Nonlinear BDDC methods with approximate solvers

DOI10.1553/etna_vol49s244zbMath1410.65473OpenAlexW2904003149WikidataQ128723730 ScholiaQ128723730MaRDI QIDQ1716841

Martin Lanser, Axel Klawonn, Oliver Rheinbach

Publication date: 5 February 2019

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol49/abstract.php?vol=49&pages=244-273

zbMATH Keywords

Newton's methodnonlinear elasticityparallel computingplasticitynonlinear problemsnonlinear eliminationinexact BDDCnonlinear BDDCnonlinear domain decomposition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) 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

Optimizing the search directions of a mixed DDM applied on cracks ⋮ Computational homogenization with million-way parallelism using domain decomposition methods ⋮ Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods ⋮ Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids ⋮ A frugal FETI-DP and BDDC coarse space for heterogeneous problems ⋮ Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints ⋮ Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners

Uses Software

• BoomerAMG
• PETSc
• PCBDDC

Cites Work

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