A Lagrangian uniform-mesh finite element method applied to problems governed by Poisson's Equation

被引：0

作者：

Gu, Linxia ^{[1
]}

Kumar, Ashok V. ^{[1
]}

机构：

[1] S Dakota Sch Mine & Technol, Dept Mech Engn, Rapid, SD 57701 USA

来源：

PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION 2007, VOL 8, PTS A AND B: HEAT TRANSFER, FLUID FLOWS, AND THERMAL SYSTEMS | 2008年

关键词：

uniform mesh; implicit solid; step function; Lagrangian formulation;

D O I：

暂无

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A method is presented for the solution of Poisson's Equations using a Lagrangian formulation. The interpolation functions are the Lagrangian operation of those used in the classical finite element method, which automatically satisfy boundary conditions exactly even though there are no nodes on the boundaries of the domain. The integration is introduced in an implicit way by using approximated step functions. Classical surface integration terms used in the weak form are unnecessary due to the interpolation function in the Lagrangian formulation. Furthermore, the Lagrangian formulation simplified the connection between the mesh and the solid structures, thus providing a very easy way to solve the problems without a conforming mesh.

引用

页码：129 / 138

页数：10

共 14 条

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