id author title date pages extension mime words sentence flesch summary cache txt t722h70625t Kelsey DiPietro Adaptive Moving Mesh Methods for Partial Differential Equations 2019 .txt text/plain 349 14 35 Beyond the contribution of r-adaptive moving mesh methods based on the Monge-Ampére equation for fourth order PDEs posed on rectangular domains, this thesis gives a finite difference approximation of the Monge-Ampere equation for mesh generation and adaptation for solving PDEs on curved domains. We provide a boundary mapping between a fixed, uniform rectangular domain to an adaptive, curved physical domain that is applicable to convex and select non-convex domains. cache/t722h70625t.txt txt/t722h70625t.txt