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Comparison between a finite element and a composite method for a three‐dimensional potential problem
Author(s) -
Trkov A.,
Wood W. L.
Publication year - 1980
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.1620150709
Subject(s) - finite element method , boundary (topology) , mathematical analysis , mathematics , boundary element method , boundary value problem , element (criminal law) , geometry , structural engineering , engineering , political science , law
This paper is concerned with the solution of the three‐dimensional potential problem for electromagnetic river gauging. It extends previous ideas of joining finite elements in an interior region to one infinite external element treated by the boundary integral method 1,2 to this case where there are two external infinite elements representing the river and the ground. The boundary continuity conditions on the infinite river–ground interface, as well as the internal–external interfaces, are dealt with by introducing a variational principle with relaxed continuity requirement 3 .