QUADRATURE BASED FINITE ELEMENT METHODS FOR LINEAR PARABOLIC INTERFACE PROBLEMS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 51, Issue 3, 2014, pp.717-737
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2014.51.3.717

Title & Authors

QUADRATURE BASED FINITE ELEMENT METHODS FOR LINEAR PARABOLIC INTERFACE PROBLEMS

Deka, Bhupen; Deka, Ram Charan;

Deka, Bhupen; Deka, Ram Charan;

Abstract

We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise linear finite element methods for parabolic interface problems. Optimal and error estimates are shown to hold for semidiscrete problem under suitable regularity of the true solution in whole domain. Further, fully discrete scheme based on backward Euler method has also analyzed and optimal norm error estimate is established. The error estimates are obtained for fitted finite element discretization based on straight interface triangles.

Keywords

parabolic equation;interface;finite element method;optimal error estimates;quadrature;

Language

English

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