method of weight residuals

…As mentioned above, the finite element method divides the internal region of an object into elements, but recently the boundary element method, which divides only the boundary of an object into elements and performs numerical analysis, has been developed and is showing rapid development. In addition, a theoretical system of weighted residuals has been established that can unify numerical analysis methods such as the finite element method and the boundary element method, and it is expected that in the future, any physical phenomenon or material transfer phenomenon described by differential equations will be able to be numerically analyzed under complex boundary conditions using the finite element method or the boundary element method, or by the combination of both. [Yoshiharu Yuki]. …

*Some of the terms used in this article that refer to "method of weight residuals" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

…前述のように有限要素法は物体の内部領域も要素に分割するが，最近物体の境界のみを要素に分割し数値解析する境界要素法boundary element methodも開発され，急速な発展を見せている。また有限要素法や境界要素法などの数値解析法を統一的に説明できる重み付き残差法method of weight residualsの理論体系もでき，今後は微分方程式で記述されるあらゆる物理現象あるいは物質移動現象が，複雑な境界条件の下で有限要素法あるいは境界要素法により，または両者の協力により数値解析できるようになるものと期待されている。【結城 良治】。…

※「method of weight residuals」について言及している用語解説の一部を掲載しています。

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