论文标题
用于线性动力学弹性弹性复合结构的混合混合杂交和混合式胶素方法
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures
论文作者
论文摘要
我们在线性粘弹性中介绍并分析了Zener模型的基于应力的公式。该方法旨在应对有效的异质材料，这些材料在其组成中纯粹弹性和粘弹性部分。我们以一类张力波方程来写出问题的混合变异表述，并获得通过标准的Galerkin程序来保证问题的能量估计值。我们提出和分析问题的混合连续和不连续的Galerkin空间离散，并在相应的能量规范中为每个半分化解决方案提供最佳的误差界限。
We introduce and analyze a stress-based formulation for Zener's model in linear viscoelasticity. The method is aimed to tackle efficiently heterogeneous materials that admit purely elastic and viscoelastic parts in their composition. We write the mixed variational formulation of the problem in terms of a class of tensorial wave equation and obtain an energy estimate that guaranties the well-posedness of the problem through a standard Galerkin procedure. We propose and analyze mixed continuous and discontinuous Galerkin space discretizations of the problem and derive optimal error bounds for each semidiscrete solution in the corresponding energy norm.
