Muckenhoupt’s weights in some boundary problems of a complex variable

1982 ◽  
pp. 74-85 ◽  
Author(s):  
Joaquim Bruna
Keyword(s):  
Complex Variable ◽  
Boundary Problems

Modeling of process of copying of a ledge form on an electrode-tool at electrochemical machining

2012 ◽  
Vol 9 (2) ◽  
pp. 95-100
Author(s):  
R.R. Muksimova
Keyword(s):  
Conformal Mapping ◽  
Numerical Solution ◽  
Complex Variable ◽  
Electrochemical Machining ◽  
Interelectrode Space ◽  
Electrode Tool ◽  
Boundary Problems ◽  
Analytical Functions ◽  
Definition Of ◽  
Electrochemical Shaping

Problems of modeling of a non-stationary electrochemical shaping are reduced to the solution of two boundary problems for definition of analytical functions of the complex variable: conformal mapping of the parametrical plane on physical and partial derivatives on time of interelectrode space points coordinates. Each of functions is obtained in the form of the sum of known function with singularities and two unknown functions defined by Schwartz or Keldysh – Sedov's formulas. One of unknown functions is intended for the description of a form of an electrode-tool, the second – the processed surface. Results of the numerical solution of problems with an electrode in the form of a circle and a plate are presented.

Numerical treatment of a singularity in a free boundary problem

1972 ◽  
Vol 330 (1583) ◽  
pp. 573-580 ◽  
Keyword(s):  
Free Boundary ◽  
Numerical Solution ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Complex Variable ◽  
Free Boundary Problems ◽  
Separation Point ◽  
Free Boundaries ◽  
Boundary Problems ◽  
A Free Boundary Problem

The numerical solution of free boundary problems gives rise to many computational difficulties. One such difficulty is due to the singularity at the separation point between the fixed and free boundaries. A method is suggested which uses complex variable techniques to determine the shape of the free boundary near to the separation point. This complex variable solution is also used to improve the accuracy of the finite-difference solution in the neighbourhood of the singularity. The analytical study was incorporated into an algorithm for the numerical solution of a particular free boundary problem concerning the percolation of a fluid through a porous dam. Some numerical results for this problem are presented.

Community psychology: Boundary problems, psychological perspectives, and an empirical overview of the field.

1979 ◽  
Vol 34 (6) ◽  
pp. 554-557 ◽  
Author(s):  
John W. Lounsbury ◽  
Michael P. Cook ◽  
Dianne S. Leader ◽  
Ghassan Rubeiz ◽  
Elizabeth P. Meares
Keyword(s):  
Community Psychology ◽  
Boundary Problems

PERIODIC BOUNDARY PROBLEMS FOR SEMI LINEAR DEGENERATE EVOLUTION SYSTEMS OF HIGHER ORDER

1984 ◽  
Vol 4 (2) ◽  
pp. 129-137
Author(s):  
Yulin Zhou ◽  
Hongyuan Fu
Keyword(s):  
Periodic Boundary ◽  
Higher Order ◽  
Boundary Problems ◽  
Linear Degenerate ◽  
Evolution Systems
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