An efficient accurate Local Method of Approximate Particular Solutions for solving convection-diffusion problems

C. A. Bustamante, H. Power, W. F. Florez

    Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

    8 Citas (Scopus)

    Resumen

    An efficient accurate Local Method of Approximate Particular Solutions (LMAPS) using Multiquadric Radial Basis Functions (RBFs) for solving convection-diffusion problems is proposed. It consists in adding auxiliary points to the local interpolation stencil at which the governing PDE is enforced, known as PDE points, besides imposing the boundary condition at the stencil in contact with the problem boundary. Two convection-diffusion problems are considered as test problems and solved with two previous local direct RBF collocation schemes (with and without PDE points) and two LMAPS (with and without PDE points), as well as the Global MAPS, in order to compare accuracy, convergence order and their behaviour in terms of the shape parameter. If PDE points are added, the result accuracy is improved as well as the convergence rate when using both local direct and MAPS formulations.

    Idioma originalInglés
    Páginas (desde-hasta)32-37
    Número de páginas6
    PublicaciónEngineering Analysis with Boundary Elements
    Volumen47
    N.º1
    DOI
    EstadoPublicada - oct. 2014

    Huella

    Profundice en los temas de investigación de 'An efficient accurate Local Method of Approximate Particular Solutions for solving convection-diffusion problems'. En conjunto forman una huella única.

    Citar esto