An introduction to the meshless finite pointset method

 

Gorde:
Xehetasun bibliografikoak
Egileak: Ruiz V., Jorge Mauricio, León E., Diego A.
Formatua: artículo original
Egoera:Versión publicada
Argitaratze data:2016
Deskribapena: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.
Herria:Portal de Revistas UCR
Erakundea:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Hizkuntza:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/25266
Sarrera elektronikoa:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/25266
Gako-hitza:meshless method
moving least square method
Burgers equation
métodos sin malla
mínimos cuadrados móviles
ecuación de Burgers