Uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection

DOI10.1051/m2an/2017058zbMath1416.65365OpenAlexW2789594389MaRDI QIDQ4961192

Xiuling Ma, Chunguang Xiong, Fusheng Luo

Publication date: 26 October 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2017058

zbMATH Keywords

superconvergenceSchrödinger equationserror estimateHDG

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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)

An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations ⋮ Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations

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