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Title: Complementary and dual finite element principles
Author: Fraser, J. R.
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 1982
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This thesis is concerned with the development and application of complementary and dual finite element principles for engineering field problems. A mathematically rigorous development of complementary variational principles is given by using pure functional analysis techniques. This approach is also related to the earlier methods which have been used to establish complementary variational principles. The mathematical structure which is necessary in order for complementary variational principles to be constructed is shown to exist in many field problems of mathematical physics. Therefore, complementary variational principles can have a wide range of applicability. Complementary finite element principles are established and tested for several two-dimensional static engineering field problems and upper and lower bounds for the energy of the field are established. The task of constructing complementary variational principles for dynamic field problems is also studied and complementary finite element principles for steady state two-dimensional eddy current problems are established. The difficulties involved in establishing complementary finite element principles for three-dimensional static field problems are also discussed.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available