| Autor: |
Naila Sajid, Tahira Nasreen Buttar |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Springer Proceedings in Mathematics & Statistics ISBN: 9783319284415 |
| DOI: |
10.1007/978-3-319-28443-9_24 |
| Popis: |
Domain Decomposition Methods present a strong and general class of techniques for the approximate solution of partial differential equations. A non-overlapping Domain Decomposition Method for the solution of Elliptic Partial Differential Equation is formulated. This DDM involves to find solution of Dirichlet and Neumann problem on each sub-domain, along with smoothing operation on the interfaces of the sub-domains. Analysis of this iterative non-overlapping scheme is made for an elliptic problem. At odd iteration levels, we enforce Dirichlet boundary value among sub-domain problems at their interfaces, whereas at even iterative levels are imposed Neumann boundary values. Fourier analysis is applied to show the fast convergence rate of this DDM in case of constant coefficient and four rectangular sub-domains. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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