A version of the convexification globally convergent numerical method is constructed for a coefficient inverse problem for a wave-like partial differential equation. The presence of the Carleman Weight Function in the corresponding Tikhonov-like cost functional ensures the global strict convexity of this functional. Numerical results are presented to illustrate the effectiveness and efficiency of the proposed method.
翻译:对波状局部差分方程式的系数反问题构建了全球趋同数字法的版本,Carleman Weight 函数在相应的Tikhonov类似成本功能中的存在确保了这一功能的全球严格共和性,提出了数值结果,以说明拟议方法的有效性和效率。