A PRIORI L² ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS

다국어 초록 (Multilingual Abstract)

Based on an expanded mixed finite element method, we con- sider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on Ω ⊂ R d , 1 ≤ d ≤ 3. We construct the semidiscrete approximations of ∇u and a(u)∇u + b(u)∇u t as well as u and prove the existence of the semidiscrete approximations. And also we prove the optimal convergence of ∇u and a(u)∇u + b(u)∇u t as well as u in L² normed space.

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