Machine learningProjection
Galerkin Method
The Galerkin Method is a projection-based variational technique for solving differential equations by reducing infinite-dimensional problems to finite-dimensional linear systems. Developed by Boris Galerkin in 1915 and independently by Ivan Bubnoff, it underpins the Finite Element Method (FEM) and is foundational to modern computational engineering.
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Sources
- 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