| 运用Poincaré-Miranda定理数值验证变分不等式解的存在性 |
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| 引用本文： | 江正华,牛欣,朱楚. 运用Poincaré-Miranda定理数值验证变分不等式解的存在性[J]. 计算数学, 2021, 43(1): 56-69. DOI: 10.12286/jssx.j2019-0582 |
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| 作者姓名： | 江正华 牛欣 朱楚 |
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| 作者单位： | 南京大学数学系,南京210093;合肥学院数学与物理系,合肥230601 |
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| 基金项目： | 江苏省优势学科(南京大学数学学科)项目;江苏省高等教育实验教学示范中心建设专项经费 |
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| 摘 要： | 本文运用Poincaré-Miranda定理数值验证变分不等式问题解的存在性.证明这一新方法相对于已有的方法更具有普遍性,并通过数值例子说明本方法的高效性.
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| 关 键 词： | 变分不等式 Poincaré-Miranda定理 数值验证 解的存在性 |
| 收稿时间： | 2019-04-02 |
NUMERICAL VALIDATION OF THE EXISTENCE OF SOLUTIONS FOR VARIATIONAL INEQUALITY PROBLEM VIA POINCAR(E)-MIRANDA THEOREM |
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| Jiang Zhenghua,Niu Xin,Zhu Chu. NUMERICAL VALIDATION OF THE EXISTENCE OF SOLUTIONS FOR VARIATIONAL INEQUALITY PROBLEM VIA POINCAR(E)-MIRANDA THEOREM[J]. Mathematica Numerica Sinica, 2021, 43(1): 56-69. DOI: 10.12286/jssx.j2019-0582 |
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| Authors: | Jiang Zhenghua Niu Xin Zhu Chu |
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| Affiliation: | 1. Department of Mathematics, Nanjing University, Nanjing 210093, China;2. Department of Mathematics, Hefei University, Hefei 230601, China |
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| Abstract: | In this paper,by using the Poincaré-Miranda theorem,we establish a numerical method to validate the existence of solutions for variational inequality problem.It is proved that this new method is more universal than the existing methods.Numerical experiments show the efficiency of the method. |
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| Keywords: | variational inequality the Poincaré-Miranda theorem numerical validation existence of solution |
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