Fourier embedded domain methods: Periodic and C∞ extension of a function defined on an irregular region to a rectangle via convolution with Gaussian kernels

Applied Mathematics and Computation

Volumn 183, Issue 2, 2006, Pages 813-818

  Bueno Orovio, Alfonso ^a  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

Author keywords

Domain embedding methods; Extension of a function; Fictitious domain methods; Fourier pseudospectral

Indexed keywords

FOURIER TRANSFORMS; FUNCTIONS; NONLINEAR EQUATIONS;

DOMAIN EMBEDDING METHODS; EXTENSION OF A FUNCTION; FICTITIOUS DOMAIN METHODS; FOURIER PSEUDOSPECTRAL;

NUMERICAL METHODS;

EID: 33845742183     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.06.029     Document Type: Article

References (9)

1. Badea L., and Daripa P. On a Fourier method of embedding domains using an optimal distributed control. Numer. Algorithms 32 (2003) 261-273
2. Elghaoui M., and Pasquetti R. A spectral embedding method applied to the advection-diffusion equation. J. Comput. Phys. 125 (1996) 464-476
3. Elghaoui M., and Pasquetti R. Mixed spectral-boundary element embedding algorithms for the Navier-Stokes equations in the vorticity-stream function formulation. J. Comput. Phys. 153 (1996) 82-100
4. Bueno-Orovio A., Pérez-García V.M., and Fenton F.H. Spectral methods for partial differential equations in irregular domains: the spectral smoothed boundary method. SIAM J. Sci. Comput. 28 (2006) 886-900
5. Bueno-Orovio A., and Pérez-García V.M. Spectral smoothed boundary methods: the role of external boundary conditions. Numer. Meth. Part Differen. Equat. 22 (2006) 435-448
6. ∞. App. Math. Comput. 161 (2005) 591-597
7. Brézis H. Analyse fonctionelle: theórie et applications (1983), Masson, Paris
8. Boyd J.P. A comparison of numerical algorithms for Fourier extension of the first, second and third kinds. J. Comput. Phys. 178 (2002) 118-160
9. Haralick R.M., and Shapiro L.G. Computer and Robot Vision vol. 1 (1992), Addison Wesley, New York pp. 298-299