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Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 -- October 4, 2019

From MaRDI portal
Publication:2204998

DOI10.1007/978-3-030-55874-1zbMATH Open1471.65009arXiv2007.15498OpenAlexW3187075277WikidataQ117782848 ScholiaQ117782848MaRDI QIDQ2204998

Author name not available (Why is that?)

Publication date: 16 October 2020

Published in: (Search for Journal in Brave)

Abstract: We propose a least squares Galerkin based gradient recovery to approximate Dirichlet problems for strong solutions of linear elliptic problems in nondivergence form and corresponding apriori and aposteriori error bounds. This approach is used to tackle fully nonlinear elliptic problems, e.g., Monge-Amp`ere, Hamilton-Jacobi-Bellman, using the smooth (vanilla) and the semismooth Newton linearization. We discuss numerical results, including adaptive methods based on the aposteriori error indicators.


Full work available at URL: https://arxiv.org/abs/2007.15498




Mathematics Subject Classification ID

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