The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains

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dc.creatorCiarlet, Patrick
dc.creatorJung, Beate
dc.creatorKaddouri, Samir
dc.creatorLabrunie, Simon
dc.creatorZou, Jun
dc.date2006-09-14
dc.date.accessioned2026-07-07T07:24:49Z
dc.date.available2026-07-07T07:24:49Z
dc.descriptionThis 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.
dc.identifierhttps://arxiv.org/abs/math/0609396
dc.identifierhttp://arxiv.org/abs/math/0609396
dc.identifierNumerische Mathematik 102 (2006) 583-610
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116514
dc.subjectAnalysis of PDEs
dc.subject65N30, 35L15
dc.titleThe Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains
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