论文信息 - Error estimates of H1-Galerkin mixed finite element method for Schrödinger equation

Error estimates of H1-Galerkin mixed finite element method for Schrödinger equation

An H1-Galerkin mixed finite element method is discussed for a class of second order Schrödinger 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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