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.
关键词
非线性BBMB方程/非协调EQrot1元/半离散格式/向后Euler全离散格式/超逼近和超收敛
Key words
nonlinear BBMB equation/nonconforming EQrot1 element/semi-discrete scheme/euler full discrete scheme/superclose and superconcergence
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