Wheeler, Mary
Overview
Works:  37 works in 114 publications in 2 languages and 2,401 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Other 
Publication Timeline
.
Most widely held works by
Mary Wheeler
Environmental studies : mathematical, computational, and statistical analysis by
Mary F Wheeler(
Book
)
12 editions published in 1996 in English and Italian and held by 212 WorldCat member libraries worldwide
Environmental protection has become a universal issue with worldwide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and largescale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field
12 editions published in 1996 in English and Italian and held by 212 WorldCat member libraries worldwide
Environmental protection has become a universal issue with worldwide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and largescale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field
Numerical simulation in oil recovery by
Mary F Wheeler(
Book
)
13 editions published between 1987 and 1988 in English and Italian and held by 181 WorldCat member libraries worldwide
13 editions published between 1987 and 1988 in English and Italian and held by 181 WorldCat member libraries worldwide
Wave propagation and inversion(
Book
)
5 editions published in 1992 in English and held by 94 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 94 WorldCat member libraries worldwide
Computational methods in geosciences by
W. E Fitzgibbon(
Book
)
7 editions published in 1992 in English and held by 91 WorldCat member libraries worldwide
7 editions published in 1992 in English and held by 91 WorldCat member libraries worldwide
Modeling and analysis of diffusive and advective processes in geosciences(
Book
)
6 editions published in 1992 in English and held by 82 WorldCat member libraries worldwide
6 editions published in 1992 in English and held by 82 WorldCat member libraries worldwide
Next generation environmental models and computational methods by
George Delic(
Book
)
7 editions published in 1997 in English and held by 69 WorldCat member libraries worldwide
7 editions published in 1997 in English and held by 69 WorldCat member libraries worldwide
Simulation of flow in porous media : applications in energy and environment by
Johannes Kraus(
Book
)
4 editions published in 2013 in English and held by 42 WorldCat member libraries worldwide
"This book is the first volume of a three volume series recording the 'Radon Special Semester 2011 on Multiscale Simulation and Analysis in Energy and Environment' taking place in Linz, Austria, October 37, 2011." BOOK JACKET
4 editions published in 2013 in English and held by 42 WorldCat member libraries worldwide
"This book is the first volume of a three volume series recording the 'Radon Special Semester 2011 on Multiscale Simulation and Analysis in Energy and Environment' taking place in Linz, Austria, October 37, 2011." BOOK JACKET
Modelling and simulation in fluid dynamics in porous media by José A Ferreira(
Book
)
7 editions published between 2012 and 2013 in English and held by 18 WorldCat member libraries worldwide
This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 1214, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a stateoftheart overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists
7 editions published between 2012 and 2013 in English and held by 18 WorldCat member libraries worldwide
This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 1214, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a stateoftheart overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists
An H 1 Galerkin method for parabolic problems in a single space variable by
Mary F Wheeler(
Book
)
5 editions published between 1974 and 1975 in English and held by 6 WorldCat member libraries worldwide
5 editions published between 1974 and 1975 in English and held by 6 WorldCat member libraries worldwide
A quasiprojection approximation method applied to Galerkin procedures for parabolic and hyperbolic equations by
Jim Douglas(
Book
)
6 editions published in 1974 in English and held by 5 WorldCat member libraries worldwide
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 called a quasiprojection, and it is used to study superconvergence phenomena associated with the Galerkin procedures
6 editions published in 1974 in English and held by 5 WorldCat member libraries worldwide
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 called a quasiprojection, and it is used to study superconvergence phenomena associated with the Galerkin procedures
A Galerkin Procedure for Approximating the Flux on the Boundary for Elliptic and Parabolic Boundary Value Problems by
Jim Douglas(
Book
)
6 editions published in 1974 in English and held by 5 WorldCat member libraries worldwide
Elliptic and parabolic boundary value problems are first solved approximately on a rectangle and then simple auxiliary calculations are performed on the Galerkin solution to produce higher order correct approximations to the boundary flux than arise from the straightforward differentiation of the Galerkin solution. L sup 2 boundary and L sup infinity estimates are derived for the error. (Author)
6 editions published in 1974 in English and held by 5 WorldCat member libraries worldwide
Elliptic and parabolic boundary value problems are first solved approximately on a rectangle and then simple auxiliary calculations are performed on the Galerkin solution to produce higher order correct approximations to the boundary flux than arise from the straightforward differentiation of the Galerkin solution. L sup 2 boundary and L sup infinity estimates are derived for the error. (Author)
Galerkin Methods for Miscible Displacement Problems in Porous Media by
Richard E Ewing(
Book
)
5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
A priori error estimates for Galerkin methods for numerical approximation of the coupled quasilinear system for c  c(x, t) and p  p(x, t) and appropriate Neumann boundary and initial conditions are considered. Equations of this type arise in models for the miscible displacement of one incompressible fluid by another in a porous medium. Estimates for both continuous time and fullydiscrete time Galerkin methods are presented
5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
A priori error estimates for Galerkin methods for numerical approximation of the coupled quasilinear system for c  c(x, t) and p  p(x, t) and appropriate Neumann boundary and initial conditions are considered. Equations of this type arise in models for the miscible displacement of one incompressible fluid by another in a porous medium. Estimates for both continuous time and fullydiscrete time Galerkin methods are presented
Some superconvergence results for an H¹Galerkin procedure for the heat equatioin by
Jim Douglas(
Book
)
4 editions published in 1973 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1973 in English and held by 4 WorldCat member libraries worldwide
Discontinuous Galerkin finite element solution for poromechanics by
Ruijie Liu(
)
1 edition published in 2004 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 3 WorldCat member libraries worldwide
Discontinuous Galerkin finite element methods applied to twophase, airwater flow problems by Owen John Eslinger(
)
1 edition published in 2005 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 3 WorldCat member libraries worldwide
A priori L2 error estimates for Galerkin approximations to parabolic partial differential equations by
Mary F Wheeler(
Book
)
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
Balancing domain decomposition for mixed finite elements by
Lawrence Cowsar(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Resource recovery, confinement, and remediation of environmental hazards by
John M Chadam(
)
3 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
The papers in this volume arose out of two workshops entitled "Confinement and Remediation of Environmental Hazards," and "Resource Recovery," as part of the IMA 19992000 program year. These workshops brought together mathematicians, engineers and scientists to summarize recent theoretical, computational, and experimental advances in the theory of phenomena in porous media. The first workshop focused on the mathematical problems which arise in groundwater transport of contamination, and the spreading, confinement and remediation of biological, chemical and radioactive waste. In the second conference, the processes underlying petroleum recovery and the geological time scale of deformation, flow and reaction in porous media were discussed. Simulation techniques were used to simulate complex domains with widelyranging spatial resolution and types of physics. Probability funcional methods for determining the most probable state of the subsurface and related uncertainty were discussed. Practical examples included breakout from chemical and radioactive waste repositories, confinement by injection of pore plugging material and bioremediation of petroleum and other wastes. This volume will be of interest to subsurface science practitioners who would like a view of recent mathematical and experimental efforts to examine subsurface science phenomena related to resource recovery and remediation issues
3 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
The papers in this volume arose out of two workshops entitled "Confinement and Remediation of Environmental Hazards," and "Resource Recovery," as part of the IMA 19992000 program year. These workshops brought together mathematicians, engineers and scientists to summarize recent theoretical, computational, and experimental advances in the theory of phenomena in porous media. The first workshop focused on the mathematical problems which arise in groundwater transport of contamination, and the spreading, confinement and remediation of biological, chemical and radioactive waste. In the second conference, the processes underlying petroleum recovery and the geological time scale of deformation, flow and reaction in porous media were discussed. Simulation techniques were used to simulate complex domains with widelyranging spatial resolution and types of physics. Probability funcional methods for determining the most probable state of the subsurface and related uncertainty were discussed. Practical examples included breakout from chemical and radioactive waste repositories, confinement by injection of pore plugging material and bioremediation of petroleum and other wastes. This volume will be of interest to subsurface science practitioners who would like a view of recent mathematical and experimental efforts to examine subsurface science phenomena related to resource recovery and remediation issues
Nonlinear KrylovSecant Solvers(
)
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
This report describes a new family of NewtonKrylov methods for solving nonlinear systems of equations arising from the solution of Richards' equation and in fully implicit formulations in airwater systems. The approach is to perform secant (Broyden) updates restricted to the Krylov subspace generated by the GMRES iterative solver. This approach is introduced as Krylovsecant methods. One of the most attractive features of these methods is their performance of sequence of rankone updates without explicitly recalling the computation or action of the Jacobian matrix. Implications of these updates in linesearch globalization strategies, computation dynamic tolerances (forcing terms) and the use of preconditioning strategies are presented. Numerical results show improvements over traditional implementations
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
This report describes a new family of NewtonKrylov methods for solving nonlinear systems of equations arising from the solution of Richards' equation and in fully implicit formulations in airwater systems. The approach is to perform secant (Broyden) updates restricted to the Krylov subspace generated by the GMRES iterative solver. This approach is introduced as Krylovsecant methods. One of the most attractive features of these methods is their performance of sequence of rankone updates without explicitly recalling the computation or action of the Jacobian matrix. Implications of these updates in linesearch globalization strategies, computation dynamic tolerances (forcing terms) and the use of preconditioning strategies are presented. Numerical results show improvements over traditional implementations
Mathematical and algorithmic issues in multiphysics coupling(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
The modeling of fluid/structure interaction is of growing importance in both energy and environmental applications. Because of the inherent complexity, these problems must be simulated on parallel machines in order to achieve high resolution. The purpose of this research was to investigate techniques for coupling flow and geomechanics in porous media that are suitable for parallel computation. In particular, our main objective was to develop an iterative technique which can be as accurate as a fully coupled model but which allows for robust and efficient coupling of existing complex models (software). A parallel linear elastic module was developed which was coupled to a three phase threecomponent black oil model in IPARS (Integrated Parallel Accurate Reservoir Simulator). An iterative decoupling technique was introduced at each time step. The resulting nonlinear iteration involved solving for displacements and flow sequentially. Rock compressibility was used in the flow model to account for the effect of deformation on the pore volume. Convergence was achieved when the mass balance for each component satisfied a given tolerance. This approach was validated by comparison with a fully coupled approach implemented in the British PetroledAmoco ACRES simulator. Another objective of this work was to develop an efficient parallel solver for the elasticity equations. A preconditioned conjugate gradient solver was implemented to solve the algebraic system arising from tensor product linear Galerkin approximations for the displacements. Three preconditioners were developed: LSOR (line successive overrelaxation), block Jacobi, and agglomeration multigrid. The latter approach involved coarsening the 3D system to 2D and using LSOR as a smoother that is followed by applying geometric multigrid with SOR (successive overrelaxation) as a smoother. Preliminary tests on a 64node Beowulf cluster at CSM indicate that the agglomeration multigrid approach is robust and efficient
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
The modeling of fluid/structure interaction is of growing importance in both energy and environmental applications. Because of the inherent complexity, these problems must be simulated on parallel machines in order to achieve high resolution. The purpose of this research was to investigate techniques for coupling flow and geomechanics in porous media that are suitable for parallel computation. In particular, our main objective was to develop an iterative technique which can be as accurate as a fully coupled model but which allows for robust and efficient coupling of existing complex models (software). A parallel linear elastic module was developed which was coupled to a three phase threecomponent black oil model in IPARS (Integrated Parallel Accurate Reservoir Simulator). An iterative decoupling technique was introduced at each time step. The resulting nonlinear iteration involved solving for displacements and flow sequentially. Rock compressibility was used in the flow model to account for the effect of deformation on the pore volume. Convergence was achieved when the mass balance for each component satisfied a given tolerance. This approach was validated by comparison with a fully coupled approach implemented in the British PetroledAmoco ACRES simulator. Another objective of this work was to develop an efficient parallel solver for the elasticity equations. A preconditioned conjugate gradient solver was implemented to solve the algebraic system arising from tensor product linear Galerkin approximations for the displacements. Three preconditioners were developed: LSOR (line successive overrelaxation), block Jacobi, and agglomeration multigrid. The latter approach involved coarsening the 3D system to 2D and using LSOR as a smoother that is followed by applying geometric multigrid with SOR (successive overrelaxation) as a smoother. Preliminary tests on a 64node Beowulf cluster at CSM indicate that the agglomeration multigrid approach is robust and efficient
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Related Identities
 Bastian, Peter (Mathematician) Editor
 Scheichl, Robert Editor
 Kraus, Johannes Author Editor
 Society for Industrial and Applied Mathematics Other Editor
 Fitzgibbon, W. E. (William Edward) 1945 Other Author Editor
 Delic, George Author Editor
 Ortoleva, Peter
 Chadam, John Author
 Ewing, Richard E. Author
 Cunningham, Al
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Associated Subjects
Approximation theory Boundary value problems Canada Convergence Decomposition (Mathematics) Differential equations, HyperbolicNumerical solutions Differential equations, Parabolic Differential equations, ParabolicNumerical solutions Differential equations, Partial Earth sciences Earth sciencesMathematics Environmental sciences Environmental sciencesComputer simulation Environmental sciencesData processing Environmental sciencesMathematical models Environmental sciencesTechnique Equations Finite element method Fluid dynamics Fluid mechanics Galerkin methods Geophysics Groundwater flow Groundwater flowMathematical models Heat equation Inverse problems (Differential equations) Mathematical models Mathematical optimization Mathematical physics Mathematics Numerical analysis Oil fields Oil fieldsProduction methodsComputer simulation PhysiologyMathematics Porosity PorosityMathematical models Porous materials Porous materialsFluid dynamics Porous materialsMechanical properties Porous materialsPermeabilityMathematical models Projection Scientists Spices Supercomputers Transport theoryMathematical models Twophase flow United States Wave equation Wavemotion, Theory of
Alternative Names
Mary F. Wheeler USamerikanische Mathematikerin
Mary Wheeler Amerikaans wiskundige
Mary Wheeler amerikansk matematikar
Mary Wheeler amerikansk matematiker
Mary Wheeler matemática estadounidense
Mary Wheeler mathématicienne américaine
Wheeler, Mary F.
Wheeler, Mary Fanett.
Wheeler, Mary Fanett 1938
ماری ویلر ریاضیدان آمریکایی
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