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A. K. Pani, “An H¹-Galerkin Mixed Finite Element Methods for Parabolic Partial Differential Equations,” SIAM Journal on Numerical Analysis, Vol. 35, No. 2, 1998, pp. 721-727. doi:10.1137/S0036142995280808

has been cited by the following article:

• TITLE: Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations

  AUTHORS: Yadong Zhang, Yuqi Niu, Dongwei Shi

  KEYWORDS: Pseudo-Hyperbolic Equation; Nonconforming; H1-Galerkin Mixed Finite Element; Error Estimate

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.4, December 18, 2012

  ABSTRACT: Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral meshes. The corresponding optimal order error estimate is derived by the interpolation technique instead of the generalized elliptic projection which is necessary for classical error estimates of finite element analysis.