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- W150881515 abstract "Publisher SummaryModern structural analysis relies extensively on the finite element method. Its most popular integral formulation, based on the variational calculus of Euler, is the Principle of minimum total potential energy. It states that the displacement field that satisfies the essential displacement boundary conditions and minimizes the total potential energy is the one that corresponds to the state of static equilibrium. Variational methods or the Calculus of Variations has given a widely used set of tools for equivalent integral formulations. Since that time the variational forms of most elliptic partial differential equations have been known. It has been proved that a variational form and the Galerkin method yield the same integral formulations when a governing variational principle exists. Variational methods have thus been used to solve problems in elasticity, heat transfer, electricity, magnetism, and ideal fluids etc. Thus, it is logical to expect that numerical approximations based on these methods should be very fruitful. They have been very widely employed in elasticity and structural mechanics." @default.
- W150881515 created "2016-06-24" @default.
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- W150881515 date "2005-01-01" @default.
- W150881515 modified "2023-09-26" @default.
- W150881515 title "Variational methods" @default.
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- W150881515 doi "https://doi.org/10.1016/b978-075066722-7/50038-2" @default.
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