Technical Presentations,
Conference Presentations with Proceedings, Reports, Preprints
and Journal Publications
Technical Presentations
2009
- M. F. Wheeler.
Adaptive Discontinuous Galerkin and Mixed Finite Element
Methods for Single and Two Phase Flow and Reactive Transport
in Porous Media,
The Second International Conference on High Performance
Computing and Applications, Shanghai, China, August 10-12,
2009.
- G. Xue.
A Multiscale Mortar Multipoint Flux MFE Method for Single
and Two-Phase Flow in Porous Media,
The Second International Conference on High Performance
Computing and Applications, Shanghai, China, August 10-12,
2009.
- M. F. Wheeler.
High Fidelity Algorithms for Coupling Flow, Reactive Transport,
and Mechanics in Modeling Carbon Sequestration in Saline
Aquifers,
Workshop on Modeling and Risk Assessment of Geological Storage
of CO2, Longyearbyen, Svalbard, Norway, August 3-7, 2009.
- S. G. Thomas, M. Delshad, M. F. Wheeler.
Does it Matter How to Inject CO2?,
Workshop on Modeling and Risk Assessment of Geological Storage
of CO2, Longyearbyen, Svalbard, Norway, August 3-7, 2009.
- T. Arbogast.
Homogenization-based Mixed Multiscale Finite Elements for
Heterogeneous Elliptic Problems,
National Sun Yat-Sen University, Kaohsiung, Taiwan (ROC),
August 4, 2009.
- M. F. Wheeler.
Computational Environments for Coupling Multiphase Flow,
Transport, and Geomechanics in Modeling Sequestration of
Carbon in Saline Aquifers,
2009 Von Kármán Prize Lecture, SIAM Annual Meeting, Denver,
Colorado, July 6-10, 2009.
- S. G. Thomas, M. F. Wheeler.
Enhanced velocity mixed FEM for coupling multiphase flow
and transport on non-matching multiblock grids,
SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
- G. Pencheva.
Mortar Coupling of Discontinuous Galerkin and Mixed Finite
Element Methods for Porous Media Flow,
SIAM Annual Meeting, Denver, Colorado, July 6-10, 2009.
- T. Wildey.
A Multiscale Preconditioner for Nonlinear Multiphysics Problems
in Porous Media,
SIAM Annual Meeting, Denver, Colorado,
July 6-10, 2009.
- M. F. Wheeler.
Adaptive Discontinuous Galerkin and Mixed Finite Element
Methods for Single and Two Phase Flow and Reactive Transport
in Porous Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Leipzig, Germany, June 15-18, 2009.
- M. F. Wheeler.
Challenges for Modeling Subsurface Complex Phenomena, SIAM
SIAG/GS Career Prize,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Leipzig, Germany, June 15-18, 2009.
- T. Arbogast.
Homogenization-Based Multiscale Finite Elements for Heterogeneous
Porous Media,
SIAM Conference on Mathematical and Computational
Issues in the Geosciences, Leipzig, Germany, June 15-18,
2009.
- M. Delshad, C. Yuan, M. F. Wheeler.
Modeling Multiphase Flow Coupled with Biogeochemistry in
Porous Media, I- Non–Newtonian Fluids,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Leipzig, Germany, June 15-18, 2009.
- M. Delshad, S. G. Thomas, X. Kong, M. F. Wheeler.
High Resolution Modeling of CO2 Sequestration,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Leipzig, Germany, June 15-18, 2009.
- T. Wildey.
A Multiscale Mortar Mixed Finite Element Preconditioner
for Stochastic Flow in Porous Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Leipzig, Germany, June 15-18, 2009.
- T. Wildey.
A Multiscale Preconditioner with Application to Solute Transport
in Porous Media,
SIAM Conference on Mathematical and Computational
Issues in the Geosciences, Leipzig, Germany, June 15-18,
2009.
- G. Xue.
MPFA Mortar Multiscale Method for Multiphase Flow in Porous
Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Leipzig, Germany, June 15-18, 2009.
Presented by T. Wildey.
- T. Arbogast.
Homogenization-Based Multiscale Finite Elements for Heterogeneous
Porous Media,
MAFELAP 2009, Brunel University, West London,
England, June 9-12, 2009.
- M. F. Wheeler.
Computational Environments for Modeling Sequestration of
Carbon in Saline Aquifers,
MAFELAP 2009, Brunel University,
West London, England, June 9-12, 2009.
- M. F. Wheeler.
Multiscale Basis Mortar Mixed Finite Elements for Multiphase
Flow in Porous Media,
MAFELAP 2009, Brunel University, West
London, England, June 9-12, 2009.
- T. Arbogast.
Fully Conservative Streamline Methods for One and Two-Phase
Flows,
MAFELAP 2009, Brunel University, West London, England, June
9-12, 2009.
- M. F. Wheeler.
Computational Environments for Coupling Multiphase Flow,
Transport, and Geomechanics in Porous Media,
Tapia 70 Conference, Rice University, May 29, 2009.
- M. F. Wheeler.
Multiscale Basis Mortar Mixed Finite Elements for Multiphase
Flow in Porous Media,
Reservoir Engineering Research Institute,
Twentieth Anniversary Workshop, Palo Alto, California, May
12, 2009.
- M. F. Wheeler.
Modeling and Simulation of Subsurface Grand Challenges,
Workshop on Vision for Research and Development on Simulation
Based Engineering and Sciences in the Next Decade, National
Academy of Sciences, Washington D.C., April 22, 2009.
- M. F. Wheeler.
Computation Environments for Coupling Multiphase Flow, Transport,
and Mechanics in Porous Media,
Department of Mathematics, University of Pittsburgh, April
10, 2009.
- M. F. Wheeler.
Multiscale Methods for Flow, Transport and Mechanics in
Porous Media,
2009 SIAM Southeast Atlantic Section, University of South
Carolina, Columbia, South Carolina, April 4, 2009.
- T. Arbogast.
Variational Multiscale Methods and Mixed Multiscale Finite
Elements,
Workshop on Meshless Methods, Generalized Finite Element
Methods, and Related Approaches, University of Maryland,
March 26-28, 2009.
- M. F. Wheeler.
Multiscale Basis Mortar Mixed Finite Elements for Multiphase
Flow in Porous Media,
1st International Conference on Challenges
of Porous Media and the Inaugural Meeting of the International
Society for Porous Media, Kaiserslautern, Germany, March
11-14, 2009.
- T. Arbogast.
The Mixed Variational Multiscale Method and Aspects of Convergence
for Heterogeneous Porous Media,
Mini-Workshop on Numerical Upscaling for Flow Problems:
Theory and Applications, Mathematisches Forschungsinstitut
Oberwolfach, Oberwolfach, Germany, March 1-7, 2009.
- M. Delshad, S. G. Thomas, M. F. Wheeler.
Parallel Numerical Simulations of Non-isothermal Compositional
Flow and Chemistry – Applications to CO2 Sequestration,
Texas Finite Element Rodeo, ICES, UT at Austin, February
27-28, 2009.
- G. Pencheva.
Coupling Discontinuous Galerkin and Mixed Finite Element
Discretizations using Mortar Finite Elements,
Texas Finite Element Rodeo, ICES, UT at Austin, February
27-28, 2009.
- M. F. Wheeler.
Reservoir Simulation,
International Conference on Mathematical Modeling, Sultan
Qaboos University, February 24, 2009.
2008
- M. F. Wheeler.
Computational Frameworks for Subsurface Energy and Environmental
Modeling and Simulation,
SC08 International Conference for High Performance Computing,
Networking, Storage, and Analysis, Austin, Texas, November
15-21, 2008.
- M. F. Wheeler.
Multiscale Discretizations for Flow, Transport and Mechanics
in Porous Media,
International Conference on Scaling Up and Modeling for
Transport and Flow in Porous Media, Dubrovnik, Croatia,
October 13-16, 2008.
- T. Arbogast.
Aspects of Convergence for Mixed Multiscale Finite Elements
and a New Approach to their Definition,
International Conference on Scaling Up and Modeling for
Transport and Flow in Porous Media, Dubrovnik, Croatia,
October 13-16, 2008.
- M. F. Wheeler.
Computational Environments for Coupling Multiphase Flow,
Transport, and Mechanics in Porous Media for Modeling Carbon
Sequestration,
Department of Civil, Environmental and Construction Engineering,
University of Central Florida, September 26, 2008.
- T. Arbogast.
Multiscale Finite Element Methods for Heterogeneous Porous
Media,
Computational Infrastructure for Geodynamics (CIG) Workshop
on Mathematical and Computational Issues in the Solid Earth
Geosciences, Santa Fe, New Mexico, September 15-17, 2008.
- M. F. Wheeler.
Mortar Coupling of Discontinuous Galerkin and Mixed Finite
Element Methods,
11th European Conference on the Mathematics of Oil Recovery
(ECMOR), Bergen, Norway, September 8-11, 2008.
- M. F. Wheeler.
Modeling CO2 Sequestration Using a Sequentially Coupled
‘Iterative-IMPEC-time-split-thermal’ Compositional Simulator,
11th European Conference on the Mathematics of Oil Recovery
(ECMOR), Bergen, Norway, September 8-11, 2008.
- M. F. Wheeler.
Multiscale Modeling Issues in Modeling Carbon Sequestration,
Multiscale Modeling and Analysis Workshop, University of
Texas at Austin, August 7, 2008.
- T. Arbogast.
Volume Corrected Characteristic Methods,
SIAM National Meeting, San Diego, California, July 2008.
- M. F. Wheeler.
Multiphysics Couplings in Modeling Flow in Porous Media,
SIAM National Meeting, San Diego, California, July 2008.
- M. F. Wheeler.
Computational Environments for Modeling Carbon Sequestration,
Computational Methods in Water Resources XVII International
Conference, San Francisco, California, July 6-10, 2008.
- M. F. Wheeler.
Time Stepping for Multiphysics Couplings in Porous Media
Applications,
Legacy of John Crank, Brunel University, July 2008.
- M. F. Wheeler.
Mortar Coupling of Multiphase Flow and Reactive Transport
on Non-Matching Grids,
Finite Volumes for Complex Applications
V, Aussois, France, June 2008.
- E. Gildin, H. Klie, M. F. Wheeler.
Model Reduction of Large-Scale Reservoirs using the Generalized
Low-Rank Approximation of Matrices,
SPE Applied Technology Workshop, June 23-26, 2008, Bruges,
Belgium.
- M. F. Wheeler.
Grand Challenge Problem: Modeling Sequestration of CO2 in
Saline Aquifers,
Computer Sciences and Mathematics Colloquium, Oak Ridge
National Laboratory, May 6, 2008.
- M. F. Wheeler.
Challenges of Modeling the Heterogeneity of Cancer: A Multiscale
Model of Angiogenesis,
National Cancer Institute, Ohio State University, May 2008.
2007
- M. F. Wheeler.
Multiscale Discretizations for Flow, Transport, and Mechanics
in Porous Media,
Mathematics Colloquium, Paris VI, France,
December 2007.
- M. F. Wheeler.
Computational Environments for Modeling Carbon Sequestration,
Modeling and Simulation Conference, INRIA, France, December
2007.
- E. Gildin, A.C. Antoulas, D. Sorensen, R.H. Bishop.
An Educational Perspective to Model and Controller Reduction
of Dynamical Systems,
46th IEEE Conference on Decision and
Control (CDC), New Orleans, Louisiana, December, 2007.
- M. F. Wheeler.
Coupling Discontinuous Galerkin and Mixed Finite Element
Methods Using Mortar Methods,
Conference on Discontinuous Galerkin Methods for Partial
Differential Equations, Banff, Canada, November 2007.
- M. F. Wheeler.
Research at the Center for Subsurface Modeling,
Saudi Aramco Technology Quest, November 2007.
- T. Hong, M. K. Sen, P. L. Stoffa, H. Klie, S.
G. Thomas, A. Rodriguez, M. F. Wheeler.
Integrated Time-lapse Seismic Inversion for Reservoir Petrophysics
and Fluid Flow Imaging,
77th SEG International Exposition & Annual Meeting,
San Antonio, Texas, September 23-28, 2007.
- M. F. Wheeler.
Domain Decomposition Multiscale Methods for Flow in Porous
Media,
2007-2008 Schlumberger-Tufts Computational and Applied Math
Seminar Series, Tufts University, September 20, 2007.
- T. Arbogast.
Modeling Flow and Transport in Vuggy Porous Media,
National
Sun Yat-Sen University, Kaohsiung, Taiwan, July 25, 2007.
- M. F. Wheeler.
Multiscale Discretizations for Flow, Transport and Mechanics
in Porous Media,
9th US National Congress on Computational Mechanics, July
24, 2007.
- M. F. Wheeler.
Domain Decomposition Multiscale Methods for Flow in Porous
Media,
International Council for Industrial and Applied Mathematics,
July 19, 2007.
- M. F. Wheeler, M. Argaez, H. Klie, C. Quintero,
L. Velazquez.
Hybrid Optimization Algorithm for Solving Parameter Estimation
Problems,
6th International Congress on Industrial and Applied Mathematics,
Zurich, Switzerland, July 16-20, 2007.
- H. Klie, M. F. Wheeler.
Stochastic Krylov-Subspace Methods for Flow in Random Porous
Media,
6th International Congress on Industrial and Applied Mathematics,
Zurich, Switzerland, July 16-20, 2007.
- H. Klie, A. Rodriguez, M. F. Wheeler.
Multiscale Deflation Solvers for Flow in Porous Media,
6th International Congress on Industrial and Applied Mathematics,
Zurich, Switzerland, July 16-20, 2007.
- A. Rodriguez, H. Klie, M. F. Wheeler.
A Multiscale Method for Parameter Estimation in Reservoir
Simulation,
6th International Congress on Industrial and Applied Mathematics,
Zurich, Switzerland, July 16-20, 2007.
- A. Rodriguez, H. Klie, M. F. Wheeler.
SPSA for Oil Parameter Estimation and Reservoir Management,
6th International Congress on Industrial and Applied Mathematics,
Zurich, Switzerland, July 16-20, 2007.
- T. Arbogast.
Multiscale Computational Techniques for Second Order Elliptic
Problems,
National Sun Yat-Sen University, Kaohsiung, Taiwan, July
17, 2007.
- B. Aksoylu, H. Klie, M. F. Wheeler.
Two-Stage Physics-Based Preconditioners for Porous Media
Flow Applications,
2007 International Conference on Preconditioning Techniques
for Large Sparse Matrix Problems in Scientific and Industrial
Applications, Toulouse, France, July 9-12, 2007.
- T. Arbogast.
A Multiscale Mortar Mixed Finite Element Method for Elliptic
Problems,
Conference on Computational Methods in Energy and Environmental
Research (CMEER), Peking University, Beijing, China, July
9-12, 2007.
- T. Arbogast.
Fully Conservative Characteristic Methods for Transport
Problems,
Conference on Computational Methods in Energy and Environmental
Research (CMEER), Peking University, Beijing, China, July
9-12, 2007.
- T. Arbogast.
Multiscale Iterative Computational Methods for Heterogeneous
Second Order Elliptic Problems,
Workshop on Modeling, Analysis and Simulation of Multiscale
Nonlinear Systems, Oregon State University, Corvallis, Oregon,
June 25-29, 2007.
- E. Gildin, H. Klie, A. Rodriguez, M. F. Wheeler.
Large-Scale Control in Porous Media Flow,
SIAM Conference on Control and its Applications, San Francisco,
California, June, 2007.
- M. F. Wheeler.
Multiscales Discretizations for Flow, Transport and Mechanics
in Porous Media,
Frontiers of Scientific Computing Lecture Series, Center
for Computation and Technology, Louisiana State University,
May 1, 2007.
- M. F. Wheeler.
Computational Environments for Coupling Flow, Transport,
and Mechanics in Porous Media,
Southwest Research Center, San Antonio, Texas, April 3,
2007.
- M. F. Wheeler.
Computational Environments for Coupling Flow, Transport,
Chemistry and Mechanics in Porous Media,
Third Annual Workshop on Interdisciplinary Computational
Science, University of Houston, March 23, 2007.
- M. F. Wheeler, M. Balhoff, S. G. Thomas.
Pore to Continuum Upscaling and Coupling Using Mortars,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- M. F. Wheeler, S. Thomas.
Parallel Multiscale Mixed Method for Multiphase Flow and
Reactive Transport in Porous Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- M. F. Wheeler.
Environmental Quality Modeling,
Department of Defense PET Review, Ohio State University,
March 22, 2007.
- E. Gildin, H. Klie, A. Rodriguez, M. F. Wheeler.
Low-Order Approximation Methods for Oil Reservoir Simulation
and Control,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- T. Arbogast.
A Fully Mass and Volume Conserving Implementation of a Characteristic
Method for Transport Problems,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- T. Arbogast.
Modeling Flow and Transport in Vuggy Media,
SIAM Conference
on Mathematical and Computational Issues in the Geosciences,
Santa Fe, New Mexico, March 19-22, 2007.
- H. Klie.
Stochastic Krylov Methods for Flow in Random Porous Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- H. Klie, B. Aksoylu, M. F. Wheeler.
Physics-Based Deflation Preconditioners for Flow in Porous
Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- M. F. Wheeler.
Iterative Coupling of Multiphase Flow in Porous Media,
SIAM Conference on Mathematical and Computational Issues
in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
- M. F. Wheeler.
Domain Decomposition Multiscale Methods,
Glowinski Science Computational Science Conference, University
of Houston, March 10, 2007.
- E. Gildin, A.C. Antoulas, D. Sorensen.
Model Reduction Applied to Large-Scale Structural Dynamics
and Control,
SIAM Conference on Computational Science and Engineering,
Costa Mesa, California, February 2007.
- M. F. Wheeler.
Physics-Driven Algorithms for Modeling Subsurface Phenomena,
SIAM Conference on Mathematical and Computational Issues,
February 19, 2007.
- E. Gildin, A. C. Antoulas, D. Sorensen, R. H.
Bishop.
An Overview of Model Reduction techniques Applied to Large-Scale
structural Dynamics and Controls,
Purdue University Computing Research Institute (CRI), Spring
2007 Seminar Series, January 24, 2007.
Conference Presentations with Proceedings
2009
- K. Rai, R. T. Johns, L. W. Lake, M. Delshad.
Oil Recovery Predictions for Surfactant Polymer Flooding,
SPE paper 124001, Presented at the 2009 SPE Annual Technical
Conference and Exhibition, New Orleans, Louisiana, October
4-7, 2009.
- C. Yuan, M. Delshad, M. F. Wheeler.
Modeling Multiphase Non-Newtonian Polymer Flow in IPARS
Parallel Framework,
paper submitted to AIMS Journal, July
2009.
- M. Delshad, N. Fathi Najafabadi, K. Sepehrnoori.
Scale up Methodology for Wettability Modification in Fractured
Carbonates,
SPE paper 118915, Presented at the 2009 SPE Reservoir Simulation
Symposium, Houston, Texas, February 2-4, 2009.
- M. A. Farhadinia, S. L. Bryant, K. Sepehrnoori,
M. Delshad.
Development of a Reservoir Simulator for Prediction of Reservoir
Souring,
SPE paper 118951, Presented at the 2009 SPE Reservoir Simulation
Symposium, Houston, Texas, February 2-4, 2009.
- N. Fathi Najafabadi, C. Han, M. Delshad, K. Sepehrnoori.
Development of a Three-Phase, Fully Implicit, Parallel Chemical
Flood Simulator,
SPE paper 119002, Presented at the 2009 SPE Reservoir Simulation
Symposium, Houston, Texas, February 2-4, 2009.
- S.G. Thomas, M. Delshad, M. F. Wheeler.
Parallel Numerical Simulations of Non-Isothermal Compositional
Flow and Chemistry,
SPE paper 118847, Presented at the SPE
Reservoir Simulation Symposium, The Woodlands, Texas, February
2-4, 2009.
2008
- M. Delshad, S. Thomas, M. F. Wheeler.
Parallel Simulations of CO2 Sequestration Using a Non-Isothermal
Compositional Model,
Accepted at International Mechanical Engineering Conference
and Exposition (IMECE), ASME, Boston, Massachusetts, Oct-Nov
2008.
- S.G. Thomas, M. Delshad, M. F. Wheeler.
Modeling CO2 Sequestration Using a Sequentially Coupled
'Iterative-IMPEC-Time-Split-Thermal' Compositional Simulator,
11th European Conference on Mathematics of Oil Recover,
EAGE, Bergen, Norway, September 2008.
- M. Delshad, S. G. Thomas, M. F. Wheeler.
A Benchmark Study on Problems Related to CO2 Storage in
Geological Formations: Summary and Discussion of Results,
Special Workshop Issue of Computational Geosciences, September
2008.
- G. Pencheva, S. G. Thomas, M. F. Wheeler.
Mortar Coupling Of Discontinuous Galerkin And Mixed Finite
Element Methods,
11th European Conference on Mathematics of Oil Recovery,
EAGE, Bergen, Norway, September 2008.
- E. Gildin, M. F. Wheeler.
Optimal Subsurface Flow Management using Model Predictive
Control Techniques,
11th European Conference on Mathematics of Oil Recovery,
EAGE, Bergen, Norway, September 2008.
- E. Gildin, M. F. Wheeler.
Control of Subsurface Flow Using Model Predictive Control
Techniques,
Proceedings of the International Conference on Engineering
Optimization, Brazil, June, 2008.
- G. Pencheva, S. G. Thomas, M. F. Wheeler.
Mortar Coupling of Multiphase Flow and Reactive Transport
on Non-Matching Grids,
Finite Volumes for Complex Applications
V (Problems and Perspectives), eds. R. Eymard and J.M. Herard,
Aussois, France,
vol. 5, ISBN: 978-1-84821-035-6 (2008), pp. 135-143.
2007
- B. Lu, T. Alshaalan, M. F. Wheeler.
Iteratively Coupled Reservoir Simulation for Multiphase
Flow in Porous Media,
SPE paper 110114, 2007 SPE Annual Technical Conference and
Exhibition, Anaheim, California, November 2007.
- M. Balhoff, M. F. Wheeler.
A Predictive Pore-Scale Model for Non-Darcy Flow in Anisotropic
Porous Media,
SPE paper 110838, Presented at SPE Annual Technical Conference
and Exhibition, Anaheim, California, November 2007.
- E. Gildin, A. C. Antoulas, D. Sorensen, R. H.
Bishop.
An Overview of Model Reduction Techniques Applied to Large-Scale
Structural Dynamics and Control,
In Proceedings of the McMAT 07, Austin, Texas, July 2007.
- A. Rodriguez, H. Klie, M. F. Wheeler, R. Banchs.
Assessing Multiple Resolution Scales in History Matching
with Stochastic Neural Metamodels,
SPE Reservoir Simulation Symposium, Houston, Texas, February
26-28, 2007.
- H. Klie, K. Stueben, T. Clees, M. F. Wheeler.
Deflation AMG Solvers for Highly Ill Conditioned Reservoir
Simulation Problems,
SPE paper 105820, SPE Reservoir Simulation Symposium, Houston,
Texas, February 26-28, 2007.
- K. Stueben, T. Clees, H. Klie, B. Lu, M. F. Wheeler.
Algebraic Multigrid Methods (AMG) for the Efficient Solution
of Fully Implicit Formulations in Reservoir Simulation,
SPE paper 105832, SPE Reservoir Simulation Symposium, Houston,
Texas, Feb. 26-28, 2007.
Reports
2007
- B. Aksoylu and H. Klie, M. F. Wheeler.
Physics-Based Preconditioners for Porous Media Flow Applications,
ICES, Technical Report 07-08, 2007.
Preprints
2009
- M. F. Wheeler, T. Wildey, I. Yotov.
A Multiscale Preconditioner for Stochastic Mortar Mixed
Finite Elements,
Submitted to CMAME, 2009.
- R. Ingram, M. F. Wheeler, I. Yotov.
A Multipoint Flux Mixed Finite Element Method on Hexahedra,
Submitted to SIAM Journal of Numerical Analysis, 2009.
- B. Wang, M. F. Wheeler, I. Yotov.
Coupling multipoint flux mixed finite elements with continuous
Galerkin for poroelasticity,
In preparation, 2009.
- G. Pencheva, M. Vohralik, M. F. Wheeler, T. Wildey.
Certified a Posteriori Error Estimates for Multiscales,
Multinumerics, and Mortar Coupling,
In preparation, 2009.
- T. Arbogast, W. Wang.
Convergence of a fully conservative volume corrected characteristics-mixed
method for transport problems,
In preparation, 2009.
- T. Arbogast, Ch.-S. Huang, T. F. Russell.
A locally conservative streamline method for a model two-phase
flow problem in a one-dimensional porous medium,
In preparation, 2009.
- T. Arbogast, Ch.-S. Huang.
A fully conservative Eulerian-Lagrangian method for a convection-diffusion
problem in a solenoidal field,
Submitted, 2009.
- M. A. Farhadinia, S. L. Bryant, K. Sepehrnoori,
M. Delshad.
Development and Implementation of a Multi-Dimensional Reservoir
Souring Module in a Chemical Flooding Simulator (UTCHEM),
Accepted for publication, Journal of Petroleum Science and
Technology, 2009.
- M. A. Farhadinia, S. L. Bryant, K. Sepehrnoori,
M. Delshad.
Application of A 3-D Reservoir Simulator with Biodegradation
Capability to Evaluate Reservoir Souring Predictive Models,
Accepted for publication, Journal of Petroleum Science and
Technology, 2009.
- E. J. Park, M. F. Wheeler.
An analysis of multiscale mortar mixed finite element method,
In preparation.
- E. Gildin, R. H. Bishop, M. F. Wheeler.
New Paradigms in Control Systems: Large-Scale Control in
Porous Media,
In preparation.
- E. Gildin, H. Klie, M. F. Wheeler.
Model-order Reduction of Large-Scale Reservoir Models using
Tensor Decompositions, In preparation.
- V. Girault, M. F. Wheeler.
Discontinuous Galerkin Methods, Computational Modeling with
Partial Differential Equations in Science and Engineering,
Accepted.
- M. Kim, M. F. Wheeler.
Coupling discontinuous Galerkin discretizations using mortar
finite elements for advection-diffusion-reaction problems,
Submitted to SIAM Journal on Numerical Analysis.
Journal Publications
2009
- J. Basabe, M. Sen, M. F. Wheeler.
Comment On ‘Dispersion Analysis of Spectral Element Methods
for Elastic Wave Propogation’ by G. Seriani and S.P. Oliveira,
Wave Motion, Vol. 46, Issue 1 (2009), pp. 92-93.
- M. Delshad, S. Thomas, M. F. Wheeler.
A
benchmark-study on problems related to CO2 storage in geological
formations - Summary and discussion of the results,
Special Issue of Computational Geosciences, SpringerLink,
July 2009.
- R. Liu, M. F. Wheeler, C.N. Dawson.
A Three-Dimensional Nodal-Based Implementation of a Family
of Discontinuous Galerkin Methods for Elasticity Problems,
Computers and Structures, Vol. 87, Issue 3-4 (2009), pp.
141-150.
- B. Aksoylu, H. Klie.
Physics-based preconditioners for solving PDEs on highly
heterogeneous media,
Applied Numerical Mathematics, Vol. 59, Issue 6 (2009),
pp. 1159-1186.
- M. Balhoff, A. Mikelic, M. F. Wheeler.
Polynomial
filtration laws for low Reynolds number flows through porous
media,
Transport in Porous Media, Online First, April 2009.
- S. Sun, H. Wang, K. Wang, M. F. Wheeler.
An optimal-order L^2-error estimate for nonsymmetric discontinuous
Galerkin methods for a diffusion equation in multiple space
dimensions,
Computer Methods in Applied Mechanics and Engineering, Vol.
198 (2009), Issue 27-29, pp. 2190-2197.
- M. F. Wheeler, M.T. Balhoff.
A
Predictive Pore-Scale Model for Non-Darcy Flow in Porous
Media,
SPE Journal, Online First, July 2009.
- R. Liu, M. F. Wheeler, C.N. Dawson, R. Dean.
On a coupled discontinuous/continuous Galerkin framework
and an adaptive penalty scheme for poroelasticity problems,
CMAME, Volume 198, Issues 41-44 (2009), pp. 3499-3510.
- T. Arbogast, M. S. M. Gomez.
A discretization and multigrid solver for a Darcy-Stokes
system of three-dimensional vuggy porous media,
Comput. Geosci., Vol. 13 (2009), pp. 331-348.
- J. Li, T. Arbogast, Y. Huang.
Mixed methods using standard conforming finite elements,
CMAME, Vol. 198 (2009), pp. 680-692.
- V. Girault, G. Pencheva, M. F. Wheeler, T. Wildey.
Domain decomposition for linear elasticity with DG jumps
and mortars,
CMAME, Vol.198 (2009), pp. 1751-1765.
- B. Liang, K. Sepehrnoori, M. Delshad.
An Automatic History Matching Module with Distributed and
Parallel Computing,
Journal of Petroleum Science and Technology, Vol. 27 (2009),
pp. 1092-1108.
- B. Liang, K. Sepehrnoori, M. Delshad.
A weighted Ensemble Kalman Filter for Automatic History
Matching,
Journal of Petroleum Science and Technology, Vol. 27 (2009),
pp. 1062-1091.
- H. Mohammadi, M. Delshad, G. A. Pope.
Mechanistic Modeling of Alkaline/Surfactant/Polymer Floods,
Paper SPE 110212, SPE Reservoir Evaluation and Engineering
Journal, Aug. 2009, pp. 518-57.
- M. Delshad, N. Najafabadi Fathi, G. Anderson,
G. A. Pope, K. Sepehrnoori.
Modeling Wettability Alteration in Naturally Fractured Reservoirs,
SPE Reservoir Evaluation and Engineering Journal, June 2009,
pp. 361-370.
- C. Han, M. Delshad, G. A. Pope, K. Sepehrnoori.
Coupling EOS Compositional and Surfactant Models in A Fully
Implicit Parallel Reservoir Simulator Using EACN Concept,
SPE Journal, June 2009, pp. 302-310.
- C. N. Dawson, R. Dean, R. Liu, M. F. Wheeler.
Modeling of convection-dominated thermoporomechanics problems
using incomplete interior penalty Galerkin method,
CMAME, Vol. 198, Issue 9-12 (2009), pp. 912-919.
- P. J. Phillips, M. F. Wheeler.
Overcoming the problem of locking in linear elasticity and
poroelasticity: an heuristic approach,
Comput. Geosci., Vol. 13, Issue 1 (2009).
2008
- G. Pencheva, I. Yotov.
Interior superconvergence in mortar and non-mortar mixed
finite element methods on non-matching grids,
CMAME, 197 (2008), pp. 4307-4318.
- J. Basabe, M. Sen, M. F. Wheeler.
The interior penalty discontinuous Galerkin method for elastic
wave propagation: grid dispersion,
Geophysical Journal International, vol. 175, No. 1 (2008),
pp. 83-93.
- V. Girault, M. F. Wheeler.
Numerical discretization of a Darcy-Forchheimer model,
Numerische Mathematik, Vol. 110, No. 2 (2008), pp. 161-198.
- B. Ganis, H. Klie, M. F. Wheeler, T. Wildey, I.
Yotov, D. Zhang.
Stochastic collocation and mixed finite elements for flow
in porous media,
CMAME, Vol. 197, No. 43-44 (2008), pp. 3547-3559.
- P. J. Phillips, M. F. Wheeler.
A coupling of mixed and discontinuous Galerkin finite-element
methods for poroelasticity,
Comput. Geosci., Vol. 12, No. 4 (2008), pp. 417-435.
- V. Girault, S. Sun, M. F. Wheeler, I. Yotov.
Coupling discontinuous Galerkin and mixed finite element
discretizations using mortar finite elements,
SIAM Journal on Numerical Analysis, Vol. 46, No. 2 (2008),
pp. 949-979.
- S. G. Thomas, M. Balhoff, M. F. Wheeler.
Mortar coupling and upscaling of Porescale models,
Comput. Geosci., Springer Neth., Vol. 12, No. 1 (2008),
pp. 15-27.
2007
- T. Arbogast, D. S. Brunson.
A computational method for approximating a Darcy-Stokes
system governing a vuggy porous medium,
Comput. Geosci., Vol. 11, No. 3 (2007), pp. 207-218.
- T. Arbogast, Ch.-S. Huang, S.-M. Yang.
Improved accuracy for alternating-direction methods for
parabolic equations based on regular and mixed finite elements,
Mathematical Models and Methods in Applied Sciences, Vol.
17, No. 8 (2007), pp. 1279-1305.
- T. Arbogast, G. Pencheva, M. F. Wheeler, I. Yotov.
A multiscale mortar mixed finite element method,
Multiscale Model. Simul., Vol. 6, No. 1 (2007), pp. 319-346.
- R. Naimi-Tajdar, C. Han, K. Sepehrnoori, T. J.
Arbogast, M. A. Miller.
A Fully Implicit, Compositional, Parallel Simulator for
IOR Processes in Fractured Reservoirs,
SPE Journal, Vol. 12, No. 3 (2007).
- R. E. Banchs, H. Klie, A. Rodriguez, S. G. Thomas,
M. F. Wheeler.
A Neural Stochastic Multiscale Optimization Framework for
Sensor-Based Parameter Estimation,
Integrated Computer-Aided Engineering, Vol. 14, No. 3 (2007),
pp. 213-223.
- I. Aavatsmark, G. T. Eigestad, R. A. Klausen,
I. Yotov, M. F. Wheeler.
Convergence of a symmetric MPFA method on quadrilateral
grids,
Comput. Geosci., Vol. 11, No. 4 (2007), pp. 333-345.
- M. Balhoff, S. G. Thomas, M. F. Wheeler.
Mortar coupling and upscaling of pore-scale models,
Comput. Geosci., Vol. 12, No. 1 (2007), pp. 15-27.
- M. Kim, E. Park, S. G. Thomas, M. F. Wheeler.
A multiscale mortar mixed finite element method for slightly
compressible flows in porous media,
J. Korean Math. Soc, Vol. 44, No. 5 (2007), pp. 1103-1119.
- S. Sun, M. F. Wheeler.
Discontinuous Galerkin methods for simulating bioreactive
transport of viruses in porous media,
Advances in Water Resources, Vol. 30, No. 6-7 (2007), pp.
1696-1710.
- P. J. Phillips, M. F. Wheeler.
A Coupling of Mixed and Continuous Galerkin Finite Element
Methods for Poroelasticity I: the Continuous in Time Case,
Comput. Geosci., Vol. 11, No. 2 (2007), pp. 131-144.
- P. J. Phillips, M. F. Wheeler.
A Coupling of Mixed and Continuous Galerkin Finite Element
Methods for Poroelasticity II: the Discrete in Time Case,
Comput. Geosci., Vol. 11, No. 2 (2007), pp. 145-158.
- S. Sun, M. F. Wheeler.
Local problem-based a posteriori error estimates for discontinuous
Galerkin approximations to reactive transport,
Comput. Geosci., Vol. 11, No. 2 (2007), pp. 87-101.
- X. Gai, M. F. Wheeler.
Iteratively coupled mixed and Galerkin finite element methods
for poro-elasticity,
Numerical Methods for Partial Differential
Equations, Vol. 23, No. 4 (2007), pp. 785-797.
- T. F. Russell, M. F. Wheeler, I. Yotov.
Superconvergence for control-volume mixed finite element
methods on rectangular grids,
SIAM Journal on Numerical
Analysis, Vol. 45, No. 1 (2007), pp. 223-235.
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