Diao, Qun; Mao, Fengmei A new mixed finite element analysis for pseudo-parabolic intergo-differential equation. (Chinese. English summary) Zbl 1399.65247 J. Chongqing Norm. Univ., Nat. Sci. 34, No. 6, 78-84 (2017). Summary: A new mixed finite element pattern for pseudo-parabolic integro-differential equation is studied. Through Bramble-Hilbert lemma, the spaces of incomplete biquadratic element \(Q_2^- \) and its gradient are explored. A new high precision theory on element is proved. The superclose properties for the primitive variable \(u\) in \({H^1}\)-norm and the intermediate variable \(\boldsymbol{p}\) in \({L^2}\)-norm are obtained respectively for semi-discrete and the backward Euler fully discrete schemes. MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35R09 Integro-partial differential equations 35S11 Initial-boundary value problems for pseudodifferential operators (MSC2010) Keywords:pseudo-parabolic intergo-differential equation; mixed finite element method; Bramble-Hilbert lemma; semi-discrete and fully discrete schemes PDFBibTeX XMLCite \textit{Q. Diao} and \textit{F. Mao}, J. Chongqing Norm. Univ., Nat. Sci. 34, No. 6, 78--84 (2017; Zbl 1399.65247) Full Text: DOI