Scholarlink

This chapter provides a short introduction to the weighted residual method, which allows to the derive all classical approximations methods in structural engineering. Based on the example of a tensile bar under static loading conditions, the procedure is applied to derive the finite element and the finite difference formulations for this fundamental structural member. The chapter concludes with an application example at which a tensile bar is calculated based on linear and quadratic finite elements as well as based on a finite difference approach.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Short Introduction to the Finite Element and Finite Difference Method in the Context of the Weighted Residual Method

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Andreas Öchsner

摘要

This chapter provides a short introduction to the weighted residual method, which allows to the derive all classical approximations methods in structural engineering. Based on the example of a tensile bar under static loading conditions, the procedure is applied to derive the finite element and the finite difference formulations for this fundamental structural member. The chapter concludes with an application example at which a tensile bar is calculated based on linear and quadratic finite elements as well as based on a finite difference approach.