Two-grid finite volume element method for the time-dependent Schrödinger equation
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Publication:2074119
DOI10.1016/j.camwa.2022.01.008OpenAlexW4205503007MaRDI QIDQ2074119
Yuzhi Lou, Chuanjun Chen, Hanzhang Hu
Publication date: 4 February 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.01.008
error estimatestime-dependent Schrödinger equationfinite volume element methodtwo-grid methodbackward Euler scheme
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations ⋮ Efficient algorithm based on two-grid method for semiconductor device problem ⋮ Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow ⋮ Numerical analysis of two-dimensional unsaturated soil water flow problems with two-grid finite element methods ⋮ Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation
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