In this paper,we study the nonconforming finite element method for the Benjamin-Bona-Mahony-Burgers(BBMB for short)equation.By use of the special property of the nonconforming EQrot1 element:the consistency error is one order higher than its interpolation error,the superclose and superconcergence results in semi-discrete and Euler full discrete schemes are obtained for this equation.Finally,a numerical example is provided to illustrate validity and efficiency of our theoretical analysis and method.
nonlinear BBMB equationnonconforming EQrot1 elementsemi-discrete schemeeuler full discrete schemesuperclose and superconcergence
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