[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 …

MFEM: A modular finite element methods library

R Anderson, J Andrej, A Barker, J Bramwell… - … & Mathematics with …, 2021 - Elsevier
MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …

Porepy: An open-source software for simulation of multiphysics processes in fractured porous media

E Keilegavlen, R Berge, A Fumagalli… - Computational …, 2021 - Springer
Abstract Development of models and dedicated numerical methods for dynamics in fractured
rocks is an active research field, with research moving towards increasingly advanced …

The parallel multi-physics phase-field framework Pace3D

J Hötzer, A Reiter, H Hierl, P Steinmetz, M Selzer… - Journal of computational …, 2018 - Elsevier
The phase-field method has been established for the numerical investigation of various
microstructure evolution processes. The accurate description of these complex processes …

Electromagnetic modeling using adaptive grids–Error estimation and geometry representation

K Spitzer - Surveys in Geophysics, 2024 - Springer
This review paper addresses the development of numerical modeling of electromagnetic
fields in geophysics with a focus on recent finite element simulation. It discusses ways of …

[HTML][HTML] Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media

JW Both, K Kumar, JM Nordbotten, FA Radu - Computers & Mathematics …, 2019 - Elsevier
In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity …

On the optimization of the fixed‐stress splitting for Biot's equations

E Storvik, JW Both, K Kumar… - International Journal …, 2019 - Wiley Online Library
In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …

[HTML][HTML] An accelerated staggered scheme for variational phase-field models of brittle fracture

E Storvik, JW Both, JM Sargado, JM Nordbotten… - Computer Methods in …, 2021 - Elsevier
There is currently an increasing interest in developing efficient solvers for variational phase-
field models of brittle fracture. The governing equations for this problem originate from a …

Modeling, simulation, and optimization of geothermal energy production from hot sedimentary aquifers

L Blank, E Meneses Rioseco, A Caiazzo… - Computational …, 2021 - Springer
Geothermal district heating development has been gaining momentum in Europe with
numerous deep geothermal installations and projects currently under development. With the …

PCPATCH: software for the topological construction of multigrid relaxation methods

PE Farrell, MG Knepley, L Mitchell… - ACM Transactions on …, 2021 - dl.acm.org
Effective relaxation methods are necessary for good multigrid convergence. For many
equations, standard Jacobi and Gauß–Seidel are inadequate, and more sophisticated …