Spectral Methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
نویسندگان
چکیده
In this paper, we propose a numerical method to approximate the solution of partial differential equations in irregular domains with no-flux boundary conditions by means of spectral methods. The main features of this method are its capability to deal with domains of arbitrary shape and its easy implementation via Fast Fourier Transform routines. We discuss several examples of practical interest and test the results against exact solutions and standard numerical methods.
منابع مشابه
ar X iv : m at h . N A / 0 40 63 27 v 1 1 6 Ju n 20 04 SPECTRAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS IN IRREGULAR DOMAINS : THE SPECTRAL SMOOTHED BOUNDARY METHOD
ALFONSO BUENO-OROVIO, VÍCTOR M. PÉREZ-GARCÍA ‡ , AND FLAVIO H. FENTON Abstract. In this paper, we propose a numerical method to approximate the solution of partial differential equations in irregular domains with no-flux boundary conditions by means of spectral methods. The main features of this method are its capability to deal with domains of arbitrary shape and its easy implementation via Fa...
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ورودعنوان ژورنال:
- SIAM J. Scientific Computing
دوره 28 شماره
صفحات -
تاریخ انتشار 2006