Equivalence Between the Combined Approximations Technique and Krylov Subspace Methods

Equivalence Between the Combined Approximations Technique and Krylov Subspace Methods

Research results show that the combined approximations (CA) technique proposed by Kirsch is a preconditioned Krylov subspace method. This connection enables a better understanding of why the CA technique will converge to the exact solution when the number of basis vectors is increased.

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Veröffentlicht in:AIAA journal 2002-05, Vol.40 (5), p.1021-1023
1. Verfasser: Nair, Prasanth B
Format: Artikel
Sprache:eng
Schlagworte:
Aerodynamics
Convergence of numerical methods
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Perturbation techniques
Physics
Sensitivity analysis
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Topology
Vectors
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Beschreibung
Zusammenfassung:Research results show that the combined approximations (CA) technique proposed by Kirsch is a preconditioned Krylov subspace method. This connection enables a better understanding of why the CA technique will converge to the exact solution when the number of basis vectors is increased.
ISSN:0001-1452
1533-385X
DOI:10.2514/2.1747