Domain decomposition solvers for nonlinear multiharmonic finite element equations

DOI10.1515/JNUM.2010.008zbMath1204.65121OpenAlexW2028552746MaRDI QIDQ3056343

Ulrich Langer, Dylan Matthew Copeland

Publication date: 12 November 2010

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum.2010.008

zbMATH Keywords

Newton's methoddomain decompositionfinite elementFourier coefficientsnonlinear parabolic problemalmost optimal preconditionertime-harmonic excitation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Series solutions to PDEs (35C10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems ⋮ Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems ⋮ Domain Decomposition Solvers for Frequency-Domain Finite Element Equations ⋮ Functional a posteriori error estimates for parabolic time-periodic boundary value problems

Cites Work

• A domain decomposition algorithm for elliptic problems in three dimensions
• The approximate Dirichlet domain decomposition method. I: An algebraic approach
• The approximate Dirichlet domain decomposition method. II: Applications to 2nd-order elliptic B.V.P.s
• Monotonicity-preserving interproximation of \(B\)-\(H\)-curves
• Numerical analysis of nonlinear multiharmonic eddy current problems
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
• The non-overlapping domain decomposition multiplicative schwarz method
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions

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