Well-posedness and finite element approximation of mixed dimensional partial differential equations

DOI10.1007/s10543-023-01001-wzbMath1530.65165arXiv2212.14387OpenAlexW4390412493MaRDI QIDQ6139250

Malin Mosquera, Axel Målqvist, Fredrik Hellman

Publication date: 18 January 2024

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.14387

zbMATH Keywords

finite element methodpreconditionera priori error analysissubspace decompositionmixed dimensional partial differential equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Preconditioners for iterative methods (65F08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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