论文标题
电阻抗层造影术的弱伽勒金方法
Weak Galerkin Method for Electrical Impedance Tomography
论文作者
论文摘要
在这项工作中，我们提出并分析了基于有界变异正则化的电阻抗层析成像的弱伽勒金方法。我们使用完整的电极模型作为前向系统，该系统由最低阶的弱彩手方法近似。研究了前进问题的误差估计值，该估计用于建立反向问题的该弱Galerkin算法的收敛性。提出了数值示例，以验证弱透明术算法对电阻抗的有效性和效率。
In this work, we propose and analyse a weak Galerkin method for the electrical impedance tomography based on a bounded variation regularization. We use the complete electrode model as the forward system that is approximated by a weak Galerkin method with lowest order. The error estimates are studied for the forward problem, which are used to establish the convergence of this weak Galerkin algorithm for the inverse problem. Numerical examples are presented to verify the effectiveness and efficiency of the weak Galerkin algorithm for the electrical impedance tomography.
