111 メッシュレス適合エルミート型要素の精度評価(OS1-(3)オーガナイズドセッション《計算力学と数値シミュレーション》)

概要

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Triangular or tetrahedral elements are broadly used because of compatibility to auto mesh or node-base calculation. It is also well known that a low order approximation in such elements results in poor accuracy. Therefore many elements with high precision have been proposed. Although the six-node isoparametric triangular element with second order trial function seems a standard nowadays, it requires adding mid-point nodes on its sides after tessellation. This becomes a large disadvantage in problems with frequent remeshing such as adaptive calculation. In order to solve this problem, high precision triangular elements with corner nodes have been proposed. In this paper, a high precision triangular element with Hermitian type interpolation functions only with corer nodes and its accuracy is estimated.
2010-08-27