Local pointwise convergence of the 3D finite element

DOI10.1007/s11766-023-3911-9zbMath1524.65836MaRDI QIDQ6109254

Qiding Zhu, Jinghong Liu

Publication date: 27 July 2023

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Green's functionfinite elementlocal convergence

Mathematics Subject Classification ID

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) Green's functions for elliptic equations (35J08)

Cites Work

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• Superconvergence and Reduced Integration in the Finite Element Method
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• Gradient superconvergence on uniform simplicial partitions of polytopes
• Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
• Pointwise supercloseness of tensor‐product block finite elements
• Maximum‐norm superapproximation of the gradient for the trilinear block finite element
• Ultraconvergence of Finite Element Method by Richardson Extrapolation for Elliptic Problems with Constant Coefficients

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