Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited
Pingbing Ming, Siqi Song · Multiscale Modeling and Simulation · 2024
Abstract. We derive the optimal energy error estimate for a multiscale finite element method with oversampling technique applied to an elliptic system with rapidly oscillating periodic coefficients under the assumption that the coefficients are bounded and measurable, which may admit rough microstructures. As a byproduct of the energy error estimate, we derive the rate of convergence in the [Formula: see text]-norm.