• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Indian Journal of Science and Technology

Year: 2020, Volume: 7, Issue: Supplementary 3, Pages: 52–54

Original Article

Solution of Weighted Residual Problems by using Galerkin’s Method

Abstract

For simple one-dimensional problems, direct stiffness method is limited. PMPE (Principle of Minimum Potential Energy) is limited to potential problems and FEM (Finite Element Method) can be applied to many engineering problems that are governed by a differential equation. Hence, there are systematic approaches, needed to generate FE equations, such as Weighted Residual method, Energy method and ordinary differential equation (second-order or fourth-order). Weighted residual method can be solved, in particular using Galerkin’s method.

Keywords: Residual, Weighted, Stiffness, FEM, FE, Galerkin’s Method, Differential Equations

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