Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations

DOI10.1090/MCOM/3927zbMATH Open1544.65167MaRDI QIDQ6562836

Yuan Chen, Yulong Xing

Publication date: 27 June 2024

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

zbMATH Keywords

unstructured meshesoptimal error estimatehigh-order PDEsultra-weak discontinuous Galerkin methodgeneralized numerical fluxes

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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Related Items (2)

Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems ⋮ Ultra-weak discontinuous Galerkin method with IMEX-BDF time marching for two dimensional convection-diffusion problems

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