WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition
The objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition called CA,B boundary condition. Along with the us...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/4879723 |
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| _version_ | 1832567443870973952 |
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| author | Ouadie Koubaiti Ahmed Elkhalfi Jaouad El-mekkaoui |
| author_facet | Ouadie Koubaiti Ahmed Elkhalfi Jaouad El-mekkaoui |
| author_sort | Ouadie Koubaiti |
| collection | DOAJ |
| description | The objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition called CA,B boundary condition. Along with the usual weak mixed formulation, we give existence and uniqueness results for weak solution. Then, we illustrate the performance of Ritz–Galerkin schemes for a model problem and applications in linear elasticity. Finally, we discuss several implementation aspects. The numerical tests confirm that, due to the new integration routines, the weighted B-spline solvers have become considerably more efficient. |
| format | Article |
| id | doaj-art-44ddc02758974011aa5fa9bf9d5ec509 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-44ddc02758974011aa5fa9bf9d5ec5092025-02-03T01:01:31ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/48797234879723WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary ConditionOuadie Koubaiti0Ahmed Elkhalfi1Jaouad El-mekkaoui2Department of Mechanical Engineering, Faculty of Sciences and Technics, Fez, MoroccoDepartment of Mechanical Engineering, Faculty of Sciences and Technics, Fez, MoroccoFaculty Polydisciplinary of Beni-Mellal, MoroccoThe objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition called CA,B boundary condition. Along with the usual weak mixed formulation, we give existence and uniqueness results for weak solution. Then, we illustrate the performance of Ritz–Galerkin schemes for a model problem and applications in linear elasticity. Finally, we discuss several implementation aspects. The numerical tests confirm that, due to the new integration routines, the weighted B-spline solvers have become considerably more efficient.http://dx.doi.org/10.1155/2020/4879723 |
| spellingShingle | Ouadie Koubaiti Ahmed Elkhalfi Jaouad El-mekkaoui WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition Abstract and Applied Analysis |
| title | WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition |
| title_full | WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition |
| title_fullStr | WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition |
| title_full_unstemmed | WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition |
| title_short | WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition |
| title_sort | web spline finite elements for the approximation of navier lame system with ca b boundary condition |
| url | http://dx.doi.org/10.1155/2020/4879723 |
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