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- Umeå UniversitySE36 papers
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- Aalto UniversityFI1 paper
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9 papers · 1 filter
A Stabilized Finite Element Method for the Darcy Problem on Surfaces
Peter Hansbo, Mats G. Larson
We consider a stabilized finite element method for the Darcy problem on a surface based on the Masud-Hughes formulation. A special feature of the method is that the tangential cond…
Stabilized CutFEM for the Convection Problem on Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a stabilized cut finite element method for the convection problem on a surface based on continuous piecewise linear approximation and gradient jump stabilization terms.…
Cut finite element modeling of linear membranes
Mirza Cenanovic, Peter Hansbo, Mats G. Larson
We construct a cut finite element method for the membrane elasticity problem on an embedded mesh using tangential differential calculus. Both free membranes and membranes coupled t…
Finite Element Approximation of the Laplace-Beltrami Operator on a Surface with Boundary
E. Burman, P. Hansbo, M. G. Larson +2
We develop a finite element method for the Laplace-Beltrami operator on a surface with boundary and nonhomogeneous Dirichlet boundary conditions. The method is based on a triangula…
A Cut Discontinuous Galerkin Method for the Laplace-Beltrami Operator
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a discontinuous cut finite element method (CutFEM) for the Laplace-Beltrami operator on a hypersurface embedded in . The method is constructed by using a d…
A Cut Finite Element Method with Boundary Value Correction
Erik Burman, Peter Hansbo, Mats G. Larson
In this contribution we develop a cut finite element method with boundary value correction of the type originally proposed by Bramble, Dupont, and Thomee. The cut finite element me…