Nonstandard Finite Element Methods

  • Daniele Boffi

    King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia
  • Carsten Carstensen

    Humboldt-Universität zu Berlin, Germany
  • Alexandre Ern

    CERMICS - ENPC, Marne-La-Vallée, France
  • Jun Hu

    Peking University, Beijing, China
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Abstract

Finite element methodologies dominate the computational approaches for the solution to partial differential equations and nonstandard finite element schemes most urgently require mathematical insight in their design. The hybrid workshop vividly enlightened and discussed innovative nonconforming and polyhedral methods, discrete complex-based finite element methods for tensor-problems, fast solvers and adaptivity, as well as applications to challenging ill-posed and nonlinear problems.

Cite this article

Daniele Boffi, Carsten Carstensen, Alexandre Ern, Jun Hu, Nonstandard Finite Element Methods. Oberwolfach Rep. 18 (2021), no. 1, pp. 87–148

DOI 10.4171/OWR/2021/3