A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method-Reference-Cited by-同舟云学术

A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method

Published:1998 Issue:222 Volume:67 Page:479-499
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Karakashian Ohannes,Makridakis Charalambos

Abstract

The convergence of the discontinuous Galerkin method for the nonlinear (cubic) Schrödinger equation is analyzed in this paper. We show the existence of the resulting approximations and prove optimal order error estimates in L ∞ ( L 2 ) . L^{\infty }(L^{2} ) . These estimates are valid under weak restrictions on the space-time mesh.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1998-67-222/S0025-5718-98-00946-6/S0025-5718-98-00946-6.pdf

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