106 citations · 948 across the 81 of their papers we have counts for
5 papers · 2 filters
A stabilized cut finite element method for partial differential equations on surfaces: The Laplace-Beltrami operator
Erik Burman, Peter Hansbo, Mats G. Larson
We consider solving the Laplace-Beltrami problem on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the s…
A Nitsche-based cut finite element method for a fluid--structure interaction problem
Andre Massing, Mats G. Larson, Anders Logg +1
We present a new composite mesh finite element method for fluid--structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh wh…
Locking Free Quadrilateral Continuous/Discontinuous Finite Element Methods for the Reissner-Mindlin Plate
Peter Hansbo, Mats G. Larson
We develop a finite element method with continuous displacements and discontinuous rotations for the Mindlin-Reissner plate model on quadrilateral elements. To avoid shear locking,…
Variational Formulation of Curved Beams in Global Coordinates
Peter Hansbo, Mats G. Larson, Karl Larsson
In this paper we derive a variational formulation for a linear curved beam which is natively expressed in global Cartesian coordinates. During derivation the beam midline is assume…
A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces
Karl Larsson, Mats G. Larson
We present a continuous/discontinuous Galerkin method for approximating solutions to a fourth order elliptic PDE on a surface embedded in . A priori error estimates,…