Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems.

DOI10.21136/AM.2017.0173-17zbMath1458.65139MaRDI QIDQ1745988

Vít Dolejší, Filip Roskovec

Publication date: 18 April 2018

Published in: Applications of Mathematics (Search for Journal in Brave)

zbMATH Keywords

a posteriori error estimatediscontinuous Galerkinquantity of interestalgebraic error

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

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Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations ⋮ A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems ⋮ Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm ⋮ On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates ⋮ A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems ⋮ Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers

Uses Software

• ANGENER

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