[HTML][HTML] The Dune framework: Basic concepts and recent developments
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 …
Unified Numerics Environment and reflects on recent developments and general changes …
MFEM: A modular finite element methods library
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 …
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
Abstract Development of models and dedicated numerical methods for dynamics in fractured
rocks is an active research field, with research moving towards increasingly advanced …
rocks is an active research field, with research moving towards increasingly advanced …
The parallel multi-physics phase-field framework Pace3D
The phase-field method has been established for the numerical investigation of various
microstructure evolution processes. The accurate description of these complex processes …
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 …
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
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 …
materials. The model of interest couples the Richards equation with linear elasticity …
On the optimization of the fixed‐stress splitting for Biot's equations
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 …
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
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 …
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 …
numerous deep geothermal installations and projects currently under development. With the …
PCPATCH: software for the topological construction of multigrid relaxation methods
Effective relaxation methods are necessary for good multigrid convergence. For many
equations, standard Jacobi and Gauß–Seidel are inadequate, and more sophisticated …
equations, standard Jacobi and Gauß–Seidel are inadequate, and more sophisticated …