[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 …

The CHAOS-7 geomagnetic field model and observed changes in the South Atlantic Anomaly

CC Finlay, C Kloss, N Olsen, MD Hammer… - Earth, Planets and …, 2020 - Springer
We present the CHAOS-7 model of the time-dependent near-Earth geomagnetic field
between 1999 and 2020 based on magnetic field observations collected by the low-Earth …

Rupture of 3D-printed hyperelastic composites: Experiments and phase field fracture modeling

J Russ, V Slesarenko, S Rudykh, H Waisman - Journal of the Mechanics …, 2020 - Elsevier
In this work, we study the failure behavior of 3D-printed polymer composites undergoing
large deformations. Experimental results are compared to numerical simulations using the …

Choose a transformer: Fourier or galerkin

S Cao - Advances in neural information processing systems, 2021 - proceedings.neurips.cc
In this paper, we apply the self-attention from the state-of-the-art Transformer in Attention Is
All You Need for the first time to a data-driven operator learning problem related to partial …

Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes

MW Scroggs, JS Dokken, CN Richardson… - ACM Transactions on …, 2022 - dl.acm.org
We develop a method for generating degree-of-freedom maps for arbitrary order Ciarlet-type
finite element spaces for any cell shape. The approach is based on the composition of …

The deal. II finite element library: Design, features, and insights

D Arndt, W Bangerth, D Davydov, T Heister… - … & Mathematics with …, 2021 - Elsevier
Abstract deal. II is a state-of-the-art finite element library focused on generality, dimension-
independent programming, parallelism, and extensibility. Herein, we outline its primary …

[HTML][HTML] A comprehensive and biophysically detailed computational model of the whole human heart electromechanics

M Fedele, R Piersanti, F Regazzoni, M Salvador… - Computer Methods in …, 2023 - Elsevier
While ventricular electromechanics is extensively studied in both physiological and
pathological conditions, four-chamber heart models have only been addressed recently; …

[HTML][HTML] preCICE v2: A sustainable and user-friendly coupling library

G Chourdakis, K Davis, B Rodenberg… - Open Research …, 2022 - ncbi.nlm.nih.gov
preCICE v2: A sustainable and user-friendly coupling library - PMC Back to Top Skip to main
content NIH NLM Logo Access keys NCBI Homepage MyNCBI Homepage Main Content Main …

The deal. II library, version 9.4

D Arndt, W Bangerth, M Feder, M Fehling… - Journal of Numerical …, 2022 - degruyter.com
The deal.II library, Version 9.4 Skip to content Should you have institutional access? Here's
how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD - Dollar EN English Deutsch 0 …

A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart

M Bucelli, A Zingaro, PC Africa… - … journal for numerical …, 2023 - Wiley Online Library
We propose a mathematical and numerical model for the simulation of the heart function that
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …