The Helmholtz Equation in Domains Bounded by Closed Curves and Open Arcs

机译：由闭合曲线和开放弧线的域中的亥姆霍兹方程

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Boundary value problems for the Helmholtz equation in domains bounded by closed curves and open arcs arereduced to the uniquely solvable Fredholm integral equations of the second kind and index zero. Integral representationof the solutions of boundary value problems are obtained in the form of potentials.

机译：由闭合曲线界限界限的亥姆霍兹方程的边值问题，并持续到第二种索引零的唯一可解性Fredholm积分方程。边值问题解决方案的积分表示以潜在的形式获得。

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《International Conference on Numerical Analysis and Applied Mathematics》|2008年||共3页
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作者
P. A. Krutitskii; N. Ch. Krutitskaya;
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中图分类 O241-532;
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Boundary integral equations; open screens; wave scattering;

机译：边界积分方程;打开屏幕;波散射;

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专利

1. The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves [J] . P. A.Krutitskii International journal of mathematics and mathematical sciences . 1998,第2期

机译：二维Helmholtz方程在区域中的诺伊曼问题，以封闭和开放曲线为边界
2. Penalty Factor Threshold and Time Step Bound Estimations for Discontinuous Galerkin Time-Domain Method Based on Helmholtz Equation [J] . Peng Wang, Yan Shi, Zhen Guo Ban, Antennas and Propagation, IEEE Transactions on . 2020,第11期

机译：基于Helmholtz方程的不连续Galerkin时域方法的惩罚因子阈值和时间步骤累积估计
3. Inverse point source location with the Helmholtz equation on a bounded domain [J] . Pieper Konstantin, Bao Quoc Tang, Trautmann Philip, Computational optimization and applications . 2020,第1期

机译：逆点源位置与有界域上的Helmholtz方程
4. Integral Equation Method in Boundary Value Problems for The Helmholtz Equation in Domains Bounded by Closed Curves and Open Arc [C] . P. A. Krutitskii International Conference on Numerical Analysis and Applied Mathematics . 2007

机译：闭合曲线界限界限域亥姆霍兹方程边值问题的积分方程方法
5. Numerical solution of the Helmholtz and the wave equations in unbounded domains. [D] . Aladl, Usaf E. 2001

机译：无限范围内亥姆霍兹方程和波动方程的数值解。
6. SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES [O] . Xiaohai Wan, Zhilin Li -1

机译：一些新的有限差分方法Helmholtz方程不规则域或使用INTERFaCEs
7. The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves [O] . P. A. Krutitskii 1998

机译：二维Helmholtz方程在区域中的诺伊曼问题，以封闭和开放曲线为边界

The Helmholtz Equation in Domains Bounded by Closed Curves and Open Arcs

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