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On the Construction of Operators and Bounding Functionals for Dual Extremum Principles
Author(s) -
Smith P.
Publication year - 1979
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19790590207
Subject(s) - bounding overwatch , magnetohydrodynamic drive , mathematics , laplace operator , hamiltonian (control theory) , dual (grammatical number) , boundary value problem , mathematical optimization , mathematical analysis , computer science , physics , magnetohydrodynamics , magnetic field , art , literature , quantum mechanics , artificial intelligence
A method is given for the decomposition of certain boundary‐value problems which contain Laplacian and non‐symmetric operators. For Hamiltonian systems this allows the application of upper and lower bounding functionals of dual extremum principles. The method is illustrated in the context of magnetohydrodynamic duct flow.