DOLFINx: the next generation FEniCS problem solving environment

IA Baratta, JP Dean, JS Dokken, M Habera, J HALE… - 2023 - orbilu.uni.lu
DOLFINx is the next generation problem solving environment from the FEniCS Project; it
provides an expressive and performant environment for solving partial differential equations …

DOLFIN: Automated finite element computing

A Logg, GN Wells - ACM Transactions on Mathematical Software (TOMS), 2010 - dl.acm.org
We describe here a library aimed at automating the solution of partial differential equations
using the finite element method. By employing novel techniques for automated code …

The deal. II library, version 9.3

D Arndt, W Bangerth, B Blais, M Fehling… - Journal of Numerical …, 2021 - degruyter.com
The deal.II library, Version 9.3 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 …

Algorithms and data structures for massively parallel generic adaptive finite element codes

W Bangerth, C Burstedde, T Heister… - ACM Transactions on …, 2012 - dl.acm.org
Today's largest supercomputers have 100,000 s of processor cores and offer the potential to
solve partial differential equations discretized by billions of unknowns. However, the …

ConvPDE-UQ: Convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains

N Winovich, K Ramani, G Lin - Journal of Computational Physics, 2019 - Elsevier
In this work, we introduce the ConvPDE-UQ framework for constructing light-weight
numerical solvers for partial differential equations (PDEs) using convolutional neural …

Multiscale finite element calculations in Python using SfePy

R Cimrman, V Lukeš, E Rohan - Advances in Computational Mathematics, 2019 - Springer
SfePy (simple finite elements in Python) is a software for solving various kinds of problems
described by partial differential equations in one, two, or three spatial dimensions by the …

A traveling-wave solution for bacterial chemotaxis with growth

AV Narla, J Cremer, T Hwa - Proceedings of the National …, 2021 - National Acad Sciences
Bacterial cells navigate their environment by directing their movement along chemical
gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial …

[BOOK][B] Multiscale Model Reduction

E Chung, Y Efendiev, TY Hou - 2023 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

[HTML][HTML] Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications

M Vasilyeva, M Babaei, ET Chung… - Applied Mathematical …, 2019 - Elsevier
In this work, heat and mass transfer in a hypothetical Enhanced Geothermal System with
complex fracture network is considered. Fracture networks have complex geometries, exist …

Unified framework for finite element assembly

MS Alnæs, A Logg, KA Mardal… - International …, 2009 - inderscienceonline.com
At the heart of any finite element simulation is the assembly of matrices and vectors from
discrete variational forms. We propose a general interface between problem-specific and …