Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems
DOI10.1002/num.21759zbMath1273.65150arXiv1204.3807OpenAlexW2120080765WikidataQ54889267 ScholiaQ54889267MaRDI QIDQ2846186
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Publication date: 5 September 2013
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.3807
algorithmLaplace transformnumerical examplewave equationfinite elementserror boundsSchrödinger equationnonreflecting boundary conditiontransparent boundary conditiondrift diffusion equationpole conditionKlein Gordon equation
Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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