Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations

DOI10.1007/s10444-023-10100-9OpenAlexW4390113052MaRDI QIDQ6184993

Shangyou Zhang, Xiu Ye

Publication date: 29 January 2024

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-023-10100-9

zbMATH Keywords

finite elementtriangular meshtetrahedral meshsecond order elliptic equationconforming discontinuous Galerkin method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

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• Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method
• A stabilizer free weak Galerkin finite element method with supercloseness of order two

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