Parallel algorithms for the capacitance matrix method in domain decompositions

DOI10.1007/BF02575748zbMath0675.65116OpenAlexW2037675107WikidataQ56996696 ScholiaQ56996696MaRDI QIDQ1122342

Giovanni Sacchi Landriani, Alfio M. Quarteroni

Publication date: 1988

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575748

zbMATH Keywords

convergencedomain decompositionRichardson extrapolationspectral collocation methodsconjugate gradient iterationspreconditioning matrixcapacitance matrix

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05)

Related Items

Numerical solution of linear elastic problems by spectral collocation methods, Polynomial extensions of compatible polynomial traces in three dimensions, The Schwarz algorithm for multidomain spectral approximation of elliptic problems, Spectral multidomain approximation of elliptic problems with mixed conditions on the interfaces, Domain decomposition preconditioners for the spectral collocation method, Unsteady fluid flow and temperature fields in a horizontal enclosure with an adiabatic body, Effective numerical algorithms for the solution of algebraic systems arising in spectral methods, Iterative methods for domain decomposition using spectral tau and collocation approximation, Schur complement domain decomposition algorithms for spectral methods, A multidomain spectral collocation method for the Stokes problem, Numerical methods for hypersonic boundary layer stability, Noncorming matching conditions for coupling spectral and finite element methods, Pseudospectral approximation of a PDE defined on a triangle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension
• Manifestations of the Schur complement
• Analysis of Preconditioners for Domain Decomposition
• A multidomain spectral approximation of elliptic equations
• The Construction of Preconditioners for Elliptic Problems by Substructuring. II
• Properties of Some Weighted Sobolev Spaces and Application to Spectral Approximations
• An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures