Numerical Solution of a Reaction-Diffusion Elliptic Interface Problem with Strong Anisotropy |
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| Authors: | I Braianov L Vulkov |
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| Affiliation: | (1) University of Rousse, Studentska str. 8, 7017 Rousse, Bulgaria;(2) University of Rousse, Studentska str. 8, 7017 Rousse, Bulgaria |
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| Abstract: | We consider a singularly perturbed reaction-diffusion elliptic problem in two dimensions (x,y), with strongly anisotropic coefficients and line interface. The second order derivative with respect to x is multiplied by a small parameter  2. We construct finite volume difference schemes on condensed Shihskin meshes and prove -uniform convergence in discrete energy and maximum norms. Numerical experiments that agree with the theoretical results are given. |
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| Keywords: | Singular perturbation reaction diffusion elliptic interface problems finite volume method Shishkin mesh |
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