Cover Image

Two-level nonlinear Schwarz methods - a parallel implementation with application to nonlinear elasticity and incompressible flow problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ho, Kyrill, Klawonn, Axel, Lanser, Martin
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 65F08, 65F10, 65H10, 65N22, 65N55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
by: Heinlein, Alexander, et al.
Published: (2024)

Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations
by: Klawonn, Axel, et al.
Published: (2024)

Towards a parallel Schwarz solver framework for virtual elements using GDSW coarse spaces
by: Bevilacqua, Tommaso, et al.
Published: (2025)

Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity
by: Bevilacqua, Tommaso, et al.
Published: (2024)

Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
by: Recio, Pablo Jiménez, et al.
Published: (2025)

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
by: Ali, Ahsan, et al.
Published: (2024)

Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies
by: Ali, Ahsan, et al.
Published: (2025)

Accelerating non-local exchange in generalized optimized Schwarz methods
by: Atchekzai, Roxane, et al.
Published: (2024)

New Analysis of Overlapping Schwarz Methods for Vector Field Problems in Three Dimensions with Generally Shaped Domains
by: Oh, Duk-Soon, et al.
Published: (2024)

Schwarz preconditioner with $H_k$-GenEO coarse space for the indefinite Helmholtz problem
by: Dolean, Victorita, et al.
Published: (2024)

Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
by: Strehlow, Arne, et al.
Published: (2024)

On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers
by: Fu, Shubin, et al.
Published: (2024)

Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems
by: Nataf, Frédéric, et al.
Published: (2024)

Algebraic Multigrid with Overlapping Schwarz Smoothers and Local Spectral Coarse Grids for Least Squares Problems
by: Southworth, Ben S., et al.
Published: (2026)

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems
by: Ali, Ahsan, et al.
Published: (2023)

Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
by: Bachmayr, Markus, et al.
Published: (2024)

The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
by: Vacek, Petr, et al.
Published: (2023)

Preconditioning a Fluid--Structure Interaction Problem Using Monolithic and Block Domain Decomposition Methods for the Fluid
by: Klawonn, Axel, et al.
Published: (2025)

Preconditioned normal equations for solving discretised partial differential equations
by: Lazzarino, Lorenzo, et al.
Published: (2025)

Unified analysis of saddle point problems via auxiliary space theory
by: Park, Jongho
Published: (2025)

Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
by: Dolean, Victorita, et al.
Published: (2024)

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains
by: Theisen, Lambert, et al.
Published: (2023)

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)

Two-level overlapping Schwarz preconditioners with universal coarse spaces for $2m$th-order elliptic problems
by: Park, Jongho
Published: (2024)

Factorized sparse approximate inverse preconditioning for singular M-matrices
by: Bick, Katherina, et al.
Published: (2025)

On Optimal Algebraic Multigrid Methods
by: Ramos, Luis García, et al.
Published: (2019)

On accelerated iterative schemes for anisotropic radiative transfer using residual minimization
by: Bardin, Riccardo, et al.
Published: (2024)

Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
by: Park, Jongho, et al.
Published: (2025)

MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
by: Xie, Yan, et al.
Published: (2023)

A Theory of Relaxation-Based Algebraic Multigrid
by: Moussa, Rayan, et al.
Published: (2026)

Robust spectral preconditioning for high-Péclet number convection-diffusion
by: Holbach, Lukas, et al.
Published: (2025)

Lopsided HSS Iterative Method and Preconditioner for a class of Complex Symmetric Linear System
by: Zhang, Yusong, et al.
Published: (2025)

An inherent regularization approach to parameter-free preconditioning for nearly incompressible linear poroelasticity and elasticity
by: Huang, Weizhang, et al.
Published: (2025)

Multigrid Primer: Basic Principles
by: McCormick, Stephen F., et al.
Published: (2026)

Chebyshev HOPGD with sparse grid sampling for parameterized linear systems
by: Correnty, Siobhán, et al.
Published: (2023)

Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes
by: Bevilacqua, Tommaso, et al.
Published: (2024)

Neural Approximate Inverse Preconditioners
by: Xu, Tianshi, et al.
Published: (2025)

Optimal Polynomial Smoothers for Parallel AMG
by: D'Ambra, Pasqua, et al.
Published: (2024)

Rejuvenating AMLI-Cycle: From Chebyshev Polynomials to Momentum Acceleration
by: Niu, Chunyan, et al.
Published: (2020)

On adaptive BDDC for the flow in heterogeneous porous media
by: Sousedík, Bedřich
Published: (2019)