Premium
Integral equation method for solution of boundary value problems of structural mechanics, Part II. Elliptic partial diffeerential equations
Author(s) -
Hajdin Nikola,
Krajcinovic Dusan
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620040407
Subject(s) - mathematics , simplicity , partial differential equation , domain (mathematical analysis) , boundary value problem , mathematical analysis , equidistant , integral equation , net (polyhedron) , geometry , physics , quantum mechanics
The method presented in Part I of this paper 1 is extended to problems governed by a system of partial differential equations. The basic clarity and simplicity of the method is preserved. The domain of integration is covered by a net of orthogonal (not necessarily equidistant) straight lines. Choosing again highest derivatives with respect to each of the co‐ordinates as unknowns, it is possible to reduce the problem to a system of integral equations along the lines of the adopted net. The subsequent procedure is basically the same as in Part I. The results prove to be of remarkable accuracy even for very coarse nets.