A PRIORI L2 ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS Ohm, Mi Ray; Lee, Hyun Young; Shin, Jun Yong;
Based on an expanded mixed finite element method, we consider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on , . We construct the semidiscrete approximations of and as well as u and prove the existence of the semidiscrete approximations. And also we prove the optimal convergence of and as well as u in normed space.
pseudo-parabolic equation;an expanded mixed finite element method;semidiscrete approximations; optimal convergence;
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