2021/03/25 by Pingbing Ming, Ming, Pingbing, Siqi Song +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2103.13566
arxiv created 2022/03/02 · arxiv updated 2022/03/03
We propose a Nitsche method for multiscale partial differential equations, which retrieves the macroscopic information and the local microscopic information at one stroke. We prove the convergence of the method for second order elliptic problem with bounded and measurable coefficients. The rate of convergence may be derived for coefficients with further structures such as periodicity and ergodicity. Extensive numerical results confirm the theoretical predictions.