Discrete conservation and discrete maximum principle for elliptic PDEs

被引：18

作者：

Bertolazzi, E ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Ingn Meccan & Strutturale, Lab Matemat Applicata & Meccan Computaz, I-38050 Trento, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1998年 / 8卷 / 04期

关键词：

D O I：

10.1142/S0218202598000317

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of finite volume numerical schemes for the solution of self-adjoint elliptic equations is described. The main feature of the schemes is that numerical solutions share both discrete conservation and discrete strong maximum principle without restriction on the differential operator or on the volume elements.

引用

页码：685 / 711

页数：27

共 16 条

[11]

Rauch J., 1991, PARTIAL DIFFERENTIAL

[12] WEAK DISCRETE MAXIMUM PRINCIPLE AND STABILITY OF THE FINITE-ELEMENT METHOD IN L-INFINITY ON PLANE POLYGONAL DOMAINS .1. [J].