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• W3166026265 abstract "A space-time Trefftz discontinuous Galerkin method for the Schrodinger equation with piecewise-constant potential is proposed and analyzed. Following the spirit of Trefftz methods, trial and test spaces are spanned by non-polynomial complex wave functions that satisfy the Schrodinger equation locally on each element of the space-time mesh. This allows to significantly reduce the number of degrees of freedom in comparison with full polynomial spaces. We prove well-posedness and stability of the method, and, for the one- and two-dimensional cases, optimal, high-order, $h$-convergence error estimates in a skeleton norm. Some numerical experiments validate the theoretical results presented." @default.
• W3166026265 created "2021-06-22" @default.
• W3166026265 creator A5045318480 @default.
• W3166026265 creator A5046924251 @default.
• W3166026265 date "2021-06-08" @default.
• W3166026265 modified "2023-09-27" @default.
• W3166026265 title "A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation." @default.
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