重複ブロックで構成される全体剛性マトリクスの分割処理について

抄録

The purpose of this paper is to decompose a global stiffness matrix with overlapping matrices on finite element method. Generally a efficiency of computational on finite element method depend upon solving of the global stiffness equation. If the global stiffness matrix is composed to band matrix, we can regard it as interconnected matrices composed of overlapping matrices. The decomposed algorithm is to removed interconnected element in overlapping matrices. Thus the global stiffness equation can decompose decoupled linear algebraic equation with low order. The decomposed equations are independently each other the reduced order equations can be solved by using parallel processing. In order to demonstrate the effectiveness of the proposed algorithm, a brief example is shown.