摘要
讨论了一类非对称奇异两点边值问题有限元解的渐近展开式,得到了与非奇异问题类似的渐近展开式,并且给出了余项接近于奇点时的渐近性态,从而Richardson外推法可以用来提高有限元解的精度。
In this paper the author discusses the Galerkin approximationfor a class of nonsymmetric singular two-point boundary value problems.The asymptotic expansion of the error is obtained.The author have alsogiven the behavior of the remainder near singularity.Therefore Richardsonextrapo-tation can be used to increase the accuracy of the finite elementsolution
出处
《湘潭大学自然科学学报》
CAS
CSCD
1992年第1期8-15,共8页
Natural Science Journal of Xiangtan University
关键词
奇异问题
非对称
有限元
渐近展式
nonsymmetric singular problem
finite element
asymptotic expansion
