106 citations · 565 across the 59 of their papers we have counts for
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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…
A Stable Cut Finite Element Method for Partial Differential Equations on Surfaces: The Helmholtz-Beltrami Operator
Erik Burman, Peter Hansbo, Mats G. Larson +1
We consider solving the surface Helmholtz equation on a smooth two dimensional surface embedded into a three dimensional space meshed with tetrahedra. The mesh does not respect the…
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 Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +2
We develop a stabilized cut finite element method for the stationary convection diffusion problem on a surface embedded in . The cut finite element method is based…
A Cut Finite Element Method for Elliptic Bulk Problems with Embedded Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We propose an unfitted finite element method for flow in fractured porous media. The coupling across the fracture uses a Nitsche type mortaring, allowing for an accurate representa…
Modified midpoint integration rule for the trilinear element in large deformation elasticity
Mirza Cenanovic, Peter Hansbo, David Samvin
In this paper we suggest two modified one-point Gauss integration rules for the Q1 bi- or trilinear element. The modifications both stabilize the hourglass modes of the one-point r…
A cut finite element method with boundary value correction for the incompressible Stokes' equations
Erik Burman, Peter Hansbo, Mats G. Larson
We design a cut finite element method for the incompressible Stokes equations on curved domains. The cut finite element method allows for the domain boundary to cut through the ele…
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…