Local projection stabilization for convection-diffusion-reaction equations on surfaces

DOI10.1016/J.CMA.2018.09.031zbMath1440.65232OpenAlexW2765198006WikidataQ129100851 ScholiaQ129100851MaRDI QIDQ1986680

K. Simon, Tobiska, Lutz

Publication date: 9 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.09.031

zbMATH Keywords

finite elementslocal projection stabilizationsurface PDEconvection-diffusion-reaction equation

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 layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces ⋮ Stabilized cut discontinuous Galerkin methods for advection-reaction problems on surfaces ⋮ Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces ⋮ A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems

Uses Software

• CutFEM

Cites Work

• Unnamed Item
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• A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• On the stability of finite-element discretizations of convection-diffusion-reaction equations
• Numerical Methods for Two-phase Incompressible Flows
• A trace finite element method for a class of coupled bulk-interface transport problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
• A stabilized finite element method for advection-diffusion equations on surfaces
• Finite element methods for surface PDEs
• An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces

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