Premium
Improved linear trial function finite element model of soil moisture transport
Author(s) -
Hromadka T. V.,
Guymon G. L.
Publication year - 1981
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/wr017i003p00504
Subject(s) - finite element method , galerkin method , linear approximation , mathematics , matrix (chemical analysis) , function (biology) , mixed finite element method , mathematical analysis , physics , nonlinear system , materials science , evolutionary biology , biology , quantum mechanics , composite material , thermodynamics
Two methods of modeling a higher‐order approximation function of soil moisture transport by an improved linear trial function approximation are presented. The first approach considered is based upon use of the alternation theorem and a finite element capacitance matrix that incorporates the Galerkin finite element, subdomain, finite difference, and proposed nodal domain integration methods. The second approach extends the first approach by developing a temporal relationship for element matrices such that a higher‐order approximation function can be modeled by a linear approximation function. Comparison of model results produced from a nodal domain integration model incorporating these improved linear trial function approximations to the finite element, subdomain, and finite difference methods indicates that this approach may lead to a generalized modeling method for soil moisture transport problems.