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Based on <i>H</i><sup>1</sup>-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

american journal of computational mathematics

Nonconforming &amp;lt;i&amp;gt;H&amp;lt;/i&amp;gt;&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations