b'Erik Burman'

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Featured Co-authors

Mats G. Larson
22 publications
Peter Hansbo
18 publications
Johnny Guzmàn
18 publications
Silvia Bertoluzza
12 publications
Timo Betcke
11 publications
Stefan Frei
10 publications
Cuiyu He
9 publications
André Massing
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Naveed Ahmed
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Christian Merdon
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Sara Zahedi
6 publications

research

∙ 07/11/2023

Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs

In this paper, we provide a theoretical analysis of the recently introdu...

0 Silvia Bertoluzza, et al. ∙

research

∙ 05/11/2023

Finite element approximation of unique continuation of functions with finite dimensional trace

We consider a unique continuation problem where the Dirichlet trace of t...

0 Erik Burman, et al. ∙

research

∙ 04/20/2023

A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method

We revisit the celebrated Kohn-Vogelius penalty method and discuss how t...

0 Erik Burman, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 05/13/2022

Extension Operators for Trimmed Spline Spaces

We develop a discrete extension operator for trimmed spline spaces consi...

0 Erik Burman, et al. ∙

research

∙ 05/12/2022

Continuous Interior Penalty stabilization for divergence-free finite element methods

In this paper we propose, analyze, and test numerically a pressure-robus...

0 Gabriel R. Barrenechea, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 10/15/2021

Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems

We present a loosely coupled, non-iterative time-splitting scheme based ...

0 Erik Burman, et al. ∙

research

∙ 09/16/2021

Spacetime finite element methods for control problems subject to the wave equation

We consider the null controllability problem for the wave equation, and ...

0 Erik Burman, et al. ∙

research

∙ 06/03/2021

Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection

In this paper we discuss a hybridised method for FEM-BEM coupling. The c...

0 Timo Betcke, et al. ∙

research

∙ 04/14/2021

Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps

In this paper we consider the semi-discretization in space of a first or...

0 Erik Burman, et al. ∙

research

∙ 04/03/2021

Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow

We propose two different discrete formulations for the weak imposition o...

0 Erik Burman, et al. ∙

research

∙ 03/20/2021

A mechanically consistent model for fluid-structure interactions with contact including seepage

We present a new approach for the mechanically consistent modelling and ...

0 Erik Burman, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 01/25/2021

CutFEM Based on Extended Finite Element Spaces

We develop a general framework for construction and analysis of discrete...

0 Erik Burman, et al. ∙

research

∙ 12/10/2020

Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty

We consider a finite element method with symmetric stabilisation for the...

0 Erik Burman, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 08/21/2020

Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem

In this paper we discuss a level set approach for the identification of ...

0 Erik Burman, et al. ∙

research

∙ 08/18/2020

An a posteriori error estimate of the outer normal derivative using dual weights

We derive a residual based a-posteriori error estimate for the outer nor...

0 Silvia Bertoluzza, et al. ∙

research

∙ 07/08/2020

A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation

Discretization of Navier-Stokes' equations using pressure-robust finite ...

0 Naveed Ahmed, et al. ∙

research

∙ 07/08/2020

Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis

We consider a fully discrete loosely coupled scheme for incompressible f...

0 Erik Burman, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 06/23/2020

A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime

We consider the numerical approximation of the ill-posed data assimilati...

0 Erik Burman, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 04/28/2020

Boundary element methods for Helmholtz problems with weakly imposed boundary conditions

We consider boundary element methods where the Calderón projector is use...

0 Timo Betcke, et al. ∙

research

∙ 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...

0 Erik Burman, et al. ∙

research

∙ 12/18/2019

3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact

In this note we introduce a mixed dimensional Stokes-Darcy coupling wher...

0 Erik Burman, et al. ∙

research

∙ 12/15/2019

Augmented Lagrangian Method for Thin Plates with Signorini Boundaries

We consider C^1-continuous approximations of the Kirchhoff plate problem...

0 Erik Burman, et al. ∙

research

∙ 12/02/2019

Space time stabilized finite element methods for a unique continuation problem subject to the wave equation

We consider a stabilized finite element method based on a spacetime form...

0 Erik Burman, et al. ∙

research

∙ 11/15/2019

Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem

We analyze a splitting method for a canonical fluid structure interactio...

0 Erik Burman, et al. ∙

research

∙ 11/01/2019

Cut Bogner-Fox-Schmit Elements for Plates

We present and analyze a method for thin plates based on cut Bogner-Fox-...

0 Erik Burman, et al. ∙

research

∙ 10/07/2019

Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains

This article is concerned with the discretisation of the Stokes equation...

0 Erik Burman, et al. ∙

research

∙ 08/15/2019

Weak imposition of Signorini boundary conditions on the boundary element method

We derive and analyse a boundary element formulation for boundary condit...

0 Erik Burman, et al. ∙

research

∙ 07/12/2019

L^2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow

In this note an error estimate in the $L^2$-norm of order $O(h^{k+\frac1...

0 Gabriel Barrenechea, et al. ∙

research

∙ 07/04/2018

A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces

We develop a stabilized cut finite element method for the stationary con...

0 Erik Burman, et al. ∙

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