论文标题
逆抛物线问题的凸式化
Convexification for an Inverse Parabolic Problem
论文作者
论文摘要
提出了用于抛物线PDE系数逆问题的基于凸化的数值方法。该方法的关键要素是数值方案中所谓的卡尔曼权重函数的存在。收敛分析可确保该方法的全局收敛性，而不是常规最小二乘最小化技术的局部收敛。数值结果表明表现良好。
A convexification-based numerical method for a Coefficient Inverse Problem for a parabolic PDE is presented. The key element of this method is the presence of the so-called Carleman Weight Function in the numerical scheme. Convergence analysis ensures the global convergence of this method, as opposed to the local convergence of the conventional least squares minimization techniques. Numerical results demonstrate a good performance.
