João B. Campos Silva | Universidade Estadual Paulista "Júlio de Mesquita Filho" (original) (raw)

João B. Campos Silva

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Papers by João B. Campos Silva

Research paper thumbnail of ANALYSIS OF ERROR IN THE SOLUTION OF THE TWO-DIMENSIONAL DIFFUSION EQUATION BY FINITE ELEMENT METHODS

Abstract. This work presents a numerical solution of the two-dimensional diffusion equation in co... more Abstract. This work presents a numerical solution of the two-dimensional diffusion
equation in comparison with the analytical solution. The norms L2 and L1 of the
error are evaluated for two variants of the finite element method: the Galerkin
Finite Element Method (GFEM) and the Least-Squares Finite Element Method
(LSFEM). Two applications are presented and discussed.
Keywords. GFEM, LSFEM, Diffusion Equation

Research paper thumbnail of A COMPARISON OF TIME DISCRETIZATION METHODS IN THE SOLUTION OF A PARABOLIC EQUATION

Abstract: The main goal of this work is to present in a didactic way a comparison of analytical a... more Abstract: The main goal of this work is to present in a didactic way a comparison of analytical and numerical solutions of a transient one-dimensional heat transfer problem. So, the solution of a parabolic equation has been done with discretization in space by the Central Finite ...

Research paper thumbnail of ANALYSIS OF ERROR IN THE SOLUTION OF THE TWO-DIMENSIONAL DIFFUSION EQUATION BY FINITE ELEMENT METHODS

This work presents a numerical solution of the two-dimensional diffusion equation in comparison w... more This work presents a numerical solution of the two-dimensional diffusion equation in comparison with the analytical solution. The norms L2 and L∞ of the error are evaluated for two variants of the finite element method: the Galerkin Finite Element Method (GFEM) and the Least-Squares Finite Element Method (LSFEM). Two applications are presented and discussed.

Research paper thumbnail of ANALYSIS OF ERROR IN THE SOLUTION OF THE TWO-DIMENSIONAL DIFFUSION EQUATION BY FINITE ELEMENT METHODS

Abstract. This work presents a numerical solution of the two-dimensional diffusion equation in co... more Abstract. This work presents a numerical solution of the two-dimensional diffusion
equation in comparison with the analytical solution. The norms L2 and L1 of the
error are evaluated for two variants of the finite element method: the Galerkin
Finite Element Method (GFEM) and the Least-Squares Finite Element Method
(LSFEM). Two applications are presented and discussed.
Keywords. GFEM, LSFEM, Diffusion Equation

Research paper thumbnail of A COMPARISON OF TIME DISCRETIZATION METHODS IN THE SOLUTION OF A PARABOLIC EQUATION

Abstract: The main goal of this work is to present in a didactic way a comparison of analytical a... more Abstract: The main goal of this work is to present in a didactic way a comparison of analytical and numerical solutions of a transient one-dimensional heat transfer problem. So, the solution of a parabolic equation has been done with discretization in space by the Central Finite ...

Research paper thumbnail of ANALYSIS OF ERROR IN THE SOLUTION OF THE TWO-DIMENSIONAL DIFFUSION EQUATION BY FINITE ELEMENT METHODS

This work presents a numerical solution of the two-dimensional diffusion equation in comparison w... more This work presents a numerical solution of the two-dimensional diffusion equation in comparison with the analytical solution. The norms L2 and L∞ of the error are evaluated for two variants of the finite element method: the Galerkin Finite Element Method (GFEM) and the Least-Squares Finite Element Method (LSFEM). Two applications are presented and discussed.

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