A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems

DOI10.1515/cmam-2017-0001zbMath1434.65252OpenAlexW2604616037MaRDI QIDQ2302890

Bernhard Endtmayer, Thomas Wick

Publication date: 26 February 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2017-0001

zbMATH Keywords

partition-of-unityadjoint to adjoint problemmulti-objective goal functionals

Mathematics Subject Classification ID

Newton-type methods (49M15) Brittle fracture (74R10) 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) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction, Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor, The dual-weighted residual estimator realized on polygonal meshes, A cost-efficient space-time adaptive algorithm for coupled flow and transport, Multigoal-oriented optimal control problems with nonlinear PDE constraints, Kriging-sparse polynomial dimensional decomposition surrogate model with adaptive refinement, Hierarchical DWR Error Estimates for the Navier-Stokes Equations: h and p Enrichment, Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow, A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations, 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, Multigoal-oriented error estimates for non-linear problems, A new goal-oriented formulation of the finite element method, Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers

Uses Software

• deal.ii

Cites Work

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