Finite element estimates for a class of nonlinear variational inequalities
It is well known that a wide class of obstacle and unilateral problems arising in pure and applied sciences can be studied in a general and unifield framework of variational inequalities. In this paper, we derive the error estimates for the finite element approximate solution for a class of highly n...
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| Format: | Article |
| Language: | English |
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Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000614 |
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| _version_ | 1832545674811408384 |
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| author | Muhammad Aslam Noor |
| author_facet | Muhammad Aslam Noor |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | It is well known that a wide class of obstacle and unilateral problems arising in
pure and applied sciences can be studied in a general and unifield framework of variational
inequalities. In this paper, we derive the error estimates for the finite element approximate
solution for a class of highly nonlinear variational inequalities encountered in the field of
elasticity and glaciology in terms of W1,p(Ω) and Lp(Ω)-norms. As a special case, we obtain the
well-known error estimates for the corresponding linear obstacle problem and nonlinear problems. |
| format | Article |
| id | doaj-art-d127af6c1b124ce893d86c3f0e228821 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d127af6c1b124ce893d86c3f0e2288212025-02-03T07:25:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116350350910.1155/S0161171293000614Finite element estimates for a class of nonlinear variational inequalitiesMuhammad Aslam Noor0Mathematics Department, College of Science, P.O. Box 2455, King Saud University, Riyadh 11421, Saudi ArabiaIt is well known that a wide class of obstacle and unilateral problems arising in pure and applied sciences can be studied in a general and unifield framework of variational inequalities. In this paper, we derive the error estimates for the finite element approximate solution for a class of highly nonlinear variational inequalities encountered in the field of elasticity and glaciology in terms of W1,p(Ω) and Lp(Ω)-norms. As a special case, we obtain the well-known error estimates for the corresponding linear obstacle problem and nonlinear problems.http://dx.doi.org/10.1155/S0161171293000614 |
| spellingShingle | Muhammad Aslam Noor Finite element estimates for a class of nonlinear variational inequalities International Journal of Mathematics and Mathematical Sciences |
| title | Finite element estimates for a class of nonlinear variational inequalities |
| title_full | Finite element estimates for a class of nonlinear variational inequalities |
| title_fullStr | Finite element estimates for a class of nonlinear variational inequalities |
| title_full_unstemmed | Finite element estimates for a class of nonlinear variational inequalities |
| title_short | Finite element estimates for a class of nonlinear variational inequalities |
| title_sort | finite element estimates for a class of nonlinear variational inequalities |
| url | http://dx.doi.org/10.1155/S0161171293000614 |
| work_keys_str_mv | AT muhammadaslamnoor finiteelementestimatesforaclassofnonlinearvariationalinequalities |