| By introducing the mixed finite element method for Sobolev equation, the corresponding semi-discrete and fully-discrete formulations are presented and theerror estimates are obtained, a series of lower-order elements are constructed.Compared to the finite element methods in the paper [1]~[5], this method takes simpler variational formulation, costs less computation and has higher accuracy .Through analyzing element stiffness matrix., it can be derived that the element stiffness matrixes with displacements are equivalence when flux function selects some different modes in one and two dimension.
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