World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
84
Citations
26178
World Ranking
114
National Ranking
65

Engineering and Technology

D-Index
85
Citations
27167
World Ranking
386
National Ranking
130

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2013 - John von Neumann Medal, U.S. Association for Computational Mechanics (USACM) For significant achievements in computational mechanics, and her fundamental research contributions to numerical methods for partial differential equations, high performance computing, and computational geosciences
  • 2010 - Fellow of the American Academy of Arts and Sciences
  • 2009 - SIAM Fellow For contributions to modeling and computational simulation in the geosciences.
  • 2004 - Fellow of the International Association for Computational Mechanics (IACM)
  • 1998 - Member of the National Academy of Engineering For the computer simulation of subsurface flow and the underlying mathematical algorithms.

Overview

Mary F. Wheeler is affiliated with The University of Texas at Austin in the United States. Their research spans multiple areas within engineering and computer science, with a particular focus on computational mechanics and numerical methods. The scientist's work includes advances in modeling and simulation relevant to geosciences and porous media.

The main fields of study for Mary F. Wheeler include:

  • Engineering
  • Computer Science

Subfields of study associated with their research are:

  • Computational Mechanics
  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Ocean Engineering
  • Environmental Engineering

Key topics covered in their scientific contributions include:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Composite Material Mechanics
  • Computational Fluid Dynamics and Aerodynamics
  • Reservoir Engineering and Simulation Methods
  • Enhanced Oil Recovery Techniques

Some of the recent papers authored or co-authored by Mary F. Wheeler are:

  • Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems, 2020, Multiscale Modeling and Simulation
  • Bayesian Optimization for Field-Scale Geological Carbon Storage, 2022, Engineering
  • A machine learning accelerated FE² homogenization algorithm for elastic solids, 2020, arXiv (Cornell University)
  • The FluidFlower International Benchmark Study: Process, Modeling Results, and Comparison to Experimental Data, 2023, arXiv (Cornell University)
  • An efficient algorithm for numerical homogenization of fluid filled porous solids: part-I, 2020, arXiv (Cornell University)

Frequent co-authors in Mary F. Wheeler's work include:

  • Hanyu Li
  • Saumik Dana
  • Xueying Lu
  • Qingguo Hong
  • Johannes Kraus

Themost frequent publication venues for this scientist's output are:

  • arXiv (Cornell University)
  • Multiscale Modeling and Simulation
  • Engineering
  • International Journal of Heat and Mass Transfer
  • Journal of Computational Physics

Mary F. Wheeler has received multiple recognitions including:

  • John von Neumann Medal, U.S. Association for Computational Mechanics (USACM) in 2013, for significant achievements in computational mechanics and fundamental research contributions to numerical methods and computational geosciences
  • Fellow of the American Academy of Arts and Sciences in 2010
  • SIAM Fellow in 2009, for contributions to modeling and computational simulation in the geosciences
  • Fellow of the International Association for Computational Mechanics (IACM) in 2004
  • Member of the National Academy of Engineering in 1998, for the computer simulation of subsurface flow and the underlying mathematical algorithms

Best Publications

  • AN ELLIPTIC COLLOCATION-FINITE ELEMENT METHOD WITH INTERIOR PENALTIES*

    Mary Fanett Wheeler

  • A Priori L_2 Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

    Mary Fanett Wheeler

  • Finite element and finite difference methods for continuous flows in porous media.

    T. F. Russell;M. F. Wheeler

  • Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I

    Béatrice Rivière;Mary F. Wheeler;Vivette Girault

  • Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences

    Todd Arbogast;Mary F. Wheeler;Ivan Yotov

  • The approximation of the pressure by a mixed method in the simulation of miscible displacement

    Jim Jr. Douglas;Richard E. Ewing;Mary Fanett Wheeler

  • A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems

    Béatrice Rivière;Mary F. Wheeler;Vivette Girault

  • Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics

    Richard E. Ewing;Thomas F. Russell;Mary Fanett Wheeler

  • A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach

    Timo Heister;Mary F. Wheeler;Thomas Wick;Thomas Wick

  • Compatible algorithms for coupled flow and transport

    Clint Dawson;Shuyu Sun;Mary F. Wheeler

  • A Multiscale Mortar Mixed Finite Element Method

    Todd Arbogast;Gergina Pencheva;Mary F. Wheeler;Ivan Yotov

  • Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model

    Sanghyun Lee;Mary F. Wheeler;Thomas Wick;Thomas Wick

  • Convergence of iterative coupling for coupled flow and geomechanics

    Andro Mikelic;M.F. Wheeler

  • An augmented-Lagrangian method for the phase-field approach for pressurized fractures

    Mary F Wheeler;T. Wick;W. Wollner

  • Coupled fluid flow and geomechanical deformation modeling

    Susan E. Minkoff;C. Mike Stone;Steven L Bryant;Malgorzata Peszynska

  • A characteristics-mixed finite element method for advection-dominated transport problems

    Todd Arbogast;Mary F. Wheeler

  • On optimization algorithms for the reservoir oil well placement problem

    W. Bangerth;W. Bangerth;H. Klie;M. F. Wheeler;P. L. Stoffa

  • Mixed Finite Element Methods on Nonmatching Multiblock Grids

    Todd Arbogast;Lawrence C. Cowsar;Mary F. Wheeler;Ivan Yotov

  • A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems

    Vivette Girault;Béatrice Rivière;Mary F. Wheeler

  • A Multipoint Flux Mixed Finite Element Method

    Mary F. Wheeler;Ivan Yotov

  • A Nonlinear Mixed Finite Eelement Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media

    Todd Arbogast;Mary F. Wheeler;Nai-Ying Zhang

Frequent Co-Authors

Ivan Yotov
Ivan Yotov University of Pittsburgh
Shuyu Sun
Shuyu Sun King Abdullah University of Science and Technology
Manish Parashar
Manish Parashar University of Utah
Mrinal K. Sen
Mrinal K. Sen The University of Texas at Austin
Mojdeh Delshad
Mojdeh Delshad The University of Texas at Austin
Andro Mikelić
Andro Mikelić Claude Bernard University Lyon 1
Clint Dawson
Clint Dawson The University of Texas at Austin
Béatrice Rivière
Béatrice Rivière Rice University
Ümit V. Çatalyürek
Ümit V. Çatalyürek Georgia Institute of Technology
Yalchin Efendiev
Yalchin Efendiev Texas A&M University

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