Convergence of Exponential Penalty Function Method for Variational Problems

被引：1
|
作者：
Jayswal, Anurag [1 ]
Choudhury, Sarita [1 ,2 ]
机构：
[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Jharkhand, India
[2] Sci Coll Autonomous, Dept Math, Ganjam 761102, Odisha, India
来源：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2019年 / 89卷 / 03期
关键词：
Exponential penalty function method; Variational problem; Convergence; OPTIMIZATION PROBLEMS;
D O I：
10.1007/s40010-018-0485-7
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we propose an exponential penalty function method in order to solve a constrained variational problem by transforming it into a sequence of unconstrained ones. Further, we analyze the relationship between the optimal solutions of the sequence of exponential penalized variational problems and that of the original constrained variational problem. The convergence of this exponential penalty method is also examined for variational problems. Numerical examples are provided to verify the obtained results and validate the efficient use of exponential penalty method for solving constrained variational problems.
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页码：517 / 524
页数：8
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