SOME PARALLEL ITERATION METHODS FOR SOLUTION OF ELLIPTIC AND PARABOLIC EQUATIONS ON LOCALLY REFINING MESHES
O. Yu. Milyukova, V. F. Tishkin
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.2. С. 3-14.
An implicit difference scheme has been built for solution of a thermal conductivity equation on locally refining meshes in a rectangular calculation area. Methods of conjugate gradients with prestipulation being the variant of incomplete Cholesky factorization or modified incomplete Cholesky factorization are used to solve a system of equations resulting from approximation of boundary problems for elliptic and parabolic equations. Parallel variants of concerned methods are suggested for task solution on parallel computers with MIMD architecture. Rate of convergence and effectiveness of the offered methods are examined using model problems calculation on moderate number of processors.
|
English
