Full gradient stabilized cut finite element methods for surface partial differential equations

DOI10.1016/j.cma.2016.06.033zbMath1439.65152arXiv1602.01512OpenAlexW2271116085MaRDI QIDQ2310316

Mats G. Larson, Erik Burman, André Massing, Sara Zahedi, Peter Hansbo

Publication date: 6 April 2020

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

Full work available at URL: https://arxiv.org/abs/1602.01512

zbMATH Keywords

stabilizationcondition numberLaplace-Beltrami operatora priori error estimatessurface PDEcut finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) PDEs on manifolds (35R01)

Related Items (15)

A Trace Finite Element Method for PDEs on Evolving Surfaces ⋮ Variational multiscale immersed boundary method for incompressible turbulent flows ⋮ A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs ⋮ Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem ⋮ Stabilized cut discontinuous Galerkin methods for advection-reaction problems on surfaces ⋮ A radial basis function approximation method for conservative Allen-Cahn equations on surfaces ⋮ Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces ⋮ Ambient residual penalty approximation of partial differential equations on embedded submanifolds ⋮ Cut finite elements for convection in fractured domains ⋮ A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems ⋮ A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces ⋮ Variationally derived interface stabilization for discrete multiphase flows and relation with the ghost-penalty method ⋮ Extrinsic Meshless Collocation Methods for PDEs on Manifolds ⋮ A stabilized cut finite element method for the Darcy problem on surfaces ⋮ A stabilized Nitsche cut finite element method for the Oseen problem

Uses Software

• CutFEM

Cites Work

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