Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms

DOI10.1016/j.camwa.2020.09.018OpenAlexW3096740682MaRDI QIDQ2034900

Jaime Mora, Constantin Bacuta, Christos Xenophontos, Leszek F. Demkowicz

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.09.018

zbMATH Keywords

finite elementsdiscontinuous Petrov-Galerkinpolyhedral elementsultraweaknon-conformingfractional norms

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) 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)

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