106 citations · 565 across the 59 of their papers we have counts for
10 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…
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…
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…
A discontinuous Galerkin method for cohesive zone modelling
Peter Hansbo, Kent Salomonsson
We propose a discontinuous finite element method for small strain elasticity allowing for cohesive zone modeling. The method yields a seamless transition between the discontinuous…
A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff-Love buckling problem
Peter Hansbo, Mats G. Larson
Second order buckling theory involves a one-way coupled coupled problem where the stress tensor from a plane stress problem appears in an eigenvalue problem for the fourth order Ki…
A cut finite element method for coupled bulk-surface problems on time-dependent domains
Peter Hansbo, Mats G. Larson, Sara Zahedi
In this contribution we present a new computational method for coupled bulk-surface problems on time-dependent domains. The method is based on a space-time formulation using discon…