activity
20132026
most citedShape Optimization Using the Cut Finite Element Method

106 citations · 495 across the 26 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

math.NA2018★ 9 cited

Graded Parametric CutFEM and CutIGA for Elliptic Boundary Value Problems in Domains with Corners

Tobias Jonsson, Mats G. Larson, Karl Larsson

We develop a parametric cut finite element method for elliptic boundary value problems with corner singularities where we have weighted control of higher order derivatives of the s…

math.NA2018

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…

math.NA2018★ 16 cited

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…

math.NA2018★ 37 cited

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…

math.NA2018★ 47 cited

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…

math.NA2018★ 24 cited

Cut Finite Elements for Convection in Fractured Domains

Erik Burman, Peter Hansbo, Mats G. Larson +1

We develop a cut finite element method (CutFEM) for the convection problem in a so called fractured domain which is a union of manifolds of different dimensions such that a dim…