[HTML][HTML] The Dune framework: Basic concepts and recent developments

P Bastian, M Blatt, A Dedner, NA Dreier… - … & Mathematics with …, 2021 - Elsevier
This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

Numerical simulation of hydrodynamic and gas mixing processes in underground hydrogen storages

F Feldmann, B Hagemann, L Ganzer… - Environmental Earth …, 2016 - Springer
The storage of hydrogen in underground reservoirs comprises a potential solution for
balancing the fluctuating energy production from wind and solar power plants. In this …

[PDF][PDF] The distributed and unified numerics environment, version 2.4

M Blatt, A Burchardt, A Dedner… - Archive of …, 2016 - journals.ub.uni-heidelberg.de
The Distributed and Unified Numerics Environment, Version 2.4 Page 1 Archive of
Numerical Software vol. 4, no. 100, 2016, pages 13–29 DOI: 10.11588/ans.2016.100.26526 …

Mathematical modeling of unstable transport in underground hydrogen storage

B Hagemann, M Rasoulzadeh, M Panfilov… - Environmental Earth …, 2015 - Springer
Within the framework of energy transition, hydrogen has a great potential as a clean energy
carrier. The conversion of electricity into hydrogen for storage and transport is an efficient …

Error control for the localized reduced basis multiscale method with adaptive on-line enrichment

M Ohlberger, F Schindler - SIAM Journal on Scientific Computing, 2015 - SIAM
In this contribution we consider localized, robust, and efficient a posteriori error estimation of
the localized reduced basis multiscale (LRBMS) method for parametric elliptic problems with …

A numerical approach for fluid deformable surfaces with conserved enclosed volume

V Krause, A Voigt - Journal of Computational Physics, 2023 - Elsevier
We consider surface finite elements and a semi-implicit time stepping scheme to simulate
fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier …

Derivation and simulation of a two-phase fluid deformable surface model

E Bachini, V Krause, I Nitschke, A Voigt - Journal of Fluid Mechanics, 2023 - cambridge.org
To explore the impact of surface viscosity on coexisting fluid domains in biomembranes we
consider two-phase fluid deformable surfaces as model systems for biomembranes. Such …

Wrinkling of fluid deformable surfaces

V Krause, A Voigt - Journal of the Royal Society Interface, 2024 - royalsocietypublishing.org
Wrinkling instabilities of thin elastic sheets can be used to generate periodic structures over
a wide range of length scales. Viscosity of the thin elastic sheet or its surrounding medium …

A realistic, accurate and fast source modeling approach for the EEG forward problem

T Miinalainen, A Rezaei, D Us, A Nüßing, C Engwer… - NeuroImage, 2019 - Elsevier
The aim of this paper is to advance electroencephalography (EEG) source analysis using
finite element method (FEM) head volume conductor models that go beyond the standard …

The discontinuous Galerkin finite element method for solving the MEG and the combined MEG/EEG forward problem

MC Piastra, A Nüßing, J Vorwerk, H Bornfleth… - Frontiers in …, 2018 - frontiersin.org
In Electro-(EEG) and Magnetoencephalography (MEG), one important requirement of source
reconstruction is the forward model. The continuous Galerkin finite element method (CG …