MORTAR SPECTRAL ELEMENT METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

CHRISTINE Bernardi; NEJMEDDINE Chorfi

doi:10.1142/S0218202502001763

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MORTAR SPECTRAL ELEMENT METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

Journal article

Peer reviewed

MORTAR SPECTRAL ELEMENT METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

CHRISTINE Bernardi and NEJMEDDINE Chorfi

Mathematical models & methods in applied sciences, Vol.12(4), pp.497-524

04/2002

DOI: https://doi.org/10.1142/S0218202502001763

Abstract

discontinuous coefficients

Mortar spectral elements

We consider a second-order elliptic equation with piecewise continuous coefficients in a bounded two-dimensional domain. We propose a spectral element discretization of this problem which relies on the mortar domain decomposition technique. We prove optimal error estimates. Next, we compare several versions, conforming or not, of this discretization by means of numerical experiments.

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Title: MORTAR SPECTRAL ELEMENT METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
Creators - without role: CHRISTINE Bernardi - Sorbonne Université
NEJMEDDINE Chorfi - Tunis University
Publication Details: Mathematical models & methods in applied sciences, Vol.12(4), pp.497-524
Publisher: World Scientific Publishing Company
Identifiers: 9952303808331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article