M
Mary F. Wheeler
Researcher at University of Texas at Austin
Publications - 501
Citations - 20139
Mary F. Wheeler is an academic researcher from University of Texas at Austin. The author has contributed to research in topics: Finite element method & Galerkin method. The author has an hindex of 70, co-authored 488 publications receiving 18290 citations. Previous affiliations of Mary F. Wheeler include International Council for the Exploration of the Sea & University of Texas System.
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A Nonlinear Mixed Finite Eelement Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
TL;DR: In this paper, the authors consider the problem from the point of view of optimal approximation and develop a mixed variational form that respects the known minimal regularity, and then develop and analyze two versions of a mixed finite element approximation, a simpler semidiscrete (time-continuous) version and a fully discrete version.
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A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium
TL;DR: The pressurized phase- field framework is extended to fluid-filled fractures in which the pressure is computed from a generalized parabolic diffraction problem, and the phase-field variable is used as an indicator function to combine reservoir and fracture pressure.
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A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
TL;DR: In this paper, a procede efficace de discretisation en temps for un systeme decrivant le deplacement miscible d'un fluide incompressible par un autre en milieu poreux is presented.
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A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
TL;DR: In this paper, a two-level finite difference scheme for the approximation of nonlinear parabolic equations is presented, in which the full nonlinear problem is solved on a "coarse" grid of size H and an appropriate interpolation operator is used to provide values of the coarse grid solution on the fine grid in terms of superconvergent node points.
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Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
Shuyu Sun,Mary F. Wheeler +1 more
TL;DR: A parabolic lift technique for SIPG is developed, which leads to h-optimal and nearly p-Optimal error estimates in the L2(L2) and negative norms, and numerical results validate these estimates.