1 citations · 1 across the 2 of their papers we have counts for
5 papers
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem
Erik Burman, Cuiyu He, Mats G. Larson
In this paper we discuss a level set approach for the identification of an unknown boundary in a computational domain. The problem takes the form of a Bernoulli problem where only…
Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions
Erik Burman, Peter Hansbo, Mats G. Larson
We show error estimates for a cut finite element approximation of a second order elliptic problem with mixed boundary conditions. The error estimates are of low regularity type whe…
A cut finite element method for a model of pressure in fractured media
Erik Burman, Peter Hansbo, Mats G. Larson
We develop a robust cut finite element method for a model of diffusion in fractured media consisting of a bulk domain with embedded cracks. The crack has its own pressure field and…
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries
Erik Burman, Peter Hansbo, Mats G. Larson
We consider -continuous approximations of the Kirchhoff plate problem in combination with a mesh dependent augmented Lagrangian method on a simply supported Signorini boundary…
Cut Bogner-Fox-Schmit Elements for Plates
Erik Burman, Mats G. Larson, Peter Hansbo
We present and analyze a method for thin plates based on cut Bogner-Fox-Schmit elements, which are elements obtained by taking tensor products of Hermite splines. The formula…