Decomposition And Fictitious Domains Methods for Elliptic Boundary Value Problem
Decomposition And Fictitious Domains Methods for Elliptic Boundary Value Problem
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The main purpose of the paper is the construction of a preconditioning operator for the resulting system of grid equations. The method is based on two approaches: decomposition of the domain into subdomains and using a new version of the method of fictitious domains. The rate of convergence of the corresponding conjugate gradient method is independent of both the grid size and the number of subdomains.
^ This work was supported by the Sloan Soviet Visitors Program grant number 89-4-8.
1. Introd...uction. In this paper, we consider preconditioning operators for the system of grid equations approximating the following boundary value problem: - E?, j=i g~^'^^^^'9~ + ao(x)u = /(x), x G Q, u{x) =, X e To, (1-1) du — + a{x)u =, X G Fi .
uu Here, — — is the derivative in the conormaJ direction. We assume that fi is a oN polyhedron. Let Q be a union of n nonoverlapping subdomains Q, n n = u n, , Q. N fij =, t ^ i 1=1 where Cl, axe polyhedrons with diameters on the order of H. Let Q^ 1=1 be a regular triangulation of Q.
What to read after Decomposition And Fictitious Domains Methods for Elliptic Boundary Value Problem?
You can find similar books in the "Read Also" column, or choose other free books by S V Nepomnyaschikh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The main purpose of the paper is the construction of a preconditioning operator for the resulting system of grid equations. The method is based on two approaches: decomposition of the domain into subdomains and using a new version of the method of fictitious domains. The rate of convergence of the corresponding conjugate gradient method is independent of both the grid size and the number of subdomains.
^ This work was supported by the Sloan Soviet Visitors Program grant number 89-4-8.
1. Introd...uction. In this paper, we consider preconditioning operators for the system of grid equations approximating the following boundary value problem: - E?, j=i g~^'^^^^'9~ + ao(x)u = /(x), x G Q, u{x) =, X e To, (1-1) du — + a{x)u =, X G Fi .
uu Here, — — is the derivative in the conormaJ direction. We assume that fi is a oN polyhedron. Let Q be a union of n nonoverlapping subdomains Q, n n = u n, , Q. N fij =, t ^ i 1=1 where Cl, axe polyhedrons with diameters on the order of H. Let Q^ 1=1 be a regular triangulation of Q.
What to read after Decomposition And Fictitious Domains Methods for Elliptic Boundary Value Problem?
You can find similar books in the "Read Also" column, or choose other free books by S V Nepomnyaschikh to read onlineMoreLess
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