7 papers
Adaptive multilevel subset simulation with selective refinement
Daniel Elfverson, Robert Scheichl, Simon Weissmann +1
In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested fail…
Hybridized CutFEM for Elliptic Interface Problems
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We design and analyze a hybridized cut finite element method for elliptic interface problems. In this method very general meshes can be coupled over internal unfitted interfaces, t…
Cut Topology Optimization for Linear Elasticity with Coupling to Parametric Nondesign Domain Regions
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut fin…
A New Least Squares Stabilized Nitsche Method for Cut Isogeometric Analysis
Daniel Elfverson, Mats G. Larson, Karl Larsson
We derive a new stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions for elliptic problems of second order in cut isogeometric analysis (CutIGA). We…
CutIGA with Basis Function Removal
Daniel Elfverson, Mats G. Larson, Karl Larsson
We consider a cut isogeometric method, where the boundary of the domain is allowed to cut through the background mesh in an arbitrary fashion for a second order elliptic model prob…
Shape Optimization Using the Cut Finite Element Method
Erik Burman, Daniel Elfverson, Peter Hansbo +2
We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the doma…