An adaptive Galerkin method for the time-dependent complex Schrödinger equation

DOI10.1016/j.apnum.2017.06.013zbMath1372.65268OpenAlexW2724785388MaRDI QIDQ2402566

Andreas Meister, Martin Steigemann, Andrés I. Ávila

Publication date: 8 September 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.06.013

zbMATH Keywords

finite elementerror estimatedual weighted residual methodadaptive Galerkin methodnonlinear time-dependent Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation ⋮ Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation

Uses Software

• deal.ii

Cites Work

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