The finite volume element method with quadratic basis functions

被引：71
|
作者：
Liebau, F
机构：
[1] Fachbereich Mathematik, Techn. Univ. Berlin, D-10623 Berlin
来源：
COMPUTING | 1996年 / 57卷 / 04期
关键词：
finite volume method; box scheme; stability; error estimates;
D O I：
10.1007/BF02252250
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The paper presents a box scheme with quadratic basis functions for the discretisation of elliptic boundary value problems. The resulting discretisation matrix is non-symmetrical (and also not an M-matrix). The stability analysis is based on an elementwise estimation of the scalar product [A(h) u(h), u(h)]. Sufficient conditions placed on the triangles of the triangulation lead to discrete ellipticity. Proof of an O(h(2)) error estimate is given for these conditions.
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页码：281 / 299
页数：19
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