RT Journal Article
ID 00642f3b10f058cf
A1 Siryk, Sergey V.
A1 Salnikov, Nikolay N.
A1 Tereshchenko, Igor A.
T1 On Construction of Finite-Dimensional Mathematical Model of Convection−Diffusion Process with Usage of the Petrov−Galerkin Method
JF Journal of Automation and Information Sciences
JO JAI(S)
YR 2010
FD 2010-07-06
VO 42
IS 6
SP 67
OP 83
K1 construction of piecewise-polynomial weighting functions
K1 Petrovâ€“Galerkin method
K1 two-dimensional domain
K1 finite number of variable parameters
K1 construction of finite-dimensional model
K1 nonstationary process
K1 convection-diffusion
K1 arbitrary domain
K1 ordinary differential
AB We proposed technique of construction of piecewise-polynomial weighting functions for the Petrov−Galerkin method in two-dimensional domain. The form of these functions is defined by finite number of variable parameters, connected with grid edges. We consider several variants of selection of these parameters depending on the modulus and direction of the vector of advection rate. The method of construction of finite-dimensional model of nonstationary process of convection-diffusion for arbitrary domain in the form of system of ordinary differential equations was proposed. Accuracy of the obtained model is ascertained by comparison of numerical and analytical solutions of a testing problem.
PB Begell House
LK http://dl.begellhouse.com/journals/2b6239406278e43e,7c17eac404c33891,00642f3b10f058cf.html