【摘要】 推导出代数多重网格法的一个新的插值公式。理论分析和数值计算表明这个公式很有效,且适用性强。推广了原代数多重网格法的应用范围,能够求解一些很病态的代数方程组。更多还原

【Abstract】 In this paper, we present a new interpolation formula of algebraic multigrid (AM G ). The AMG algorithm with this formula can solve many problems, even very ill-conditioned problems like biharmonic equation and convection-diffusion equation with discontinuous coefficient etc. The theoretical analysis and numerical experiments demonstrate that this formula is very robust and efficient, so we have extended the application range of AMG.更多还原