论文标题
通过准可逆性方法重建依赖空间的源术语
Reconstructing a space-dependent source term via the quasi-reversibility method
论文作者
论文摘要
本文的目的是解决一个重要的逆源问题，该问题是由众所周知的反散射问题引起的。我们建议相对于L2的特殊基础，将傅立叶级数截断为管理方程式。这样，我们获得了线性椭圆方程的系统。该系统的解决方案是处理方程的解决方案的傅立叶系数。计算这些傅立叶系数后，我们可以直接找到所需的源函数。提出了数值示例。
The aim of this paper is to solve an important inverse source problem which arises from the well-known inverse scattering problem. We propose to truncate the Fourier series of the solution to the governing equation with respect to a special basis of L2. By this, we obtain a system of linear elliptic equations. Solutions to this system are the Fourier coefficients of the solution to the governing equation. After computing these Fourier coefficients, we can directly find the desired source function. Numerical examples are presented.
