An introduction to the meshless finite pointset method

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Ruiz V., Jorge Mauricio, León E., Diego A.
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2016
Περιγραφή: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.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/25266
Διαθέσιμο Online:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/25266
Λέξη-Κλειδί :meshless method
moving least square method
Burgers equation
métodos sin malla
mínimos cuadrados móviles
ecuación de Burgers