Achieving Higher-Order Convergence Rates in Numerical Homogenization

Explore the construction of higher-order multiscale methods within the Localized Orthogonal Decomposition approach in this 53-minute talk. Discover how to achieve higher-order estimates in elliptic settings without imposing strict regularity conditions on the domain, coefficient, or exact solution. Examine extensions to time-dependent problems and the necessary adaptations. Gain insights from numerical examples that demonstrate the theoretical findings. Delve into advanced numerical homogenization techniques and their applications in solving complex mathematical problems.

Roland Maier: Achieving higher-order convergence rates in numerical homogenization