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Journal of Scientific Computing

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17-03-2017

A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast

Authors: Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis

Published in: Journal of Scientific Computing | Issue 1/2017

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Abstract

We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove optimal error estimates in the \(L^2\) norm and \(H^1\) weighted semi-norm independent of the contrast between the coefficients. Numerical experiments validating our theoretical findings are provided.

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Title: A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast
Authors: Johnny Guzmán
Manuel A. Sánchez
Marcus Sarkis
Publication date: 17-03-2017
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2017
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0415-x

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