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07/11/2022
Cut finite element method for divergence free approximation of incompressible flow: optimal error estimates and pressure independence
In this note we design a cut finite element method for a low order diver...
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07/01/2022
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
In this paper we will review recent advances in the application of the a...
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05/24/2022
A divergence preserving cut finite element method for Darcy flow
We study cut finite element discretizations of a Darcy interface problem...
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05/13/2022
Extension Operators for Trimmed Spline Spaces
We develop a discrete extension operator for trimmed spline spaces consi...
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05/04/2022
A simple nonconforming tetrahedral element for the Stokes equations
In this paper we apply a nonconforming rotated bilinear tetrahedral elem...
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05/03/2022
On the Design of Locking Free Ghost Penalty Stabilization and the Relation to CutFEM with Discrete Extension
In this note, we develop a new stabilization mechanism for cut finite el...
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02/17/2022
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems
We use the augmented Lagrangian formalism to derive discontinuous Galerk...
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06/02/2021
Nitsche's Finite Element Method for Model Coupling in Elasticity
We develop a Nitsche finite element method for a model of Euler–Bernoull...
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01/29/2021
Error estimates for the Smagorinsky turbulence model: enhanced stability through scale separation and numerical stabilization
In the present work we show some results on the effect of the Smagorinsk...
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01/25/2021
CutFEM Based on Extended Finite Element Spaces
We develop a general framework for construction and analysis of discrete...
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11/10/2020
Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension
In this note we develop a fully explicit cut finite element method for t...
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07/06/2020
Low Regularity Estimates for CutFEM Approximations of an Elliptic Problem with Mixed Boundary Conditions
We show error estimates for a cut finite element approximation of a seco...
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06/02/2020
A cut finite element method for a model of pressure in fractured media
We develop a robust cut finite element method for a model of diffusion i...
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03/24/2020
Application of a minimal compatible element to incompressible and nearly incompressible continuum mechanics
In this note we will explore some applications of the recently construct...
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12/15/2019
Augmented Lagrangian Method for Thin Plates with Signorini Boundaries
We consider C^1-continuous approximations of the Kirchhoff plate problem...
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11/01/2019
Cut Bogner-Fox-Schmit Elements for Plates
We present and analyze a method for thin plates based on cut Bogner-Fox-...
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07/31/2019
Comparison of mechanical conditions in a lower leg model with 5 or 6 tissue types while exposed to prosthetic sockets applying finite element analysis
Lower limb amputees often suffer skin and tissue problems from using the...
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07/04/2018