Recovering Mesh Geometry from a Stiffness Matrix

Abstract

We introduce the following class of mesh recovery problems: Given a stiffness matrix A and a PDE, construct a mesh M such that the finite-element formulation of the PDE over M is A. We show, under certain assumptions, that it is possible to reconstruct the original mesh for the special case of the Laplace operator discretized on an unstructured mesh of… (More)
DOI: 10.1023/A:1020182605597

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