Vivette Girault, Shuyu Sun, Mary F. Wheeler, Ivan Yotov
Abstract. Discontinuous Galerkin (DG) and mixed finite element (MFE) methods are two popular methods that possess local mass conservation. In this paper we investigate DG-DG and DG-MFE domain...
Towards Dynamic DataDriven Optimization of Oil well Placement (2009)
Manish Parashar, Vincent Matossian, Wolfgang Bangerth, Hector Klie, Benjamin Rutt, Tahsin Kurc, ...
Abstract. The adequate location of wells in oil and environmental applications has a significant economical impact on reservoir management. However, the determination of optimal well locations is...
Towards Dynamic DataDriven Optimization of Oil well Placement (2008)
Manish Parashar, Vincent Matossian, Wolfgang Bangerth, Hector Klie, Benjamin Rutt, Tahsin Kurc, ...
Abstract. The adequate location of wells in oil and environmental applications has a significant economical impact on reservoir management. However, the determination of optimal well locations is...
SPE 66359 A Parallel Multi-Block Black-Oil Model in Multi-Model Implementation (2008)
Qin Lu, Mark Graphics Corp, Malgorzata Peszynska, Mary F. Wheeler
This paper was prepared for presentation at the SPE Reservoir Simulation Symposium held in
Hector Klie, Wolfgang Bangerth, Mary F. Wheeler, Manish Parashar, Vincent Matossian
The determination of optimal well locations is a challenging problem in oil production since it depends on geological and fluid properties as well as on economic parameters. This work addresses the...
Abstract. Explicit a posteriori residual type error estimators in energy norm are derived for four primal DG schemes (i.e. OBB-DG, NIPG, SIPG and IIPG) applied to transport in porous media with...
Manish Parashar, Vincent Matossian, Wolfgang Bangerth, Hector Klie, Benjamin Rutt, Tahsin Kurc, ...
Abstract. The adequate location of wells in oil and environmental applications has a significant economical impact on reservoir management. However, the determination of optimal well locations is...
A posteriori error estimates for the mortar mixed finite element method (2008)
Abstract. Several a posteriori error estimators for mortar mixed finite element discretizations of elliptic equations are derived. A residual-based estimator provides optimal upper and lower bounds...
Competition Between Chemical and Physical Processes in Bioremediation (2008)
Xiaohong Wang, Mary F. Wheeler, Steven Bryant
The performance of an in-situ groundwater remediation project is a complicated function of many factors, including subsurface flow rates and patterns, diffusion/dispersion, rate of contamination from...
Numer. Math. (2005) DOI 10.1007/s00211-005-0631-4 (2008)
Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler, Ivan Yotov
A mortar mimetic finite difference method on non-matching grids
Vivette Girault, Shuyu Sun, Mary F. Wheeler, Ivan Yotov
Abstract. Discontinuous Galerkin (DG) and mixed finite element (MFE) methods are two popular methods that possess local mass conservation. In this paper we investigate DG-DG and DG-MFE domain...
Numer. Math. (2005) 102: 203–230 DOI 10.1007/s00211-005-0631-4 (2008)
Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler, Ivan Yotov
A mortar mimetic finite difference method on non-matching grids
Superconvergence for control volume mixed finite element methods on rectangular grids (2008)
Thomas F. Russell, Mary F. Wheeler, Ivan Yotov
Abstract. We consider control-volume mixed finite element methods for the approximation of second-order elliptic problems on rectangular grids. These methods associate control volumes (covolumes)...
THE FEASIBILITY OF A NEW OPTIMIZATION APPROACH TO MULTIPHASE FLOW \Lambda (2008)
Roland Glowinskiz, Anthony J. Kearsleyx, Mary F. Wheeler
Abstract. A new optimization formulation for multiphase flow in porous media is introduced. A locally mass conservative mixed finite element method is used for the spatial discretization. An...
TWO-STAGE PRECONDITIONERS FOR INEXACT NEWTON METHODS IN MULTI-PHASE RESERVOIR SIMULATION (2007)
Mary Wheeler, H Ector, Kl Ie, Marcelo Ram, Mary F. Wheeler
Abstract. Two-stage procedures refers to a family of convergent nested or inner-outer iterations. This paper addresses their use as preconditioners in the context of systems of coupled nonlinear...
Modi cation of the External Mode Solver in CH3D-Z (2007)
Clint Dawson, Clint Dawson, Dharhas Potina, Dharhas Potina, Mary F. Wheeler, Mary F. Wheeler
CH3D-Z is a well-known hydrodynamic, salinity and temperature model developed
Mary F. Wheeler, Mary F. Wheeler, Clint Dawson, Clint Dawson, Victor J. Parr, Victor J. Parr, ...
This report describes the work done in a PET focused e ort to develop a general parallel 3D locally conservative projection program, and as a rst application, in-terface the software to the RMA-10...
for Computing Locally Conservative Velocity Fields (2007)
Mary F. Wheeler, Mary F. Wheeler, Clint Dawson, Clint Dawson, Jichun Li, Jichun Li, ...
In the numerical modeling of uid ow and transport problems, the computed velocity eld frequently needs to be projected from one grid to another between di erent models. Usually the ow
Progress Report: Parallelization of ADCIRC3D (2007)
Mary F. Wheeler, Mary F. Wheeler, Clint Dawson, Clint Dawson, Monica Martinez, Monica Martinez, ...
Views, opinions, and/or findings contained in this report are those of the author(s) and should not be construed as an official Department of Defense Position, policy, or decision unless so...
Progress Report: Parallelization of ADCIRC3D (2007)
Mary F. Wheeler, Mary F. Wheeler, Srinivas Chippada, Clint Dawson, Clint Dawson, Monica Martinez, ...
INTRODUCTION. ADCIRC is a finite element shallow water hydrodynamic flow model based on methodology developed over a period of years by Gray, Kinnmark, Kolar, Luettich, Lynch, Westerink and others;...
A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems (2007)
The goal of this work is to introduce and analyze a nite element scheme based on discontinuous approximation spaces for solving linear elasticity problems. A priori error estimates are derived in two...
Abstract. Semi-discrete and a family of discrete time locally conservative Discontinuous Galerkin procedures are formulated for approximations to nonlinear parabolic equations. For the continuous...
A Priori Error Estimates of Finite Element Models of Systems of Shallow Water Equations (2007)
Mary F. Wheeler, Clint N. Dawson
by
1 LOCALLY CONSERVATIVE ALGORITHMS FOR FLOW (2007)
Locally mass conservative methods for subsurface flow are presented and applied to the unstable miscible displacement problem arising in porous media. The pressure equation is solved either by the...
Mary F. Wheeler, Vivette Girault
Three Galerkin methods using discontinuous approximation spaces are introduced to solve elliptic problems. The underlying bilinear form for all three methods is the same and is nonsymmetric. In one...
Clint Dawson Supervisor, Mary F. Wheeler, Jennifer Kay Proft, Jennifer Kay Proft, Supervisor Clint Dawson
I am exceptionally grateful to my devoted husband David, to my parents and to our families. I would like to thank my advisor Dr. Clint Dawson for his helpful support, advice and forbearance, and Dr....
A multiscale mortar mixed finite element method (2006)
Todd Arbogast, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov
Abstract. We develop multiscale mortar mixed finite element discretizations for second order elliptic equations. The continuity of flux is imposed via a mortar finite element space on a coarse grid...
I.: A cell-centered finite difference method on quadrilaterals (2006)
Abstract. We develop a cell-centered finite difference method for elliptic problems on curvilinear quadrilateral grids. The method is based on the lowest order Brezzi-Douglas-Marini (BDM) mixed...
A multiscale mortar mixed finite element method (2006)
Todd Arbogast, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov
Abstract. We develop multiscale mortar mixed finite element discretizations for second order elliptic equations. The continuity of flux is imposed via a mortar finite element space on a course grid...
A multipoint flux mixed finite element method (2005)
Abstract. We develop a mixed finite element method for single phase flow in porous media that reduces to cell-centered finite differences on quadrilateral and simplicial grids and performs well for...
An autonomic reservoir framework for the stochastic optimization of well placement (2004)
Wolfgang Bangerth, Hector Klie, Mary F. Wheeler
Abstract. The adequate location of wells in oil and environmental applications has a significant economic impact on reservoir management. However, the determination of optimal well locations is both...
An Autonomic Reservoir Framework for the Stochastic Optimization of Well Placement (2004)
Wolfgang Bangerth, Hector Klie, Vincent Matossian, Manish Parashar, Mary F. Wheeler
The adequate location of wells in oil and environmental applications has a significant economical impact on reservoir management. However, the determination of optimal well locations is both...
Autonomic oil reservoir optimization on the grid (2003)
Vincent Matossian, Viraj Bhat, Manish Parashar, Małgorzata Peszyńska, Mary F. Wheeler
The emerging Grid infrastructure and its support for seamless and secure interactions is enabling a new generation of autonomic applications where the application components, Grid services,...
A technical method of approximating the Galerkin approximation to solutions of parabolic and hyperbolic equations can be based on a finite sequence of elliptic projections. The resulting function is...
Mortar Upscaling for Multiphase Flow in Porous Media (2002)
Malgorzata Peszynska, Mary F. Wheeler, Ivan Yotov, Ivanyotov B
this paper we establish a close connection between the mortar methodology and some recent upscaling procedures often referred to as subgrid-scale modeling [26,35,2] which treat linear steady-state or...
Enhanced Velocity Mixed Finite Element Methods for Flow in Multiblock Domains (2002)
John A. Wheeler, Mary F. Wheeler
this paper we study an alternative approach based on enhancing the velocity space along the subdomain interfaces. This allows for constructing flux-continuous velocity approximation. The advantage of...
Providing Infrastructure and Interface to High Performance Applications (2001)
Dorian C. Arnold, Jack Dongarra, Wonsuck Lee, Mary F. Wheeler
The NetSolve project was established to aid scientists who prefer not to be concerned with the usual tedium associated with nding and maintaining software libraries which they use to create programs,...
Multiphysics coupling of codes (2000)
Ma Lgorzata Peszynska, Qin Lu, Mary F. Wheeler
We discuss the coupling of codes for the solution of multi{component multi{ phase ow problems in the subsurface. The coupled codes simulate the ow and transport in a porous reservoir which can be...
Abstract. A posteriori error estimates for locally mass conservative methods for subsurface ow are presented. These methods are based on discontinuous approximation spaces and referred as...
Mary F. Wheeler, John A. Wheeler, Ma Lgorzata, Peszy Nska
Abstract. We describe a computing framework or portal called IPARS for modeling multi{phase, multi{physics ow in porous media, suitable for massively parallel computers or clusters of workstations....
Multigrid On The Interface For Mortar Mixed Finite Element Methods For Elliptic Problems (2000)
this paper is to discuss the extension of the above domain decomposition and multigrid algorithms to the case of non-matching multiblock grids and present theoretical and numerical results for their...
Mixed finite element methods on non-matching multiblock grids (2000)
Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov
Abstract. We consider mixed finite element methods for second order elliptic equations on nonmatching multiblock grids. A mortar finite element space is introduced on the nonmatching interfaces. We...
Competition between Chemical and Physical Processes in Bioremediation (1999)
Xiaohong Wang, Xiaohong Wang, Mary F. Wheeler, Mary F. Wheeler, Steven Bryant, Steven Bryant
The performance of an in-situ groundwater remediation project is a complicated function of many factors, including subsurface flow rates and patterns, diffusion/dispersion, rate of contamination from...
A Parallel Multiblock/Multidomain. . . (1999)
Our approach for parallel multiphysics and multiscale simulation uses two levels of domain decomposition: physical and computational. First, the physical domain is decomposed into subdomains or...
Advanced Solver Methods for Subsurface Environmental Problems (1998)
Klie, Hector, Wheeler, Mary F.
The present report outlines recent results relative to the development of new linear and nonlinear approaches for solving groundwater flow problems. Efficient and robust simulation of complex...
Nonlinear Krylov-Secant Solvers (1998)
Klie, Hector, Wheeler, Mary F.
This report describes a new family of Newton-Krylov methods for solving nonlinear systems of equations arising from the solution of Richards' equation and in fully implicit formulations in air-water...
Enhanced Cell-Centered Finite Differences For Elliptic Equations On General Geometry (1998)
Todd Arbogast Clint, Clint N. Dawson, Philip T. Keenan, Mary F. Wheeler, Ivan Yotov
. We present an expanded mixed finite element method for solving second-order elliptic partial di#erential equations on geometrically general domains. For the lowest-order Raviart--Thomas...
Physical and Computational Domain Decompositions for Modeling Subsurface Flows (1998)
this paper we will discuss a novel numerical methodology for subsurface modeling based on multiblock domain decomposition formulations. Multiblock discretizations involve the introduction of special...
Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry (1998)
Todd Arbogast, Clint N. Dawson, Philip T. Keenan, Mary F. Wheeler, Ivan Yotov
. We present an expanded mixed finite element method for solving second-order elliptic partial di#erential equations on geometrically general domains. For the lowest-order Raviart--Thomas...
Todd Arbogast, Mary F. Wheeler, Ivan Yotov
. We present an expanded mixed finite element approximation of second-order elliptic problems containing a tensor coe#cient. The mixed method is expanded in the sense that three variables are...
T. Arbogast, M. F. Wheeler, I. Yotov, Todd Arbogast, Mary F. Wheeler
. We present an expanded mixed finite element approximation of second order elliptic problems containing a tensor coefficient. The mixed method is expanded in the sense that three variables are...
Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Chemistry (1997)
T. Arbogast, C. N. Dawson, P. T. Keenan, M. F. Wheeler, I. Yotov, Todd Arbogast, ...
. We present an expanded mixed finite element method for solving second order elliptic partial differential equations on geometrically general domains. For the lowest-order RaviartThomas...
Parallel Computing for Finite Element Models on Surface Water Flows (1997)
S. Chippada, C. Dawson, M. Martinez, M. Wheeler, Clint N. Dawson, Mary F. Wheeler
this paper, we will examine a finite element approximation to a modified shallow water model described below. Computational and experimental evidence in the literature suggest that this formulation...
Mixed Finite Element Methods on Non-Matching Multiblock Grids (1996)
Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler, Ivan Yotov
. We consider mixed finite element methods for second order elliptic equations on non-matching multiblock grids. A mortar finite element space is introduced on the non-matching interfaces. We...
Mixed Finite Element Methods On Non-Matching Multiblock Grids (1996)
Todd Arbogast, Mary F. Wheeler
. We consider mixed finite element methods for second order elliptic equations on non-matching multiblock grids. A mortar finite element space is introduced on the non-matching interfaces. We...
Nai-ying Zhang, Todd Arbogast, Todd Arbogast, Mary F. Wheeler, Mary F. Wheeler
. We study a model nonlinear, degenerate, advection-diffusion equation having application in petroleum reservoir and groundwater aquifer simulation. The main difficulty is that the true solution is...
Mixed Finite Element Methods on Non-Matching Multiblock Grids (1996)
T. Arogast, L. C. Cowsar, M. F. Wheeler, I. Yotov, Todd Arbogast, Mary F. Wheeler
We consider mixed finite element methods for second order elliptic equations on non-matching multiblock grids. A mortar finite element space is introduced on the non-matching interfaces. We...
Mixed Finite Element Methods for Variably Saturated Subsurface Flow (1996)
Mary F. Wheeler, Dan C. Sorensen, J. Akin
The flow of water through variably saturated subsurface media is commonly modeled by Richards' equation, a nonlinear and possibly degenerate partial differential equation. Due to the...
Mary F. Wheeler, Lawrence C. Cowsar, Lawrence C. Cowsar, Todd F. Dupont, Todd F. Dupont
. Optimal order L 1 -in-time, L 2 -in-space a priori error estimates are derived for mixed finite element approximations for both displacement and stress for a second order hyperbolic equation with...
Mixed Finite Element Methods for Modeling Flow and Transport in Porous Media (1995)
Mary Wheeler, Ivan Yotov, Mary F. Wheeler
. Mixed finite element methods applied to modeling flow and transport in porous media are discussed for both single and multiphase problems. An expanded mixed finite element method is introduced to...
Implementation of Mixed Finite Element Methods for Elliptic Equations on General Geometry (1995)
Clint Dawson, Philip Keenan, Mary Wheeler, Ivan Yotov, Todd Arbogast, Todd Arbogast, ...
. We consider the efficient implementation of mixed finite elements for solving second order elliptic partial differential equations on geometrically general domains, concentrating on the...
Mary Wheeler, Todd Arbogast, Todd Arbogast, Mary F. Wheeler, Ivan Yotov, Ivan Yotov
. We present an expanded mixed finite element approximation of second order elliptic problems containing a tensor coefficient. The mixed method is expanded in the sense that three variables are...
Logically Rectangular Mixed Methods for Darcy Flow on General Geometry (1995)
T. Arbogast, P. T. Keenan, M. F. Wheeler, I. Yotov, Todd Arbogast, Philip T. Keenan, ...
We consider an expanded mixed finite element formulation (cell centered finite differences) for Darcy flow with a tensor absolute permeability. The reservoir can be geometrically general with...
Biodegradation Kinetics, Todd Arbogast, Todd Arbogast, Clint N. Dawson, Clint N. Dawson, Mary F. Wheeler, ...
We discuss the formulation of a simulator in three spatial dimensions for two phase groundwater flow and transport with biodegradation kinetics that has been developed at Rice University for...
Biodegradation Kinetics, Todd Arbogast, Todd Arbogast, Clint N. Dawson, Clint N. Dawson, Mary F. Wheeler, ...
We discuss the formulation of a simulator in three spatial dimensions for two phase groundwater flow and transport with biodegradation kinetics that has been developed at Rice University for...
Logically Rectangular Mixed Methods for Groundwater Flow and Transport on General Geometry (1994)
Todd Arbogast, Todd Arbogast, Mary F. Wheeler, Mary F. Wheeler, Ivan Yotov, Ivan Yotov
We consider an extended mixed finite element formulation for groundwater flow and transport problems with either a tensor hydraulic conductivity or a tensor dispersion. While the aquifer domain can...
A Parallel Numerical Model for Subsurface Contaminant Transport with Biodegradation Kinetics (1993)
Subsurface Contaminant, Subsurface Contaminant Transport, Biodegradation Kinetics, Todd Arbogast, Todd Arbogast, Mary F. Wheeler, ...
In this paper we discuss the formulation of a simulator for groundwater flow and transport with biodegradation kinetics that has been developed at Rice University for massively parallel, distributed...
Local $H^{-1}$ Galerkin and adjoint local $H^{-1}$ Galerkin procedures for elliptic equations (1977)
Douglas, Jim Jr., Dupont, Todd, Rachford, Henry H. Jr., Wheeler, Mary F.
A Posteriori Error Estimates for the Mortar Mixed Finite Element Method (0000)
RESUMEN RESUMEN Several a posteriori error estimators for mortar mixed finite element discretizations of elliptic equations are derived. A residual-based estimator provides optimal...
A Posteriori Error Estimates for the Mortar Mixed Finite Element Method
RESUMEN RESUMEN Several a posteriori error estimators for mortar mixed finite element discretizations of elliptic equations are derived. A residual-based estimator provides...
Balancing Domain Decomposition for Mixed Finite Elements
Mary F. Wheeler, Lawrence Cowsar, Lawrence C. Cowsar, Jan Mandel, Jan Mandel, ...
. The rate of convergence of the Balancing Domain Decomposition method applied to the mixed finite element discretization of second order elliptic equations is analyzed. The Balancing Domain...