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43 papers · 1 filter
Extension Operators for Trimmed Spline Spaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree with continuous derivatives. The construction is b…
A simple nonconforming tetrahedral element for the Stokes equations
Peter Hansbo, Mats G. Larson
In this paper we apply a nonconforming rotated bilinear tetrahedral element to the Stokes problem in . We show that the element is stable in combination with a piecew…
Nitsche's Finite Element Method for Model Coupling in Elasticity
Peter Hansbo, Mats G. Larson
We develop a Nitsche finite element method for a model of Euler--Bernoulli beams with axial stiffness embedded in a two--dimensional elastic bulk domain. The beams have their own d…
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization
Erik Burman, Peter Hansbo, Mats G. Larson
In the present work we show some results on the effect of the Smagorinsky model on the stability of the associated perturbation equation. We show that in the presence of a spectral…
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
Erik Burman, Snorre Christiansen, Peter Hansbo
In this note we will explore some applications of the recently constructed piecewise affine, -conforming element that fits in a discrete de Rham complex [Christiansen and Hu,…
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…