Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations

DOI10.1007/s10915-017-0362-6zbMath1383.65106OpenAlexW2580794896MaRDI QIDQ1691424

Yan Xu, Waixiang Cao, Zhimin Zhang, Lingling Zhou

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0362-6

zbMATH Keywords

numerical experimentssuperconvergenceinitial conditionlocal discontinuous Galerkin methodlinear Schrödinger equationcorrection function

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation, Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations, Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives, Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations, Superconvergence analysis of bi-\(k\)-degree rectangular elements for two-dimensional time-dependent Schrödinger equation, Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension, Superconvergence of Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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