An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives

DOI10.1090/mcom/3562zbMath1446.65118arXiv2003.05798OpenAlexW3030132392WikidataQ114094318 ScholiaQ114094318MaRDI QIDQ5118852

Yan Xu, Chi-Wang Shu, Qi Tao

Publication date: 27 August 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05798

zbMATH Keywords

error estimatediscontinuous Galerkin (DG) methodhigh-order equationdiscrete Sobolev and Poincaré inequalities

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for nonlinear higher-order PDEs (35G25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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