JournalsowrVol. 18, No. 2pp. 1651–1674

Numerical Methods for Fully Nonlinear and Related PDEs

  • Sören Bartels

    Universität Freiburg, Freiburg im Breisgau, Germany

  • Susanne C. Brenner

    Louisiana State University, Baton Rouge, USA

  • Xiaobing Feng

    University of Tennessee, Knoxville, USA

  • Michael J. Neilan

    University of Pittsburgh, USA
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Abstract

The aim of this workshop was to discuss the challenges, latest trends and advancements on numerical methods for fully nonlinear PDEs. The construction of numerical schemes and their convergence analysis is still an emerging field in computational mathematics with several fundamental open problems. Nonetheless, significant breakthroughs have recently appeared, including the design of accurate finite element schemes for nonvariational problems, a priori error estimates for monotone schemes, and the construction of high-order and adaptive methods.

Cite this article

Sören Bartels, Susanne C. Brenner, Xiaobing Feng, Michael J. Neilan, Numerical Methods for Fully Nonlinear and Related PDEs. Oberwolfach Rep. 18 (2021), no. 2, pp. 1651–1674

DOI 10.4171/OWR/2021/31