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.

中文翻译：

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反抛物线问题的凸化

提出了一种用于抛物线偏微分方程系数逆问题的基于凸化的数值方法。这种方法的关键要素是在数值方案中存在所谓的卡尔曼权重函数。与传统最小二乘最小化技术的局部收敛相反，收敛分析确保了该方法的全局收敛。数值结果表明性能良好。