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30 results on '"Loula, Abimael F.D."'

18. Finite element analysis of a coupled thermally dependent viscosity flow problem

Author

Zhu,Jiang, Loula,Abimael F.D., Karam F.,José, and Guerreiro,João N.C.

Subjects
incompressible quasi-Newtonian flow, finite element analysis, thermally coupled Stokes problem
Abstract

In this work, a stationary Stokes flow with thermal effects is studied both mathematically and numerically. First, existence, uniqueness and regularity of the weak solution of the problem are established. Next, finite element approximation to the problem, based on a fixed point algorithm, is proposed. Then, an error estimate between continuous solution and discrete one is obtained. Finally, some numerical tests are presented to confirm the theoretical results.

Published
2007

19. Finite element analysis of a coupled thermally dependent viscosity flow problem

Author

Zhu, Jiang, Loula, Abimael F.D., Karam F., José, and Guerreiro, João N.C.

Subjects
incompressible quasi-Newtonian flow, finite element analysis, thermally coupled Stokes problem
Abstract

In this work, a stationary Stokes flow with thermal effects is studied both mathematically and numerically. First, existence, uniqueness and regularity of the weak solution of the problem are established. Next, finite element approximation to the problem, based on a fixed point algorithm, is proposed. Then, an error estimate between continuous solution and discrete one is obtained. Finally, some numerical tests are presented to confirm the theoretical results.

Published
2007

26. 3D VECTOR POISSON-LIKE PROBLEM WITH A TRIPLET OF INTRINSIC SCALAR BOUNDARY CONDITIONS.

Author

Jiang Zhu, Guermond, Jean-Luc, Loula, Abimael F.D., and Quartapelle, Luigi

Subjects
POISSON processes, SCALAR field theory, BOUNDARY value problems, POISSON'S equation, ELLIPTIC differential equations, DIFFERENTIAL equations
Abstract

In this work, we consider the three-dimensional vector Poisson-like equation supplemented by a nonstandard set of three scalar boundary conditions consisting of the simultaneous specification of the divergence of the unknown, its normal component, and the normal component of its curl on the entire boundary. A weak formulation of this elliptic boundary value problem is proposed. Existence and uniqueness of a solution are established under two compatibility conditions. An uncoupled solution algorithm is introduced together with its finite element approximation. The corresponding error analysis is performed. [ABSTRACT FROM AUTHOR]

Published
2003
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