间断伽辽金法
数学
亥姆霍兹方程
插值(计算机图形学)
趋同(经济学)
应用数学
数学分析
有限元法
经典力学
物理
边值问题
经济增长
热力学
运动(物理)
经济
作者
Hélène Barucq,Nathan Rouxelin,Sébastien Tordeux
摘要
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.
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