3 papers
math.NA2026
Enriched higher-order multiscale approaches with applications to wave propagation
Balaje Kalyanaraman, Felix Krumbiegel, Roland Maier +1
We consider the numerical solution of partial differential equations with coefficients that are strongly heterogeneous in space. We provide an overview of higher-order localized or…
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.NA2025
On the stability analysis of perfectly matched layer for the elastic wave equation in layered media
Kenneth Duru, Balaje Kalyanaraman, Siyang Wang
In this paper, we present the stability analysis of the perfectly matched layer (PML) in two-space dimensional layered elastic media. Using normal mode analysis we prove that all i…