A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes

DOI10.1016/j.apnum.2022.03.017zbMath1493.65237OpenAlexW4220933085MaRDI QIDQ2143081

Shangyou Zhang, Xiu Ye

Publication date: 30 May 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.03.017

zbMATH Keywords

finite elementbiharmonic equationtriangular meshweak Laplaciantetrahedral meshweak divergence

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (2)

BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations ⋮ Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations

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