| Autor: |
Wietse M. Boon, Dennis Gläser, Rainer Helmig, Ivan Yotov |
| Rok vydání: |
2022 |
| Předmět: |
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| DOI: |
10.48550/arxiv.2211.16897 |
| Popis: |
The flux-mortar mixed finite element method was recently developed for a general class of domain decomposition saddle point problems on non-matching grids. In this work we develop the method for Darcy flow using the multipoint flux approximation as the subdomain discretization. The subdomain problems involve solving positive definite cell-centered pressure systems. The normal flux on the subdomain interfaces is the mortar coupling variable, which plays the role of a Lagrange multiplier to impose weakly continuity of pressure. We present well-posedness and error analysis based on reformulating the method as a mixed finite element method with a quadrature rule. We develop a non-overlapping domain decomposition algorithm for the solution of the resulting algebraic system that reduces it to an interface problem for the flux-mortar, as well as an efficient interface preconditioner. A series of numerical experiments is presented illustrating the performance of the method on general grids, including applications to flow in complex porous media. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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