GENERAL MESH FINITE-DIFFERENCE METHOD USING COMBINED NODAL AND ELEMENTAL INTERPOLATION

被引：3

作者：

MULLORD, P

机构：

[1] Department of Civil Engineering, University of Nottingham, Nottingham

来源：

APPLIED MATHEMATICAL MODELLING | 1979年 / 3卷 / 06期

关键词：

D O I：

10.1016/S0307-904X(79)80026-8

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper describes a general mesh finite difference method for the numerical solution of boundary value problems. The method is based on the combined use of finite difference style nodal interpolation and finite element style elemental interpolation. A least squares surface fitting technique is employed at the nodal interpolation stage. Examples are constructed for the triangular mesh, flat plate bending case using the principle of minimum total potential energy. The patch test can be satisfied and very high accuracy is demonstrated with few degrees of freedom. The method appears to have potential in a wide range of problems including difficult ones such as the analysis of discretely stiffened shells. The method can be implemented efficiently on modern computers. © 1979 IPC Business Press Ltd.

引用

页码：433 / 440

页数：8

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