ScholarGate
助手
Machine learningProjection

伽辽金法

伽辽金法(Galerkin Method)是一种基于投影的变分技术,通过将无限维问题简化为有限维线性系统来求解微分方程。该方法由Boris Galerkin于1915年提出,并由Ivan Bubnoff独立发展,它是有限元法(FEM)的基础,也是现代计算工程的基石。

在 MethodMind 中打开即将推出视频即将推出Download slides

阅读完整方法

仅限会员

使用免费账户登录即可阅读本节。

登录

Method map

The neighbourhood of related methods — select a node to explore.

伽辽金法
谱方法

来源

  1. Galerkin, B. G. (1915). Elastic plates and shells. Proceedings of Higher Technical School, Moscow. link
  2. Bubnoff, I. G. (1913). The application of the method of integral equations to the solutions of problems of elastic equilibrium of shells. Izvestiya Rossiiskoi Akademii Nauk, 4, 1311–1330. link
  3. Reddy, J. N. (1993). An Introduction to the Finite Element Method (2nd ed.). McGraw-Hill. ISBN: 0070513554

如何引用本页

ScholarGate. (2026, June 3). Galerkin Method for Finite-Dimensional Approximation. ScholarGate. https://scholargate.app/zh/numerical-methods/galerkin-method

Which method?

Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.

Compare side by side

被引用于

ScholarGateGalerkin Method (Galerkin Method for Finite-Dimensional Approximation). 于 2026-06-15 检索自 https://scholargate.app/zh/numerical-methods/galerkin-method · 数据集: https://doi.org/10.5281/zenodo.20539026