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Finite element approximation of the Laplace–Beltrami operator on a surface with boundary

We develop a finite element method for the Laplace–Beltrami operator on a surface with boundary and nonhomogeneous Dirichlet boundary conditions. The method is based on a triangulation of the surface and the boundary conditions are enforced weakly using Nitsche’s method. We prove optimal order a pri...

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Detalles Bibliográficos
Autores principales: Burman, Erik, Hansbo, Peter, Larson, Mats G., Larsson, Karl, Massing, André
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6400403/
https://www.ncbi.nlm.nih.gov/pubmed/30906074
http://dx.doi.org/10.1007/s00211-018-0990-2