Arbitrary order Trefftz-like basis functions on polygonal meshes and realization in BEM-based FEM

DOI10.1016/j.camwa.2014.01.019zbMath1350.65131OpenAlexW2030622214MaRDI QIDQ316649

Steffen Weißer

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.01.019

zbMATH Keywords

numerical examplesboundary element methodelliptic equationsconvergence estimateshanging nodesnon-standard finite element methodpolygonal finite elementspolygonal meshTrefftz-like basis functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

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