A Continuous Interior Penalty Method for Viscoelastic Flows

DOI10.1137/060677033zbMath1162.76026OpenAlexW2003387754MaRDI QIDQ3630365

Erik Burman, Andrea Bonito

Publication date: 28 May 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/df6518d25df528e074dde13adc7e2dd9d5ef706d

zbMATH Keywords

Oldroyd-B fluidoptimal a priori error estimatesstabilized finite elementnonlinear artificial viscosity

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Viscoelastic fluids (76A10) 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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems ⋮ A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems ⋮ Stabilized finite element method for the viscoelastic Oldroyd fluid flows ⋮ Finite element simulation of fluid dynamics and CO\(_2\) gas exchange in the alveolar sacs of the human lung ⋮ Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows ⋮ Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations ⋮ A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations ⋮ On error estimates of the fully discrete penalty method for the viscoelastic flow problem ⋮ A Stabilized Cut Finite Element Method for the Three Field Stokes Problem

This page was built for publication: A Continuous Interior Penalty Method for Viscoelastic Flows