本征正交分解
数学
有限元法
应用数学
先验与后验
趋同(经济学)
交货地点
对流扩散方程
伽辽金法
扩散
数学优化
作者
Volker John,Baptiste Moreau,Julia Novo
标识
DOI:10.1016/j.camwa.2022.07.017
摘要
A reduced order model (ROM) method based on proper orthogonal decomposition (POD) is analyzed for convection-diffusion-reaction equations. The streamline-upwind Petrov–Galerkin (SUPG) stabilization is used in the practically interesting case of dominant convection, both for the full order method (FOM) and the ROM simulations. The asymptotic choice of the stabilization parameter for the SUPG-ROM is done as proposed in the literature. This paper presents a finite element convergence analysis of the SUPG-ROM method for errors in different norms. The constants in the error bounds are uniform with respect to small diffusion coefficients. An approach for a posteriori error estimation is discussed. Numerical studies illustrate the performance of the SUPG-ROM method.
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