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04/09/2023
Domain of Dependence stabilization for the acoustic wave equation on 2D cut-cell meshes
Cut-cell meshes are an attractive alternative to avoid common mesh gener...
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03/28/2023
An optimally stable approximation of reactive transport using discrete test and infinite trial spaces
In this contribution we propose an optimally stable ultraweak Petrov-Gal...
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02/24/2023
The Localized Subtraction Approach For EEG and MEG Forward Modeling
In FEM-based EEG and MEG source analysis, the subtraction approach has b...
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01/07/2023
DoD stabilization for higher-order advection in two dimensions
When solving time-dependent hyperbolic conservation laws on cut cell mes...
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01/06/2023
DoD Stabilization of linear hyperbolic PDEs on general cut-cell meshes
Standard numerical methods for hyperbolic PDEs require for stability a C...
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11/30/2022
CutFEM forward modeling for EEG source analysis
Source analysis of Electroencephalography (EEG) data requires the comput...
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04/28/2022
A Hardware-aware and Stable Orthogonalization Framework
The orthogonalization process is an essential building block in Krylov s...
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11/02/2020
Realistic head modeling of electromagnetic brain activity: An integrated Brainstorm pipeline from MRI data to the FEM solution
Human brain activity generates scalp potentials (electroencephalography ...
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12/26/2019
Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation
For solving unsteady hyperbolic conservation laws on cut cell meshes, th...
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12/26/2019
Strategies for the vectorized Block Conjugate Gradients method
Block Krylov methods have recently gained a lot of attraction. Due to th...
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12/15/2019
Dynamic and weighted stabilizations of the L-scheme applied to a phase-field model for fracture propagation
We consider a phase-field fracture propagation model, which consists of ...
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11/04/2019
Exa-Dune – Flexible PDE Solvers, Numerical Methods and Applications
In the Exa-Dune project we have developed, implemented and optimised num...
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09/30/2019
The DUNE Framework: Basic Concepts and Recent Developments
This paper presents the basic concepts and the module structure of the D...
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06/13/2019
A stabilized DG cut cell method for discretizing the linear transport equation
We present new stabilization terms for solving the linear transport equa...
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01/09/2019
duneuro - A software toolbox for forward modeling in neuroscience
This paper describes duneuro, a software toolbox for forward modeling in...
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06/25/2018
Function space bases in the dune-functions module
The dune-functions Dune module provides interfaces for functions and fun...
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04/12/2018
A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application
C++ advocates exceptions as the preferred way to handle unexpected behav...
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12/18/2015