3 papers
math.NA2026
Field conserving adaptive mesh refinement (AMR) scheme on massively parallel adaptive octree meshes
Kumar Saurabh, Makrand A. Khanwale, Masado Ishii +2
Adaptive mesh refinement (AMR) is widely used to efficiently resolve localized features in time-dependent partial differential equations (PDEs) by selectively refining and coarseni…
math.NA2025
A geometrically informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
Songzhe Xu, Majid Rasouli, Robert M. Kirby +2
Algebraic multigrid (AMG) is conventionally applied in a black-box fashion, agnostic to the underlying geometry. In this work, we propose that using geometric information -- when a…
physics.optics2024
Localization landscape of optical waves in multifractal photonic membranes
Tornike Shubitidze, Yilin Zhu, Hari Sundar +1
In this paper, we investigate the localization properties of optical waves in disordered systems with multifractal scattering potentials. In particular, we apply the localization l…