A Schwarz Alternating Procedure for Singular Perturbation Problems
نویسندگان
چکیده
منابع مشابه
Lattice QCD and the Schwarz alternating procedure
A numerical simulation algorithm for lattice QCD is described, in which the shortand longdistance effects of the sea quarks are treated separately. The algorithm can be regarded, to some extent, as an implementation at the quantum level of the classical Schwarz alternating procedure for the solution of elliptic partial differential equations. No numerical tests are reported here, but theoretica...
متن کاملOn the Schwarz Alternating Method for Eigenvalue Problems
In this paper an analogue of the Schwarz alternating method is considered to nd a minimal eigenvalue and its corresponding eigenvector of generalized symmetric eigenvalue problem. The technique suggested is based on decomposition of the original domain into overlapping subdomains and on consideration of local eigenvalue problems in subdomains. Both multiplicative and additive variants of the me...
متن کاملSchwarz alternating methods for anisotropic problems with prolate spheroid boundaries
The Schwarz alternating algorithm, which is based on natural boundary element method, is constructed for solving the exterior anisotropic problem in the three-dimension domain. The anisotropic problem is transformed into harmonic problem by using the coordinate transformation. Correspondingly, the algorithm is also changed. Continually, we analysis the convergence and the error estimate of the ...
متن کاملOn Schwarz Alternating Methods for Nonlinear Elliptic Problems
The Schwarz Alternating Method is a method devised by H. A. Schwarz more than one hundred years ago to solve linear boundary value problems. It has garnered interest recently because of its potential as a very efficient algorithm for parallel computers. See the fundamental work of Lions in [7] and [8]. The literature on this method for the boundary value problem is huge, see the recent reviews ...
متن کاملMulti-Parameterized Schwarz Alternating Methods for Elliptic Boundary Value Problems
The conversencerlllc of II. numerical procedure bll.!led all. Schwarz A/lern.. /ing Mdhod (SAM) for solving: cUiptic boundary value problems (BVPs) depends all. the selection of the so called interface eondiji"n~ applied all. the interior boundaries of the overlapping 9ubdomains. It has been observed that the weighted mixed interface conditions (g(u) = o.ou + (1 w) ~~), controlled by the parame...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 1996
ISSN: 1064-8275,1095-7197
DOI: 10.1137/s1064827593258437