2 papers
math.NA2026
Optimal higher-order convergence rates for parabolic multiscale problems
Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier +1
In this paper, we introduce a higher-order multiscale method for time-dependent problems with highly oscillatory coefficients. Building on the localized orthogonal decomposition (L…
math.NA2026
Neural numerical homogenization based on Deep Ritz corrections
Mehdi Elasmi, Felix Krumbiegel, Roland Maier
Numerical homogenization methods aim at providing appropriate coarse-scale approximations of solutions to (elliptic) partial differential equations that involve highly oscillatory…