Treatment of incompatible initial and boundary data for parabolic equations in higher dimension

Abstract

A new method is proposed to improve the numerical simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one, this method can be used for any space dimension. When both methods are applicable (in space dimension one), the improvements in precision are comparable, but the method proposed here is not restricted by dimension.

DOI: 10.1090/S0025-5718-2011-02469-5

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Cite this paper

@article{Chen2011TreatmentOI, title={Treatment of incompatible initial and boundary data for parabolic equations in higher dimension}, author={Qingshan Chen and Zhen Qin and Roger Temam}, journal={Math. Comput.}, year={2011}, volume={80}, pages={2071-2096} }