A Posteriori Optimization of Parameters in the SUPG Method for Higher Degree FE Spaces

DOI10.1007/978-3-319-25727-3_13zbMath1427.65373OpenAlexW2478783963MaRDI QIDQ5207417

Petr Lukáš

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25727-3_13

zbMATH Keywords

adaptive methodfinite element spacediscrete solutionerror indicatorminimization procedure

Mathematics Subject Classification ID

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)

Adaptive techniques in SOLD methods ⋮ A posteriori optimization of parameters in stabilized methods for convection-diffusion problems. II ⋮ Importance of parameter optimization in a nonlinear stabilized method adding a crosswind diffusion ⋮ On error indicators for optimizing parameters in stabilized methods

Uses Software

• FEniCS

Cites Work

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• A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I
• Automated solution of differential equations by the finite element method. The FEniCS book
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• An introduction to the adjoint approach to design

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