Approximation of surfaces by modified Helmholtz splines

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:350

Article

Kouibia, A.¹  Pasadas, M.¹  Reyah, L.¹  Akhrif, R.² 

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Fac Sci Jurid Econ & Sociales Tetouan, Martil, Morocco

关键词: Approximation;    Interpolation;    Splines;    Surfaces;    Helmholtz equation;    PDE;   

DOI  :  10.1016/j.cam.2018.10.023

来源: Elsevier

【 摘 要 】

We present a smoothing method of a set of points to be approximated from a given boundary value problem for the modified Helmholtz equation. A solution of such problem will be called MH-spline. Two convergence results are carefully established. Some numerical and graphic examples are shown in order to test the validity of the method. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free