An introduction to the meshless finite pointset method

 

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Autoři: Ruiz V., Jorge Mauricio, León E., Diego A.
Médium: artículo original
Stav:Versión publicada
Datum vydání:2016
Popis:In this work we propose a short and simple introduction of the meshless method known as finite pointset method (FPM). We describe the main concepts involved in the FPM method like: the pointset generation, point neighbors search, the spatial derivatives approximation by the moving least square method and the solution of the resultant ordinary differential system. As application of the method we solve the viscid an inviscid Bugers equation. The numerical solutions are compared with the analytical solution and a convergence analysis via numerical experimentation is performed. We provide the MATLAB codes for the main steps of the FPM method, which can be used to solve more complex problems.
Země:Portal de Revistas UCR
Instituce:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jazyk:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/25266
On-line přístup:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/25266
Klíčové slovo:meshless method
moving least square method
Burgers equation
métodos sin malla
mínimos cuadrados móviles
ecuación de Burgers