Optimal error estimate of discontinuous Galerkin methods for advection-diffusion-reaction problems with low regularity

DOI10.1016/j.camwa.2022.11.005MaRDI QIDQ6161574

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Publication date: 5 June 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

finite element methodsdiscontinuous Galerkin methodsa priori error estimate

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)

Cites Work

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• Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
• A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
• On the poisson equation with intersecting interfaces
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• On Local Approximation Properties of L₂-Projection on Spline-Subspaces†
• Large-Scale Scientific Computing

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