Pointwise supercloseness of the displacement for tensor-product quadratic pentahedral finite elements
DOI10.1016/j.aml.2011.12.024zbMath1253.65177OpenAlexW1969524610MaRDI QIDQ452960
Publication date: 18 September 2012
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.12.024
error estimatePoisson equationdisplacementdiscrete Green's functionpointwise superclosenesstensor-product quadratic pentahedral finite elements
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)
Related Items (2)
Cites Work
- An estimate for the three-dimensional discrete Green's function and applications
- Pointwise supercloseness of pentahedral finite elements
- Nodal O(h<sup>4</sup>)-Superconvergence in 3D by Averaging Piecewise Linear, Bilinear, and Trilinear FE Approximation
- Natural Superconvergence Points in Three-Dimensional Finite Elements
- Superconvergence and Reduced Integration in the Finite Element Method
- Pointwise superconvergence of the gradient for the linear tetrahedral element
- 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
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