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- W4313445155 abstract "We consider a mixed dimensional elliptic partial differential equation posed in a bulk domain with a large number of embedded interfaces. In particular, we study well-posedness of the problem and regularity of the solution. We also propose a fitted finite element approximation and prove an a priori error bound. For the solution of the arising linear system we propose and analyze an iterative method based on subspace decomposition. Finally, we present numerical experiments and achieve rapid convergence using the proposed preconditioner, confirming our theoretical findings." @default.
- W4313445155 created "2023-01-06" @default.
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- W4313445155 date "2022-12-29" @default.
- W4313445155 modified "2023-10-18" @default.
- W4313445155 title "Well-Posedness and Finite Element Approximation of Mixed Dimensional Partial Differential Equations" @default.
- W4313445155 doi "https://doi.org/10.48550/arxiv.2212.14387" @default.
- W4313445155 hasPublicationYear "2022" @default.
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