A non-overlap domain decomposition method for the forward-backward heat equation

Authors:
Houde Han;Dongsheng Yin
Affiliations:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Venue:
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002
Year:
2003

Citing 3
Cited 3

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A weighted least squares method for the backward-forward heat equation

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Discontinuous Galerkin finite element methods for a forward-backward heat equation

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Overlapping Schwarz waveform relaxation method for the solution of the forward-backward heat equation

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Two stable methods with numerical experiments for solving the backward heat equation

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A backward parabolic equation with a time-dependent coefficient: Regularization and error estimates

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Abstract

A non-overlap domain decomposition method is presented for the numerical solution of the forward-backward heat equation. The convergence of the given method is established. The numerical experiments show that the given domain decomposition method is very effective.