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Finite element method for the hydrodynamic dispersion equation with mixed partial derivatives
Author(s) -
Nalluswami M.,
Longenbaugh R. A.,
Sunada D. K.
Publication year - 1972
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr008i005p01247
Subject(s) - partial differential equation , dispersion (optics) , mathematics , mathematical analysis , polynomial , partial derivative , finite element method , dispersive partial differential equation , physics , thermodynamics , optics
A ‘functional’ is developed for the two‐dimensional hydrodynamic dispersion equation that has mixed partial derivatives. The dispersion coefficients are treated as second order symmetric tensors. The concentration of the dispersing tracer is assumed to be given by a linear polynomial. The functional is minimized, and the result is a set of simultaneous first order linear differential equations that can be solved by suitable numerical procedures.