Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods
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Publication:5232301
DOI10.1137/18M1181754zbMath1422.65391arXiv1711.01996WikidataQ127519405 ScholiaQ127519405MaRDI QIDQ5232301
Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz
Publication date: 2 September 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.01996
dualityadaptivitya posteriori error analysisgoal-oriented adaptivityDPG methodsultraweak formulations
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (12)
A priori error analysis of high-order LL* (FOSLL*) finite element methods ⋮ Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs ⋮ Error representation of the time-marching DPG scheme ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ A continuous \textit{hp}-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions ⋮ The DPG-star method ⋮ Adaptive stabilized finite elements via residual minimization onto bubble enrichments ⋮ Isogeometric analysis and augmented Lagrangian Galerkin least squares methods for residual minimization in dual norm ⋮ Goal-oriented error estimation for the automatic variationally stable FE method for convection-dominated diffusion problems ⋮ Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm ⋮ Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method ⋮ An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model
Uses Software
Cites Work
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