一种用于四 curl 问题的混合不连续 Galerkin 方法
A hybridizable discontinuous Galerkin method for the quad-curl problem
AI总结：
本文提出了一种混合不连续 Galerkin 方法来求解四 curl 问题，通过引入拉格朗日乘子强制无散条件，并针对低正则性模型问题在 Lipschitz 多面体域上进行了分析。
AI中文摘要：
四 curl 问题出现在磁流体动力学、反向电磁散射和变换本征值问题中。本文研究了一种基于混合格式的混合不连续 Galerkin 方法来求解四 curl 问题。通过引入拉格朗日乘子来强制无散条件。分析针对一个低正则性模型问题，该问题定义在 Lipschitz 多面体域上。
英文摘要：
The quad-curl problem arises in magnetohydrodynamics, inverse electromagnetic scattering and transform eigenvalue problems. In this paper we investigate a hybridizable discontinuous Galerkin method to solve the quad-curl problem based on a mixed formulation. The divergence-free condition is enforced by introducing a Lagrange multiplier into the system. The analysis is performed for the model problem with low regularity, which is posed on a Lipschitz polyhedron domain.
