Sentence examples for minimizing a functional from inspiring English sources

In 1908, Ritz laid out his famous method for determining frequencies and mode shapes, choosing multiple admissible displacement functions, and minimizing a functional involving both potential and kinetic energies.

Through an iterative process, the unknown boundary is determined by minimizing a functional.

The parameters can be determined adaptively by minimizing a functional which measures the error of the approximation.

The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes.

The locations and strengths of the fundamental solutions are computed by minimizing a functional so as to satisfy the required boundary conditions with highest accuracy.

In this context we determine the reservoir porosity and permeability by minimizing a functional which establishes the difference between the measured values and the analytical values of the mod filtrate concentration in the invaded zone.

The general functional form of Kim et al. [Phys. Rev. B 52 (1995) 1640], which minimizes a functional to obtain the electronic band-structure energy, has been parallelized utilizing the conjugate gradient method.

The uniform parameterization of the domain is achieved by minimizing the Dirichlet energy functional and the orthogonality of mesh is performed by minimizing a dimensionless functional.

An approximating problem of curves is obtained by minimizing a quadratic functional in a suitable space.

The model-based inverse problem is solved by minimizing a cost functional using genetic algorithms.

It consists in minimizing a Gross Pitaevskii functional defined in R2 under the unit mass constraint.