Error estimates of H^1-Galerkin mixed finite element method for Schrodinger equation |
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| Authors: | LIU Yang LI Hong WANG Jin-feng |
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| Institution: | [1]School of Mathematical Sciences, Inner Mongolia University, Huhhot 010021, China [2]School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot010051, China |
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| Abstract: | An H1-Galerkin mixed finite element method is discussed for a class of second order SchrSdinger equation. Optimal error estimates of semidiscrete schemes are derived for problems in one space dimension. At the same time, optimal error estimates are derived for fully discrete schemes. And it is showed that the H1-Galerkin mixed finite element approximations have the same rate of convergence as in the classical mixed finite element methods without requiring the LBB consistency condition. |
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| Keywords: | H1-Galerkin mixed finite element method Schrodinger equation LBB condition optimal error estimates |
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