Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values

DOI10.1007/BF01062117zbMath0850.35009MaRDI QIDQ1186539

Seymour V. Parter, Sze-Ping Wong

Publication date: 28 June 1992

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

condition numbersconforming finite element discretizationseffective asymptotic range

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Preconditioning \(P_ 1\) conforming finite elements: Condition numbers and singular value distributions ⋮ Spectral distribution of preconditioned elliptic operators ⋮ A BOUND FOR SIMILARITY CONDITION NUMBERS OF UNBOUNDED OPERATORS WITH HILBERT–SCHMIDT HERMITIAN COMPONENTS ⋮ Preconditioning isoparametric finite element methods taking into account numerical integration ⋮ On condition numbers of spectral operators in a Hilbert space ⋮ SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS ⋮ Perturbation bounds for angular sectors of spectra of unbounded operators ⋮ Preconditioning projection nonconforming element method for the lowest-order Raviart-Thomas mixed triangular element method ⋮ Preconditioning \(C^ 1\) Lagrange polynomial spline collocation method of elliptic equations by finite element method.

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