Improved difference schemes for the Dirichlet problem of Poisson's equation in the neighbourhood of corners

التفاصيل البيبلوغرافية
العنوان: Improved difference schemes for the Dirichlet problem of Poisson's equation in the neighbourhood of corners
المؤلفون: Zenger, C., Gietl, H.
المصدر: Numerische Mathematik; September 1978, Vol. 30 Issue: 3 p315-332, 18p
مستخلص: Summary The standard 5-point difference scheme for the model problem ?u=f on a special polygonal domain with given boundary values is modified at a few points in the neighbourhood of the corners in such a way that the order of convergence at interior points is the same as in the case of a smooth boundary. As a side result improved error bounds for the usual method in the neighbourhood of corners are given.
قاعدة البيانات: Supplemental Index
الوصف
تدمد:0029599X
09453245
DOI:10.1007/BF01411846