A hodographic method for current fields with singularities

FOSLL∗ Method for the Eddy Current Problem with Three-Dimensional Edge Singularities

In the case that the domain has reentrant edges, the standard finite element method loses its global accuracy because of singularities on the boundary. To overcome this difficulty, FOSLL* is applied in this paper. FOSLL* is a methodology for solving PDEs using the dual operator. Here, a modified FOSLL* method is developed that employs a partially weighted functional and allows the use of a stan...

On a high order numerical method for functions with singularities

By splitting a given singular function into a relatively smooth part and a specially structured singular part, it is shown how the traditional Fourier method can be modified to give numerical methods of high order for calculating derivatives and integrals. Singular functions with various types of singularities of importance in applications are considered. Relations between the discrete and the ...

Singularities in Gaussian Random Fields

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

A new method for ideal dose distribution of two adjacent fields for external beam radiation therapy

 Abstract Background: Adjacent treatment fields are commonly used in external beam radiation therapy, such as mantle and inverted-Y fields for the treatment of Hodgkin’s disease and craniospinal fields used in the treatment of medulloblastoma and head and neck tumors when the lateral neck fields are placed adjacent to the anterior supraclavicular field. In each of these situations, there is a p...