APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM
The mathematical models of many engineering problems can often come down to two-dimensional optimization problems,it has been one of the hot issues of seeking the high effective and precision optimizing method.The characteristics of harmonic function and Green theory were used to study the relations...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2018-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.04.021 |
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| _version_ | 1841535545167052800 |
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| author | ZHANG Jing SHI WenPu |
| author_facet | ZHANG Jing SHI WenPu |
| author_sort | ZHANG Jing |
| collection | DOAJ |
| description | The mathematical models of many engineering problems can often come down to two-dimensional optimization problems,it has been one of the hot issues of seeking the high effective and precision optimizing method.The characteristics of harmonic function and Green theory were used to study the relations between the values of harmonic function and its boundary values,and demonstrate the non-locality of its extreme value.When the objective function of the optimization is harmonic function,the two-dimensional optimization can be simplified as a one-dimensional optimization on the boundary of its feasible region.At last,three examples were given to show the feasibility of the method here.The research ideas and the conclusions can be generalized to the solution of the three-dimensional optimization problems. |
| format | Article |
| id | doaj-art-722363fd5b444b1984795a31549dc6f1 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2018-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-722363fd5b444b1984795a31549dc6f12025-01-15T02:31:38ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692018-01-014089089430602238APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEMZHANG JingSHI WenPuThe mathematical models of many engineering problems can often come down to two-dimensional optimization problems,it has been one of the hot issues of seeking the high effective and precision optimizing method.The characteristics of harmonic function and Green theory were used to study the relations between the values of harmonic function and its boundary values,and demonstrate the non-locality of its extreme value.When the objective function of the optimization is harmonic function,the two-dimensional optimization can be simplified as a one-dimensional optimization on the boundary of its feasible region.At last,three examples were given to show the feasibility of the method here.The research ideas and the conclusions can be generalized to the solution of the three-dimensional optimization problems.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.04.021Two-dimension optimization problemHarmonic functionFeasible region boundaryMaximumOne-dimensional search |
| spellingShingle | ZHANG Jing SHI WenPu APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM Jixie qiangdu Two-dimension optimization problem Harmonic function Feasible region boundary Maximum One-dimensional search |
| title | APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM |
| title_full | APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM |
| title_fullStr | APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM |
| title_full_unstemmed | APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM |
| title_short | APPLICATION OF HARMONIC FUNCTION’S THEORY IN TWO-DIMENSION OPTIMIZATION PROBLEM |
| title_sort | application of harmonic function s theory in two dimension optimization problem |
| topic | Two-dimension optimization problem Harmonic function Feasible region boundary Maximum One-dimensional search |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2018.04.021 |
| work_keys_str_mv | AT zhangjing applicationofharmonicfunctionstheoryintwodimensionoptimizationproblem AT shiwenpu applicationofharmonicfunctionstheoryintwodimensionoptimizationproblem |