Mathematics – Analysis of PDEs
Scientific paper
2006-09-14
Numerische Mathematik 102 (2006) 583-610
Mathematics
Analysis of PDEs
Scientific paper
This paper is the second part of a threefold article, aimed at solving numerically the Poisson problem in three-dimensional prismatic or axisymmetric domains. In the first part of this series, the Fourier Singular Complement Method was introduced and analysed, in prismatic domains. In this second part, the FSCM is studied in axisymmetric domains with conical vertices, whereas, in the third part, implementation issues, numerical tests and comparisons with other methods are carried out. The method is based on a Fourier expansion in the direction parallel to the reentrant edges of the domain, and on an improved variant of the Singular Complement Method in the 2D section perpendicular to those edges. Neither refinements near the reentrant edges or vertices of the domain, nor cut-off functions are required in the computations to achieve an optimal convergence order in terms of the mesh size and the number of Fourier modes used.
Ciarlet Patrick
Jung Beate
Kaddouri Samir
Labrunie Simon
Zou Jun
No associations
LandOfFree
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-537892