Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions
The present paper deals with a generalization of the alternating-direction implicit (ADI) method for the two-dimensional nonlinear Poisson equation in a rectangular domain with integral boundary condition in one coordinate direction. The analysis of results of computational experiments is presented....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2011-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14107 |
| _version_ | 1819024144229990400 |
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| author | Mifodijus Sapagovas Olga Štikonienė |
| author_facet | Mifodijus Sapagovas Olga Štikonienė |
| author_sort | Mifodijus Sapagovas |
| collection | DOAJ |
| description | The present paper deals with a generalization of the alternating-direction implicit (ADI) method for the two-dimensional nonlinear Poisson equation in a rectangular domain with integral boundary condition in one coordinate direction. The analysis of results of computational experiments is presented. |
| first_indexed | 2024-12-21T04:50:07Z |
| format | Article |
| id | doaj.art-c8e3f97feaba41379ba71e3a6044ef8f |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-21T04:50:07Z |
| publishDate | 2011-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-c8e3f97feaba41379ba71e3a6044ef8f2022-12-21T19:15:28ZengVilnius University PressNonlinear Analysis1392-51132335-89632011-04-01162Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditionsMifodijus Sapagovas0Olga Štikonienė1Vilnius University, LithuaniaVilnius University, LithuaniaThe present paper deals with a generalization of the alternating-direction implicit (ADI) method for the two-dimensional nonlinear Poisson equation in a rectangular domain with integral boundary condition in one coordinate direction. The analysis of results of computational experiments is presented.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14107elliptic equationnonlocal integral conditionsfinite-difference methodalternating-direction methodconvergence of iterative method |
| spellingShingle | Mifodijus Sapagovas Olga Štikonienė Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions Nonlinear Analysis elliptic equation nonlocal integral conditions finite-difference method alternating-direction method convergence of iterative method |
| title | Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions |
| title_full | Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions |
| title_fullStr | Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions |
| title_full_unstemmed | Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions |
| title_short | Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions |
| title_sort | alternating direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions |
| topic | elliptic equation nonlocal integral conditions finite-difference method alternating-direction method convergence of iterative method |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14107 |
| work_keys_str_mv | AT mifodijussapagovas alternatingdirectionmethodforamildlynonlinearellipticequationwithnonlocalintegralconditions AT olgastikoniene alternatingdirectionmethodforamildlynonlinearellipticequationwithnonlocalintegralconditions |