间断系数抛物方程区域分裂有限元方法  

Domain Decomposition Procedures for Parabolic Equations with Discontinuous Coefficients

作　　者：常洛[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《工程数学学报》2004年第4期585-591,共7页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(批准号:10372052;10271066);国家重点基础研究专项经费(批准号:G1999032803);教育部博士点基金(批准号:20030422047)

摘　　要：考虑了间断系数抛物方程的显隐格式区域分裂有限元方法。在子区域内部应用隐式方法,子区域相邻内边界条件值由一个函数在前层的值给出,从而实现了并行计算。方法在子区域内部和跨越内边界时都保证了问题的守恒性。经过理论分析得到了误差估计并给出了数值算例。Explicit/implicit Procedures based on domain decomposition procedures are considered for approximating solutions of parabolic equations with discontinuous coefficients. Implicit Galerkin procedures are applied in the subdomains, while conditions at inner boundaries are calculated explicitly by a defined function from solution at the previous time level. Thus the parallelism is achieved. The procedures obey the conservative law both in the subdomains and across the inner boundaries of subdomains. Priori error estimates and a numerical experiment are also presented.

关 键 词：显隐格式 区域分裂 间断系数 并行计算 

分 类 号：O241.82[理学—计算数学]