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A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS
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 Title & Authors
A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR THE CONVECTION DOMINATED SOBOLEV EQUATIONS
OHM, MI RAY; SHIN, JUN YONG;
 
 Abstract
In this paper, we present a split least-squares characteristic mixed finite element method(MFEM) to get the approximate solutions of the convection dominated Sobolev equations. First, to manage both convection term and time derivative term efficiently, we apply a least-squares characteristic MFEM to get the system of equations in the primal unknown and the flux unknown. Then, we obtain a split least-squares characteristic MFEM to convert the coupled system in two unknowns derived from the least-squares characteristic MFEM into two uncoupled systems in the unknowns. We theoretically prove that the approximations constructed by the split least-squares characteristic MFEM converge with the optimal order in L2 and H1 normed spaces for the primal unknown and with the optimal order in L2 normed space for the flux unknown. And we provide some numerical results to confirm the validity of our theoretical results.
 Keywords
Convection dominated Sobolev equations;A split least-squares method;characteristic mixed finite element method;convergence of optimal order;
 Language
English
 Cited by
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