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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...
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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...
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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...
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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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05/13/2022
Extension Operators for Trimmed Spline Spaces
We develop a discrete extension operator for trimmed spline spaces consi...
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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...
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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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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 ...
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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 ...
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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...
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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...
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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...
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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 ...
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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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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...
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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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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 ...
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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...
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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 ...
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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...
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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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06/23/2020
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...
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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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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...
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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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12/18/2019
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...
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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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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...
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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...
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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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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...
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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...
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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...
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07/04/2018