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ABSTRACT.USING THE FINITE ELEMENT METHOD, THE CONVECTION DIFFUSION EQUATION ARE COMMONLY SOLVED USING WEIGHTED RESIDUAL TECHNIQUES THAT ALLOWS TO TURN OR EXPLORE THE CHARACTERISTICS OF SELF-ADJOINT PROBLEMS AND, CONSEQUENTLY, THE PROPERTIES OF FINAL SYMMETRIC MATRIX. ANOTHER ALTERNATIVE USED IS THE ORTOGONALIZATION OF THE RESIDUES WITH SPECIAL WEIGHT FUNCTION (FORMULATION PETROV-GALERKIN, FOR EXAMPLE). IN THIS WORK THE CONVENTIONAL GALERKIN METHOD IS USED TO FORMULATE A FINITE ELEMENT AND TO SOLVE THE UNIDIMENSIONAL CONVECTION DIFFUSION EQUATION. ALTHOUGH THE FINAL ALGEBRAIC EQUATIONS ARE NON-SYMMETRIC, NUMERICAL APPLICATIONS SHOWN THAT ITS EIGENVALUES ARE REAL AND THAT THE OSCILLATORY CHARACTER OF THE APPROACHED SOLUTION ARE PRACTICALLY ELIMINATED WHEN THE MESH PECLET (PE) NUMBER INCREASE.
KEYWORDS: CONVECTION-DIFFUSION, FINITE ELEMENT METHOD
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