Pingbing Ming, Siqi Song
Published 2022-07-22Version 1
We derive the optimal energy error estimate for multiscale finite element method with oversampling technique applying to elliptic system with rapidly oscillating periodic coefficients under the assumption that the coefficients are bounded and measurable, which may admit rough microstructures. As a by-product of the energy estimate, we derive the rate of convergence in L$^{d/(d-1)}-$norm.
Multiscale finite element method for Stokes-Darcy model
A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities
Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition
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