FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08)

Related Items (2)

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

Uses Software

Trilinos
Belos
Albany/FELIX
Amesos2
MueLu
Albany
Elmer/Ice
ISSM
MPAS

Cites Work

Nonlinear localization strategies for domain decomposition methods: application to post-buckling analyses
A multiscale finite element method for elliptic problems in composite materials and porous media
Why restricted additive Schwarz converges faster than additive Schwarz
Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos
A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling
A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems
A Matrix Dependent/Algebraic Multigrid Approach for Extruded Meshes with Applications to Ice Sheet Modeling
A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos
A model for polythermal ice incorporating gravity-driven moisture transport
Multiscale Finite Elements for Linear Elasticity: Oscillatory Boundary Conditions
Combining Machine Learning and Adaptive Coarse Spaces---A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions
Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions
Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics
A Family of Energy Minimizing Coarse Spaces for Overlapping Schwarz Preconditioners
An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
Nonlinearly Preconditioned Inexact Newton Algorithms
An Alternative Coarse Space for Irregular Subdomains and an Overlapping Schwarz Algorithm for Scalar Elliptic Problems in the Plane
An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations
Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids
Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems
Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems
Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions
Achieving Textbook Multigrid Efficiency for Hydrostatic Ice Sheet Flow
On the Design of Small Coarse Spaces for Domain Decomposition Algorithms
A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets
Methods of conjugate gradients for solving linear systems

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