一类基于双正交小波的瀑布型多重网格方法

摘要

针对椭圆方程边值问题,提出一类高效的瀑布型多重网格方法.通过结合多分辨分析选取适当的双正交小波滤波器作为插值算子,不仅粗细网格之间的转换是自动的,而且可以得到更高精度的解.同时数值试验验证了结果的可行性.%A new high accurancy algorithm and systems is proposed to deal with the elliptic equations and systems. It is presented on the comparative study between the multiresolution anaylsis. we use a more excellent biorthogonal wavelet scale function filter for constructing prolongation operator, not only the coarse grids and transform operators can be constructed automatically, but also it can obtain higher accuracy solutions. Finally, numerical tests that validate the efficiency of algorithm are presented.