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Mesh sensitivity of finite element solution for linear elliptic partialdifferential equations is analyzed. A bound for the change in the finiteelement solution is obtained in terms of the mesh deformation and its gradient.The bound shows how the finite element solution changes continuously with themesh. The result holds in any dimension and for arbitrary unstructuredsimplicial meshes, general linear elliptic partial differential equations, andgeneral finite element approximations.

Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations