Penalization of Robin boundary conditions

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.

Bouchra Bensiali, Guillaume Chiavassa, Jacques Liandrat. Penalization of Robin boundary conditions. Applied Numerical Mathematics, 2015, 96, pp.134-152. ⟨hal-01266091⟩

Journal: Applied Numerical Mathematics

Date de publication: 01-01-2015

Auteurs:
  • Bouchra Bensiali
  • Guillaume Chiavassa
  • Jacques Liandrat


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