High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces
| Autor: | Michael Medvinsky, Jason Albright, Yekaterina Epshteyn, Qing Xia |
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| Rok vydání: | 2017 |
| Předmět: |
Numerical Analysis
Work (thermodynamics) Partial differential equation Applied Mathematics Numerical analysis Mathematical analysis Parallel algorithm 010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics Computational Mathematics Boundary value problem 0101 mathematics High order Mathematics |
| Zdroj: | Applied Numerical Mathematics. 111:64-91 |
| ISSN: | 0168-9274 |
| DOI: | 10.1016/j.apnum.2016.08.017 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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