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20112026
most citedShape Optimization Using the Cut Finite Element Method

106 citations

Showing 2017 · math.NAShow all

8 papers · 2 filters

math.NA2017

A Simple Finite Element Method for Elliptic Bulk Problems with Embedded Surfaces

Erik Burman, Peter Hansbo, Mats G. Larson

In this paper we develop a simple finite element method for simulation of embedded layers of high permeability in a matrix of lower permeability using a basic model of Darcy flow i…

math.NA2017★ 1 cited

A simple approach for finite element simulation of reinforced plates

Erik Burman, Peter Hansbo, Mats G. Larson

We present a new approach for adding Bernoulli beam reinforcements to Kirchhoff plates. The plate is discretised using a continuous/discontinuous finite element method based on sta…

math.NA2017★ 9 cited

A Nitsche Method for Elliptic Problems on Composite Surfaces

Peter Hansbo, Tobias Jonsson, Mats G. Larson +1

We develop a finite element method for elliptic partial differential equations on so called composite surfaces that are built up out of a finite number of surfaces with boundaries…

math.NA2017

TraceFEM for the membrane problem using distance functions on and tetrahedra

Mirza Cenanovic

We consider Trace finite element methods for the linear membrane problem on second order tetrahedral elements. To accomplish this, zero-level set reconstruction methods for second…

math.NA2017★ 23 cited

Cut Finite Element Methods for Linear Elasticity Problems

Peter Hansbo, Mats G. Larson, Karl Larsson

We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides c…

math.NA2017★ 1 cited

Deriving robust unfitted finite element methods from augmented Lagrangian formulations

Erik Burman, Peter Hansbo

In this paper we will discuss different coupling methods {suitable for use in} the framework of the recently introduced CutFEM paradigm, cf. Burman, Erik; Claus, Susanne; Hansbo, P…