On error indicators for optimizing parameters in stabilized methods

DOI10.1007/S10444-019-09662-4zbMath1426.65178OpenAlexW2912694994MaRDI QIDQ2326755

Pavel Šolín, Petr Lukáš, Knobloch, Petr

Publication date: 10 October 2019

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-019-09662-4

zbMATH Keywords

convection-dominated problemsspurious oscillations

Mathematics Subject Classification ID

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)

Related Items (4)

A posteriori optimization of parameters in stabilized methods for convection-diffusion problems. II ⋮ Artificial neural network-augmented stabilized finite element method ⋮ On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion equations ⋮ Importance of parameter optimization in a nonlinear stabilized method adding a crosswind diffusion

Uses Software

• FEniCS

Cites Work

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• A Posteriori Optimization of Parameters in the SUPG Method for Higher Degree FE Spaces
• An introduction to the adjoint approach to design

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