A Posteriori Error Analysis for Evolution Nonlinear Schrödinger Equations up to the Critical Exponent

DOI10.1137/16M1108029zbMath1448.65163arXiv1601.02430OpenAlexW2962921684MaRDI QIDQ5745073

Theodoros Katsaounis, Irene Kyza

Publication date: 5 June 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02430

zbMATH Keywords

finite elementspower nonlinearitiesa posteriori error controlreconstruction techniqueevolution NLSrelaxation Crank-Nicolson-type scheme

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

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