Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems

DOI10.1007/s00466-022-02254-yOpenAlexW4318596188MaRDI QIDQ2692910

Oliver Rheinbach, Stefan Prüger, Björn Kiefer, Friederike Röver

Publication date: 17 March 2023

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.00801

zbMATH Keywords

domain decompositiondissipation potentialNewton iterationKrylov iterationminimization formulationMPI-parallel implementationswelling volume fractiontime-explicit algoritm

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical and other methods in solid mechanics (74S99) Chemical structure in solid mechanics (74E40)

Uses Software

• deal.ii
• PETSc
• Trilinos
• KLU
• p4est
• Amesos2
• GitHub
• FROSch

Cites Work

• Unnamed Item
• A nonlinear, transient finite element method for coupled solvent diffusion and large deformation of hydrogels
• A theory for species migration in a finitely strained solid with application to polymer network swelling
• Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity
• A coupled theory of fluid permeation and large deformations for elastomeric materials
• Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load
• A theory of coupled diffusion and large deformation in polymeric gels
• Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials
• On a certain class of one step temporal integration methods for standard dissipative continua
• A coupled mass transport and deformation theory of multi-constituent tumor growth
• FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos
• A three-level extension of the GDSW overlapping Schwarz preconditioner in three dimensions
• 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method
• A coupled model of transport-reaction-mechanics with trapping. I: Small strain analysis
• Comparing mixed hybrid finite element method with standard FEM in swelling simulations involving extremely large deformations
• The deal.II library, version 9.2
• The \textsc{deal.II} finite element library: design, features, and insights
• On modeling fracture of ferritic steels due to hydrogen embrittlement
• A thermo-chemo-mechanically coupled model for cathode particles in lithium-ion batteries
• A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions
• Aspects of finite element formulations for the coupled problem of poroelasticity based on a canonical minimization principle
• Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics
• A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos
• Algorithm 907
• Algorithms and data structures for massively parallel generic adaptive finite element codes
• p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
• Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions
• FETI-DP, BDDC, and block Cholesky methods
• A Family of Energy Minimizing Coarse Spaces for Overlapping Schwarz Preconditioners
• Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity
• An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
• FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
• Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space
• Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems
• Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems
• Convergence of a balancing domain decomposition by constraints and energy minimization
• On the Design of Small Coarse Spaces for Domain Decomposition Algorithms
• Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods
• Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer

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