Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations
Numerical Analysis
2021-11-23 v1 Numerical Analysis
Abstract
Mesh sensitivity of finite element solution for linear elliptic partial differential equations is analyzed. A bound for the change in the finite element solution is obtained in terms of the mesh deformation and its gradient. The bound shows how the finite element solution changes continuously with the mesh. The result holds in any dimension and for arbitrary unstructured simplicial meshes, general linear elliptic partial differential equations, and general finite element approximations.
Cite
@article{arxiv.2111.10935,
title = {Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations},
author = {Yinnian He and Weizhang Huang},
journal= {arXiv preprint arXiv:2111.10935},
year = {2021}
}
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13 pages