PARALLEL SOLUTION METHODS AND PRECONDITIONERS FOR EVOLUTION EQUATIONS

DOI10.3846/mma.2018.018zbMath1488.65064OpenAlexW2755540485MaRDI QIDQ4959392

Zhao-Zheng Liang, Owe Axelsson, Maya G. Neytcheva

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2018.018

zbMATH Keywords

evolution equationpreconditioningparallel solutionPDE-constrained optimization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical algorithms for specific classes of architectures (65Y10) Preconditioners for iterative methods (65F08)

Related Items (6)

A new iterative method for solving the systems arisen from finite element discretization of a time-harmonic parabolic optimal control problems ⋮ Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks ⋮ PDE-Constrained Optimization: Matrix Structures and Preconditioners ⋮ A new iterative method for solving a class of two-by-two block complex linear systems ⋮ Improved block preconditioners for linear systems arising from half-quadratic image restoration ⋮ A new two-parameter iteration method for indefinite complex symmetric linear systems

Uses Software

• PETSc
• Trilinos
• ParMETIS
• MinRes

Cites Work

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