半线性椭圆方程的有限元分裂外推  

Splitting Extrapolation for Solving Semi-Linear Elliptic Equation by Finite Element

作　　者：郑克龙[1] 

机构地区：[1]西南科技大学理学院,四川绵阳621010

出　　处：《电子科技大学学报》2007年第S1期431-433,共3页Journal of University of Electronic Science and Technology of China

摘　　要：针对曲边界上的二阶半线性椭圆方程,进行了区域分解和双二次等参数变换,构造出了相应的离散变分形式并利用有限元分裂外推求其数值解的数值计算方法,得到了数值解误差的四阶多参数渐近展开式.数值算例也说明了该方法计算量小、精度高的特点.By introducing the decomposition and two-quadratic isoparametric transformation for second order semi-linear elliptic equation with curved boundary,the corresponding discrete variational formulation is derived and four-order multiparameter asymptotic expansions of the error are obtained for the numerical solution that obtained by splitting extrapolation by finite element.Numerical experiment shows that the algorithm has less computation and higher accuracy.

关 键 词：区域分解 有限元 半线性 分裂外推 

分 类 号：O241.82[理学—计算数学]