106 citations · 948 across the 81 of their papers we have counts for
8 papers · 1 filter
Hybridized Isogeometric Method for Elliptic Problems on CAD Surfaces with Gaps
Tobias Jonsson, Mats G. Larson, Karl Larsson
We develop a method for solving elliptic partial differential equations on surfaces described by CAD patches that may have gaps/overlaps. The method is based on hybridization using…
Stability and conditioning of immersed finite element methods: analysis and remedies
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen +2
This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and the treatment of the adverse ef…
Cut finite element method for divergence free approximation of incompressible flow: a Lagrange multiplier approach
Erik Burman, Peter Hansbo, Mats G. Larson
In this note we design a cut finite element method for a low order divergence free element applied to a boundary value problem subject to Stokes' equations. For the imposition of D…
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
Erik Burman, Peter Hansbo, Mats G. Larson
In this paper we will review recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier--free stabilised methods…
Extension Operators for Trimmed Spline Spaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree with continuous derivatives. The construction is b…
A simple nonconforming tetrahedral element for the Stokes equations
Peter Hansbo, Mats G. Larson
In this paper we apply a nonconforming rotated bilinear tetrahedral element to the Stokes problem in . We show that the element is stable in combination with a piecew…
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension
Erik Burman, Peter Hansbo, Mats G. Larson
In this note, we develop a new stabilization mechanism for cut finite element methods that generalizes previous approaches of ghost penalty type in two ways: (1) The quantity that…
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems
Peter Hansbo, Mats G. Larson
We use the augmented Lagrangian formalism to derive discontinuous Galerkin formulations for problems in nonlinear elasticity. In elasticity stress is typically a symmetric function…