G0100-2-2 ソース項との高次整合性を持つ有限要素法([G0100-2]計算力学部門一般講演(2))
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概要
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The conventional Galerkin FEM may fail to approximate the original differential equation locally when unstructured linear triangular meshes are used. This problem arises from the inconsistency between the integrals of the source team and the other terms. This research tries to solve this problem by introducing the concept of nodal domain for the source term and integrating the source term only within an element at the same time. This scheme reaches second-order consistency between the diffusion terms and the source term. The effectiveness and reasonability of our scheme are investigated numerically and theoretically. Improved accuracy is obtained for unstructured right triangular meshes and unstructured obtuse triangular meshes.
- 一般社団法人日本機械学会の論文
- 2010-09-04