An introduction to the meshless finite pointset method

 

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Библиографические подробности
Авторы: Ruiz V., Jorge Mauricio, León E., Diego A.
Формат: artículo original
Статус:Versión publicada
Дата публикации:2016
Описание: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.
Страна:Portal de Revistas UCR
Институт:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Язык:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/25266
Online-ссылка:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/25266
Ключевое слово:meshless method
moving least square method
Burgers equation
métodos sin malla
mínimos cuadrados móviles
ecuación de Burgers