Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System

DOI10.1002/zamm.19960760103zbMath0864.65062OpenAlexW2085799687MaRDI QIDQ5689888

Reinhard Illner, Sean Bohun, Horst Lange, Paul F. Zweifel

Publication date: 24 June 1997

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1828/1735

zbMATH Keywords

convergenceerror estimatesGalerkin approximationWigner distribution functionperiodic Schrödinger-Poisson problem

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 (9)

Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrödinger-Helmholtz system ⋮ Semi-classical limit of Schrödinger--Poisson equations in space dimension \(n\geqslant 3\) ⋮ An overview of Schrödinger-Poisson problems ⋮ Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system ⋮ Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrödinger-Helmholtz equations ⋮ A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems ⋮ Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations ⋮ Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation ⋮ Stationary solutions of quasi-linear Schrödinger-Poisson systems

Cites Work

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