一类三维等代数结构面剖分下的代数多重网格算法

A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures

  • 摘要: 对一类等代数结构面的三维非结构网格剖分,针对光滑变系数和各向异性系数的偏微分方程,给出两种非结构代数多重网格算法,数值试验表明算法的有效性和健壮性.

     

    Abstract: Two kinds of algebraic multigrid (AMG) algorithms with three-dimensional equal algebraic structures are constructed on the basis of a two-dimensional coarsing technique.The AMG method and the corresponding algebraic multigrid-preconditioned CG method are applied to elliptic boundary value problems with smooth coefficients and anisotropic problems.Numerical results show that the AMG algorithm is efficient and robust.

     

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