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Adama, Coulibaly
- Numerical Approximation of the Quenching Time for One-Dimensional p-Laplacian with Singular Boundary Flux
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Authors
Affiliations
1 Universit´e Alassane Ouattara de Bouak´e, UFR-SED, 01 BP V 18 Bouak´e 01, CI
2 Universit Flix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, CI
3 Universit´e F´elix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, CI
4 Institut National Polytechnique Houphou¨et-Boigny de Yamoussoukro, BP 2444 Yamoussoukro, CI
1 Universit´e Alassane Ouattara de Bouak´e, UFR-SED, 01 BP V 18 Bouak´e 01, CI
2 Universit Flix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, CI
3 Universit´e F´elix Houphou¨et Boigny d’Abidjan, UFR-MI, 22 BP 582 Abidjan 22, CI
4 Institut National Polytechnique Houphou¨et-Boigny de Yamoussoukro, BP 2444 Yamoussoukro, CI
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 85-104Abstract
This paper concerns the study of the numerical approximation for a discrete non-newtonian filtration system with nonlinear boundary conditions. We find some conditions under which the solution of a discrete form of above problem quenches in a finite time and estimate its discrete quenching time. We also establish the convergence of the discrete quenching time to the theoretical one when the mesh size tends to zero.Keywords
p-Laplacian, Discretization, Singular Boundary Flux, Discrete Quenching Time, Convergence.
References
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- A Numerical Study for a Flexible Euler-Bernoulli Beam with a Force Control in Velocity and a Moment Control in Rotating Velocity
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Authors
Affiliations
1 Institut National Polytechnique Houphout-Boigny de Yamoussoukro, CI
2 Universit Nangui Abrogoua d’Abobo-Adjam, CI
3 Universit Flix Houphout Boigny de Cocody, CI
1 Institut National Polytechnique Houphout-Boigny de Yamoussoukro, CI
2 Universit Nangui Abrogoua d’Abobo-Adjam, CI
3 Universit Flix Houphout Boigny de Cocody, CI
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 125-148Abstract
In this paper, we numerically study a flexible Euler-Bernoulli beam with a force control in velocity and a moment control in rotating velocity. First, we show the existence and uniqueness of the weak solution using Faedo-Galerkin’s method with the intermediate spaces. Then, we use the finite elements method with the cubic Hermite polynomials for the approximation of (1.1)–(1.5) in space such that the semi-discrete scheme obtained is stable and convergent. In addition, an a-priori error estimate is obtained. Finally, we perform numerical simulations in order to validate this method.Keywords
Beam Equation, Existence and Uniqueness, Higher Regularity, Finite Element Method, Galerkin Method, Priori Estimates.References
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