曲边界上一类双曲型方程的d-二次等参有限元的分裂外推法  

Splitting Extrapolation by d-Quadratic Isoparametric Finite Element for a Class of Hyperbolic Equations with Curved Boundary

作　　者：胡劲松[1] 

机构地区：[1]西华大学数学与计算机学院,成都610039

出　　处：《西南大学学报（自然科学版）》2008年第3期6-9,共4页Journal of Southwest University(Natural Science Edition)

摘　　要：给出了曲边界上二阶线性双曲型方程的基于区域分解和d-二次等参有限元的分裂外推算法,得到半离散问题和全离散问题的多参数渐近展开式,并用数值算例验证了方法的有效性.A splitting extrapolation based on decomposition and d-quadratic isoparametric finite element for solving linear hyperbolic equations with curved boundary is presented and multr-parameter asymptotic expansions of the error of the semi-discrete and fully-discrete finite element scheme are obtained. Numerical experiment shows that the algorithm is effective.

关 键 词：双曲型方程 分裂外推 区域分解 

分 类 号：O242.21[理学—计算数学]