| dbo:abstract |
In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh, but are rather based on interaction of each node with all its neighbors. As a consequence, original extensive properties such as mass or kinetic energy are no longer assigned to mesh elements but rather to the single nodes. Meshfree methods enable the simulation of some otherwise difficult types of problems, at the cost of extra computing time and programming effort. The absence of a mesh allows Lagrangian simulations, in which the nodes can move according to the velocity field. (en) Les méthodes sans maillage sont, dans le domaine de l'analyse numérique et plus précisément dans l'utilisation de la méthode des éléments finis, celles qui ne nécessitent pas de connexion entre les nœuds du domaine de simulation, c'est-à-dire un maillage, mais sont plutôt basées sur l'interaction de chaque nœud avec tous ses voisins. (fr) メッシュフリー法 (Meshfree method) は、偏微分方程式(PDE)の境界値問題を離散化近似で従来の有限要素法(FEM)の様なメッシュ無しで近似解を得る数学的アプローチの総称である。多くのアプローチが存在する。 (ja) 무요소법(無要素法, 영어: meshfree method, 영어: meshless method)은 요소(要素,mesh)가 없이 절점이 있는 수치적 방법이다. (ko) |
| rdfs:comment |
In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh, but are rather based on interaction of each node with all its neighbors. As a consequence, original extensive properties such as mass or kinetic energy are no longer assigned to mesh elements but rather to the single nodes. Meshfree methods enable the simulation of some otherwise difficult types of problems, at the cost of extra computing time and programming effort. The absence of a mesh allows Lagrangian simulations, in which the nodes can move according to the velocity field. (en) Les méthodes sans maillage sont, dans le domaine de l'analyse numérique et plus précisément dans l'utilisation de la méthode des éléments finis, celles qui ne nécessitent pas de connexion entre les nœuds du domaine de simulation, c'est-à-dire un maillage, mais sont plutôt basées sur l'interaction de chaque nœud avec tous ses voisins. (fr) メッシュフリー法 (Meshfree method) は、偏微分方程式(PDE)の境界値問題を離散化近似で従来の有限要素法(FEM)の様なメッシュ無しで近似解を得る数学的アプローチの総称である。多くのアプローチが存在する。 (ja) 무요소법(無要素法, 영어: meshfree method, 영어: meshless method)은 요소(要素,mesh)가 없이 절점이 있는 수치적 방법이다. (ko) |
