非线性对流-扩散-反应系统中的点源识别
Point source identification in non-linear advection-diffusion-reaction systems
AI总结：
针对含非线性反应项的对流-扩散系统，提出一种基于伴随方程和迭代算法的点源识别方法，并通过自适应增加测量点提高识别质量。
摘要：
我们考虑在具有非线性反应项的时变对流-扩散系统中识别点源的问题。该问题的线性对应部分可以通过使用伴随方程简化为求解非线性代数方程组。我们通过构造一种迭代求解算法来扩展该方法，以考虑反应项的非线性。我们研究了通过自适应地增加测量点（利用先前使用较少测量点获得的解）来提高源识别质量的问题。
英文摘要：
We consider a problem of identification of point sources in time dependent advection-diffusion systems with a non-linear reaction term. The linear counterpart of the problem in question can be reduced to solving a system of non-linear algebraic equations via the use of adjoint equations. We extend this approach by constructing an algorithm that solves the problem iteratively to account for the non-linearity of the reaction term. We study the question of improving the quality of source identification by adding more measurements adaptively using the solution obtained previously with a smaller number of measurements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
