Multigoal-oriented error estimates for non-linear problems

DOI10.1515/jnma-2018-0038zbMath1435.65200arXiv1804.01331OpenAlexW2963614958MaRDI QIDQ2307646

Bernhard Endtmayer, Thomas Wick, Ulrich Langer

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1804.01331

zbMATH Keywords

finite elements\(p\)-Laplacedual-weighted residualbalancing iteration and discretization errorsmultiple goal-oriented a posteriori error estimation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) 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, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs ⋮ Numerical modeling and open-source implementation of variational partition-of-unity localizations of space-time dual-weighted residual estimators for parabolic problems ⋮ Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems ⋮ Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem ⋮ Hierarchical DWR Error Estimates for the Navier-Stokes Equations: h and p Enrichment ⋮ Two-Side a Posteriori Error Estimates for the Dual-Weighted Residual Method ⋮ Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering

Uses Software

• UMFPACK
• deal.ii

Cites Work

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