An immersed interface method for anisotropic elliptic problems on irregular domains in 2D | Zendy

Dumett Miguel A. | Zendy; Keener James P. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

An immersed interface method for anisotropic elliptic problems on irregular domains in 2D

Author(s) -

Dumett Miguel A.,

Keener James P.

Publication year - 2005

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20051

Subject(s) - mathematics , discretization , laplace operator , grid , anisotropy , diagonal , generalization , mathematical analysis , linear subspace , geometry , physics , quantum mechanics

This work is a generalization of the immersed interface method for discretization of a nondiagonal anisotropic Laplacian in 2D. This first‐order discretization scheme enforces weakly diagonal dominance of the numerical scheme whenever possible. A necessary and sufficient condition depending on the mesh size h for the existence of this scheme at an interior grid point is found in terms of the anisotropy matrix. A linear programming approach is introduced for finding the weights of the schemes. The method is tested with a parametrized family of anisotropic Poisson equations. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research