BEM-based finite element approaches on polytopal meshes / Steffen Weißer

• Autore: Weisser, Steffen
• Pubblicazione: Cham, : Springer, 2019
• Titolo uniforme: BEM-based Finite Element Approaches on Polytopal Meshes
• Descrizione fisica: 1 testo elettronico (xvii, 235 p. : ill.)
• Soggetto topico: 41-XX - Approximations and expansions [MSC 2020]; 65Dxx - Numerical approximation and computational geometry (primarily algorithms) [MSC 2020]; 65Nxx - Numerical methods for partial differential equations, boundary value problems [MSC 2020]
• Soggetto non controllato: Adaptive Mesh Refinement; Anisotropic Mesh; BEM-Based FEM; Boundary Element Methods; Convection-Dominated Problem; Dual-Weighted Residual Estimator; Mixed finite element method; Non-standard finite element method; Nyström method; Poincaré constant; Polygonal finite elements; Polygonal mesh; Polyhedral mesh; Quasi-interpolation; Residual based error estimate; Trefftz-like basis functions
• Sommario/riassunto: This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes [...]. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations [...]. (Estratto dal sito dell'editore)
• Titolo autorizzato: BEM-based Finite Element Approaches on Polytopal Meshes
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00126747
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: http://doi.org/10.1007/978-3-030-20961-2
• Serie: Lecture notes in computational science and engineering Berlin [etc.] . -Springer , 1997- ; 130