Displaying similar documents to “A Variational Principle For The Theory Of Laminar Boundary Layers In Incompressible Fluids”

Boundary augmented Lagrangian method for the Signorini problem

Shougui Zhang, Xiaolin Li (2016)

Applications of Mathematics

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An augmented Lagrangian method, based on boundary variational formulations and fixed point method, is designed and analyzed for the Signorini problem of the Laplacian. Using the equivalence between Signorini boundary conditions and a fixed-point problem, we develop a new iterative algorithm that formulates the Signorini problem as a sequence of corresponding variational equations with the Steklov-Poincaré operator. Both theoretical results and numerical experiments show that the method...

Variational principles for parabolic equations

Ivan Hlaváček (1969)

Aplikace matematiky

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New types of variational principles, each of them equivalent to the linear mixed problem for parabolic equation with initial and combined boundary conditions having been suggested by physicists, are discussed. Though the approach used here is purely mathematical so that it makes possible application to all mixed problems of mathematical physics with parabolic equations, only the example of heat conductions is used to show the physical interpretation. The principles under consideration...

The optimization of the stationary heat equation with a variable right-hand side

Ctirad Matyska (1986)

Aplikace matematiky

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Solving the stationary heat equation we optimize the temperature on part of the boundary of the domain under investigation. First the Poisson equation is solved; both the Neumann condition on part of the boundary and the Newton condition on the rest are prescribed, the distribution of the heat sources being variable. In the second case, the heat equation also contains a convective term, the distribution of heat sources is specified and the Neumann condition is variable on part of the...