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Zbl 0810.65127
Tourigny, Yves
Some pointwise estimates for the finite element solution of a radial nonlinear Schrödinger equation on a class of nonuniform grids. (English)
[J] Numer. Methods Partial Differ. Equations 10, No.6, 757-769 (1994). ISSN 0749-159X; ISSN 1098-2426/e

The aim of this article is to present new pointwise estimates for the finite element approximation of a radial nonlinear Schrödinger equation. The approximation properties of the Galerkin projection for radial Lagrange finite elements are discussed. Some numerical results are presented.
[L.-I.Anita (Iaşi)]
MSC 2000:
*65Z05 Applications to physics
65M60 Finite numerical methods (IVP of PDE)
35Q55 NLS-like (nonlinear Schroedinger) equations

Keywords: error estimates; radial nonlinear Schrödinger equation; Galerkin projection; radial Lagrange finite elements; numerical results

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