Construction of surfaces by discrete variational splines with parallelism conditions

Authors:
A. Kouibia;M. Pasadas
Affiliations:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Severo Ochoa s/n, Granada E-18071, Spain;Departamento de Matemática Aplicada, E.T.S.I. Caminos, c.y p., Universidad de Granada, Campus Fuentenueva s/n, Granada E-18071, Spain
Venue:
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Year:
2004

Citing 3
Cited 0

Construction of curves with parallelism conditions

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Approximation by discrete variational splines

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Finite Element Method for Elliptic Problems

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Abstract

We present in this paper a discrete problem of constructing some parametric surfaces with parallelism conditions from some given Lagrangean data. We consider the problem of fitting some scattered points with a surface pseudo-parallel to a given reference surface in a finite element space. Some convergence results are shown. Finally, we analyze some graphical examples in order to prove the validity and the effectiveness of this method.