• Aucun résultat trouvé

Why Classical Schwarz Methods Applied to Certain Hyperbolic Systems Can Converge even Without Overlap

N/A
N/A
Info
Télécharger
Protected

Academic year: 2021

Partager "Why Classical Schwarz Methods Applied to Certain Hyperbolic Systems Can Converge even Without Overlap"

Copied!
11
0
0

Chargement.... (Voir le texte intégral maintenant)

Texte intégral

Figure

Table 1. Asymptotic convergence rate and optimal choice of the parameters in the transmission conditions for the five variants of the optimized Schwarz method ap-plied to the Cauchy-Riemann equations, when the overlap L or the mesh parameter h is small, a
Table 2 shows the iteration count for all Schwarz algorithms considered, in the overlapping and non-overlapping case, and when the mesh is refined.

Références

Télécharger maintenant ( PDF - 11 Page - 346.81 KB )

Documents relatifs

The Cauchy–Riemann equations The Cauchy–Riemann equations come in various equivalent flavours:

[r]

Algebraic Adaptive Multipreconditioning applied to Restricted Additive Schwarz

4 Compressible test case – reducing the number of directions by aggregating them into m vectors – error norm versus iteration count for different values of m... 5 Incompressible

Methods of Reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning

Using substructuring techniques from domain decomposition, we then show that the methods of reflections are classical block Jacobi and block Gauss-Seidel methods for the

Methods of Reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning.

In Section 6, we then give a scalability analysis, and also propose for the first time for the methods of reflections a coarse space correction to make them scalable in the case

Inégalité de Cauchy-Schwarz

Il est possible de préciser le cas d’égalité dans l’inégalité de Cauchy-Schwarz.. Cas particulier lorsque l’on prend les y i égaux aux

On the relation between the Borel sum and the classical solution of the Cauchy problem for certain partial differential equations

or the Beam equation, the condition for the k-summability or the Borel summability was obtained by Miyake [Miy] and the integral representation of the Borel sum was

A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains

In [8], Ventcell boundary conditions are used for a domain décomposition method for the convection-diffusion équation. Convergence is proved only for a décomposition into strips. On

A dissipative Galerkin method applied to some quasilinear hyperbolic equations

For the ordinary Galerkin method the corresponding finite différence operator has order of accuracy 2y> and no dissipation, whereas the method (1.3) leads to a finite