Goal-oriented error estimation for the automatic variationally stable FE method for convection-dominated diffusion problems

DOI10.1016/j.camwa.2020.10.019OpenAlexW3013459779MaRDI QIDQ2214461

Albert Romkes, Eirik Valseth

Publication date: 8 December 2020

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

Full work available at URL: https://arxiv.org/abs/2003.10904

zbMATH Keywords

convection-diffusion problems\textit{a posteriori} error estimationdiscontinuous Petrov-Galerkin methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

A priori error analysis of high-order LL* (FOSLL*) finite element methods, Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis, A painless multi-level automatic goal-oriented \(hp\)-adaptive coarsening strategy for elliptic and non-elliptic problems

Uses Software

• FEniCS
• Firedrake

Cites Work

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