Error estimates for the finite element solutions of variational inequalities
For piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u−uh in the W1,2-norm is of order h.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000410 |
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| _version_ | 1832549317020221440 |
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| author | M. Aslam Noor |
| author_facet | M. Aslam Noor |
| author_sort | M. Aslam Noor |
| collection | DOAJ |
| description | For piecewise linear approximation of variational inequalities associated
with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u−uh in the W1,2-norm is of order h. |
| format | Article |
| id | doaj-art-8c422ce3b0454ccca748eee8ed459ba1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8c422ce3b0454ccca748eee8ed459ba12025-02-03T06:11:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014356557010.1155/S0161171281000410Error estimates for the finite element solutions of variational inequalitiesM. Aslam Noor0Mathematics Department, Islamia University, Bahawalpur, PakistanFor piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u−uh in the W1,2-norm is of order h.http://dx.doi.org/10.1155/S0161171281000410 |
| spellingShingle | M. Aslam Noor Error estimates for the finite element solutions of variational inequalities International Journal of Mathematics and Mathematical Sciences |
| title | Error estimates for the finite element solutions of variational inequalities |
| title_full | Error estimates for the finite element solutions of variational inequalities |
| title_fullStr | Error estimates for the finite element solutions of variational inequalities |
| title_full_unstemmed | Error estimates for the finite element solutions of variational inequalities |
| title_short | Error estimates for the finite element solutions of variational inequalities |
| title_sort | error estimates for the finite element solutions of variational inequalities |
| url | http://dx.doi.org/10.1155/S0161171281000410 |
| work_keys_str_mv | AT maslamnoor errorestimatesforthefiniteelementsolutionsofvariationalinequalities |