Optimum acceleration factors for iterative solution of linear and nonlinear differential systems

DOI10.1016/0045-7825(84)90084-7zbMath0553.65068OpenAlexW1992599456MaRDI QIDQ759461

Stephen R. Kennon, George S. Dulikravich

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90084-7

zbMATH Keywords

relaxationtruncated Taylor seriesiterative solutionminimal residual techniquesmultiple grid methodoptimum acceleration factors

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Grid orthogonalization for curvilinear alternating-direction techniques ⋮ Fast iterative algorithms based on optimized explicit time stepping ⋮ Distributed minimal residual (DMR) method for acceleration of iterative algorithms ⋮ Generalized nonlinear minimal residual (GNLMR) method for iterative algorithms ⋮ Sensitivity-based methods for convergence acceleration of iterative algorithms.

Uses Software

• ITPACK
• CAS22

Cites Work

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• Vector Computations for Sparse Linear Systems
• Convergence Acceleration of Relaxation Solutions for Transonic Flow Computations Mohamed
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Accelerated Iterative Calculation of Transonic Nacelle Flowfields
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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