ELEMENTARY EXACT METHOD FOR SOLVING MIXED BOUNDARY-VALUE PROBLEMS OF POTENTIAL THEORY, WITH APPLICATION TO HALF-PLANE CONTACT AND CRACK PROBLEMS

1994 ◽  
Vol 47 (1) ◽  
pp. 159-174 ◽  
Author(s):  
V. I. FABRIKANT ◽  
E. N. KARAPETIAN
Keyword(s):  
Boundary Value Problems ◽  
Potential Theory ◽  
Half Plane ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Exact Method ◽  
Mixed Boundary Value Problems ◽  
Plane Contact ◽  
Crack Problems

Mixed Boundary Value Problems in Potential Theory

Physics Today ◽  
1968 ◽  
Vol 21 (8) ◽  
pp. 77-79 ◽  
Author(s):  
I. N. Sneddon ◽  
Joseph Gillis
Keyword(s):  
Boundary Value Problems ◽  
Potential Theory ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Mixed Boundary Value Problems

scholarly journals Mixed Boundary-Value Problems in Potential Theory

1979 ◽  
Vol 22 (2) ◽  
pp. 91-98 ◽  
Author(s):  
A. H. England
Keyword(s):  
Boundary Value Problems ◽  
Potential Theory ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Three Dimensional ◽  
Analytical Techniques ◽  
Mixed Boundary Conditions ◽  
Two Dimensional ◽  
Axially Symmetric ◽  
Mixed Boundary Value Problems

The problems associated with finding solutions of Laplace's equation subject to mixed boundary conditions have attracted much attention and, as a consequence, a variety of analytical techniques have been developed for the solution of such problems. Sneddon (1) has given a comprehensive account of these techniques. The object of this note is to draw attention to some simple orthogonal polynomial solutions to the most basic mixed boundary-value problems in two and threedimensional potential theory. These solutions have the advantage that most quantities of physical interest are easily evaluated in terms of known functions. Two-dimensional problems are considered in §2 and axially-symmetric three-dimensional problems in §3.

Sign in / Sign up

Export Citation Format

Share Document