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

1. 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

2. 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

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