Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux
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引用次数: 1

Abstract

We introduce a hybridizable discontinuous Galerkin (HDG) method for the convected Helmholtz equation based on the total flux formulation, in which the vector unknown represents both diffusive and convective phenomena. This HDG method is constricted with the same interpolation degree for all the unknowns and a physically informed value for the penalization parameter is computed. A detailed analysis including local and global well-posedness as well as a super-convergence result is carried out. We then provide numerical experiments to illustrate the theoretical results.
共轭亥姆霍兹方程全通量公式的HDG解的构造和分析
基于总通量公式,引入了一种求解共轭亥姆霍兹方程的杂交不连续伽辽金(HDG)方法,其中未知向量同时表示扩散和对流现象。这种HDG方法对所有未知数具有相同的插值度,并计算出惩罚参数的物理通知值。详细分析了该方法的局部适定性和全局适定性,并给出了超收敛结果。然后,我们提供数值实验来说明理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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