表検索法による要素マトリックスの高速計算

概要

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The paper deals with a high speed construction method for stiffness matrix of FEM. In condition that components of D and B matrices are independent of global coordinate, the FEM elements which have same element type, same geometrical shape and scale and same material properties have same element stiffness matrix. In this case, applying tabulation technique which is a high speed method for execution of recursive procedure, the number of numeric integration for element stiffness matrix become less than number of total element in construction of global stiffness matrix. Sequentially, we can construct global stiffness matrix at high speed. In this paper, analyzing relation of between element stiffness matrix and input data, applicability of tabulation technique and preparation method of input data is proposed in calculation of element stiffness matrix. Futhermore, estimative expression which is used in evaluation for availability of tabulation technique on FEM is expressed. By numerical experimentation which used heat transfer analysis system based on tabulation technique, following result is confirmed, proposed method is 21 times fast than conventional method for construction of global stiffness matrix.
日本シミュレーション学会の論文
1994-03-15