Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521945 | Journal of Computational Physics | 2008 | 40 Pages |
Abstract
A new piecewise-polynomial interface method (PIM) for discretizing elliptic problems with complex interfaces between high-contrast materials is derived, analyzed and tested. A Krylov-accelerated interface multigrid approach (IMG) solves the discretization efficiently. Stability and convergence are proved in one dimension, while an extensive array of numerical experiments with complex interfaces and large coefficient transitions demonstrate the accuracy, efficiency and robustness of the method in two dimensions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Tianbing Chen, John Strain,