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Penalization of Robin boundary conditions

Abstract : This paper is devoted to the mathematical analysis of a method based on fictitious domain approach. Boundary conditions of Robin type (also known as Fourier boundary conditions) are enforced using a penalization method. A complete description of the method and a full analysis are provided for univariate elliptic and parabolic problems using finite difference approximation. Numerical evidence of the predicted estimations is provided as well as numerical results for a nonlinear problem and a first extension of the method in the bivariate situation is proposed.
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Submitted on : Tuesday, February 2, 2016 - 10:19:56 AM
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  • HAL Id : hal-01266091, version 1


Bouchra Bensiali, Guillaume Chiavassa, Jacques Liandrat. Penalization of Robin boundary conditions. Applied Numerical Mathematics, Elsevier, 2015, pp.134-152. ⟨hal-01266091⟩



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