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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。
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来源
- Galerkin, B. G. (1915). Elastic plates and shells. Proceedings of Higher Technical School, Moscow. link ↗
- 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 ↗
- 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
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