Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation
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Publication:2031867
DOI10.1007/s10915-021-01510-2zbMath1476.65259OpenAlexW3157130641MaRDI QIDQ2031867
Yun-Bo Yang, Bo-Hao Yu, Yao-Lin Jiang
Publication date: 15 June 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01510-2
finite element methodoptimal error estimatesKlein-Gordon-Schrödinger equationslinearized methodconservative schemesunconditional convergence
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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