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A system of boundary integral equations for polygonal plates with free edges
Author(s) -
Nazaret C.
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19980125)21:2<165::aid-mma943>3.0.co;2-c
Subject(s) - mathematics , biharmonic equation , polygon (computer graphics) , boundary value problem , mathematical analysis , free boundary problem , neumann boundary condition , boundary (topology) , mixed boundary condition , integral equation , telecommunications , frame (networking) , computer science
We consider the problem of a polygonal plate with free edges. It is a boundary value problem for the biharmonic operator on a polygon with Neumann boundary conditions. Its resolution is studied via boundary integral equations. A variational formulation of the boundary problem obtained by a double‐layer potential is given. Finally, we implement the method and give numerical results. © 1998 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.