Conditioning of Pseudospectral Matrices for Certain Domain Decompositions
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Summary
This paper investigates the conditioning of the matrices resulting from certain conforming pseudospectral approximations and investigates the way in which the poor conditioning of these matrices affects the performance of various direct methods of solution of the resulting systems.
- Type
- article
- Published
- 1999-03-01
- Cited by
- 1
- References
- 10
- OpenAlex
- https://openalex.org/W104997078
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:22054189
Keywords
Mathematics, Simple (philosophy), Applied mathematics, Domain (mathematical analysis), Iterative method
References
- Conforming spectral approximations for non-conforming domain decompositions
- Direct Methods for Spectral Approximations in Nonconforming Domain Decompositions
- FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
- INVERSE PROBLEMS NEWSLETTER
- Chebyshev pseudospectral method of viscous flows with corner singularities
- A conforming spectral technique for biharmonic-type problems in rectangular domains
- A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries
- Matrix computations
- Spectral methods for fluid dynamics
- Spectral Methods In Fluid Dynamics
- Spectral Methods in Fluid Dynamics
- High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions
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