World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
14507
World Ranking
1647
National Ranking
709

Engineering and Technology

D-Index
43
Citations
14507
World Ranking
5989
National Ranking
1658

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2012 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2010 - SIAM Fellow For advances in finite element and multigrid methods for the numerical solution of partial differential equations.

Overview

Susanne C. Brenner is affiliated with Louisiana State University in the United States and has a significant body of research contributions in engineering, computer science, and mathematics. Their work primarily engages with computational mechanics, computational theory and mathematics, mechanics of materials, numerical analysis, and applied mathematics.

Their research topics cover a broad spectrum of advanced numerical and mathematical modeling methods, including:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Composite Material Mechanics
  • Contact Mechanics and Variational Inequalities
  • Nonlinear Partial Differential Equations
  • Computational Fluid Dynamics and Aerodynamics

Susanne C. Brenner has published extensively in reputable venues. Frequent publication venues include:

  • Computational Methods in Applied Mathematics
  • arXiv (Cornell University)
  • Results in Applied Mathematics
  • Journal of Scientific Computing
  • Journal of Computational and Applied Mathematics

Recent scholarly articles highlight a focus on finite element methods, optimal control problems, and Hamilton-Jacobi-Bellman equations. Selected papers include:

  • "A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints," 2021, Mathematical Models and Methods in Applied Sciences
  • "P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions," 2020, Results in Applied Mathematics
  • "Adaptive C0 interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients," 2020, Journal of Computational and Applied Mathematics
  • "Multigrid methods for saddle point problems: Optimality systems," 2020, Journal of Computational and Applied Mathematics
  • "Additive Schwarz preconditioners for a localized orthogonal decomposition method," 2021, ETNA - Electronic Transactions on Numerical Analysis

Their collaborative network includes frequent co-authors such as Li-yeng Sung, Zhiyu Tan, José C. Garay, Li-Yeng Sung, and Sijing Liu.

In book publications, Susanne C. Brenner has contributed to works released by Springer Nature and the American Mathematical Society. Examples include:

  • Domain Decomposition Methods in Science and Engineering XXVI, 2022, Springer Nature
  • 75 Years of Mathematics of Computation, 2020, American Mathematical Society

The scientist has been recognized with several awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Association for the Advancement of Science (AAAS) (2012)
  • SIAM Fellow (2010) for advances in finite element and multigrid methods for the numerical solution of partial differential equations

Best Publications

  • The Mathematical Theory of Finite Element Methods

    Susanne C Brenner;L. Ridgway Scott

  • Poincaré-Friedrichs Inequalities for Piecewise H 1 Functions

    Susanne C. Brenner

  • Korn's inequalities for piecewise $H^1$ vector fields

    Susanne C. Brenner

  • C0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains

    Susanne C. Brenner;Li-Yeng Sung

  • Linear finite element methods for planar linear elasticity

    Susanne C. Brenner;Li-Yeng Sung

  • Virtual element methods on meshes with small edges or faces

    Susanne C. Brenner;Li-Yeng Sung

  • Some Estimates for Virtual Element Methods

    Susanne C. Brenner;Qingguang Guan;Li-Yeng Sung

  • Two-level additive Schwarz preconditioners for nonconforming finite element methods

    Susanne C. Brenner;Susanne C. Brenner

  • A nonconforming mixed multigrid method for the pure displacement problem in planar linear elasticity

    Susanne C. Brenner

  • {C}^0$ penalty methods for the fully nonlinear Monge-Ampère equation

    Susanne C Brenner;Thirupathi Gudi;Michael Neilan;Li-Yeng Sung

  • BDDC and FETI-DP without matrices or vectors

    Susanne C. Brenner;Li-Yeng Sung

  • An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem

    Susanne C. Brenner;Thirupathi Gudi;Li-yeng Sung

  • Convergence of nonconforming multigrid methods without full elliptic regularity

    Susanne C. Brenner

  • Finite Element Methods

    C. Carstensen;S. C. Brenner

  • An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements

    Susanne C. Brenner

  • Multigrid methods for parameter dependent problems

    Susanne C. Brenner

  • Multigrid methods for the computation of singular solutions and stress intensity factors I: corner singularities

    Susanne C. Brenner

  • An optimal-order nonconforming multigrid method for the Biharmonic equation

    S. C. Brenner

  • A multigrid algorithm for the lowest-order Raviart-Thomas mixed triangular finite element method

    Susanne C. Brenner

  • A WEAKLY OVER-PENALIZED SYMMETRIC INTERIOR PENALTY METHOD

    Susanne C. Brenner;Luke Owens;Li-Yeng Sung

Frequent Co-Authors

Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Peter Monk
Peter Monk University of Delaware
Daniel B. Szyld
Daniel B. Szyld Temple University
Olof B. Widlund
Olof B. Widlund Courant Institute of Mathematical Sciences
Harald Niederreiter
Harald Niederreiter Austrian Academy of Sciences
Lawrence F. Shampine
Lawrence F. Shampine Southern Methodist University
Igor E. Shparlinski
Igor E. Shparlinski University of New South Wales
Boris Vexler
Boris Vexler Technical University of Munich

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