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Zbl 1027.65150
Liang, Shengde; Ma, Xiuling; Zhou, Aihui
A symmetric finite volume scheme for selfadjoint elliptic problems.
(English)
[J] J. Comput. Appl. Math. 147, No.1, 121-136 (2002). ISSN 0377-0427

The authors introduce a new symmetric finite volume scheme for a general self-adjoint elliptic boundary value problem. Some relations between finite volume methods and finite difference methods are discussed. Some error estimates are provided for the $L^2$-norm, $H^1$-norm and $L^{\infty}$-norm. Furthermore, post-processing techniques are presented. Finally, some numerical results are performed on two academic cases.
[Xavier Antoine (Toulouse)]
MSC 2000:
*65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65N15 Error bounds (BVP of PDE)

Keywords: finite element; finite volume; post processing; symmetric scheme; comparison of methods; numerical examples; error estimate

Cited in: Zbl 1100.65102

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