Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644806 | Applied Numerical Mathematics | 2017 | 28 Pages |
Abstract
Numerical approximations and computational modeling of problems from Biology and Materials Science often deal with partial differential equations with varying coefficients and domains with irregular geometry. The challenge here is to design an efficient and accurate numerical method that can resolve properties of solutions in different domains/subdomains, while handling the arbitrary geometries of the domains. In this work, we consider 2D elliptic models with material interfaces and develop efficient high-order accurate methods based on Difference Potentials for such problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Jason Albright, Yekaterina Epshteyn, Michael Medvinsky, Qing Xia,