106 citations · 948 across the 81 of their papers we have counts for
12 papers · 2 filters
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…
A Nitsche-type Method for Helmholtz Equation with an Embedded Acoustically Permeable Interface
Esubalewe Lakie Yedeg, Eddie Wadbro, Peter Hansbo +2
We propose a new finite element method for Helmholtz equation in the situation where an acoustically permeable interface is embedded in the computational domain. A variant of Nitsc…
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…
Multiscale methods for problems with complex geometry
Daniel Elfverson, Mats G. Larson, Axel Målqvist
We propose a multiscale method for elliptic problems on complex domains, e.g. domains with cracks or complicated boundary. For local singularities this paper also offers a discrete…