Superconvergence analysis of bi-\(k\)-degree rectangular elements for two-dimensional time-dependent Schrödinger equation
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Publication:1798635
DOI10.1007/s10483-018-2369-9zbMath1398.65227OpenAlexW2883082591MaRDI QIDQ1798635
Publication date: 23 October 2018
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-018-2369-9
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (6)
Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation ⋮ A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods ⋮ Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method ⋮ Two‐grid mixed finite element method for two‐dimensional time‐dependent Schrödinger equation ⋮ Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method ⋮ On the spectrum of an infinite-order differential operator and its relation to Hamiltonian mechanics
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