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Full-Text Articles in Physical Sciences and Mathematics
Estimation Of Travel Time Based On Vehicle-Tracking Models, Anuj Nayyar
Estimation Of Travel Time Based On Vehicle-Tracking Models, Anuj Nayyar
UNLV Theses, Dissertations, Professional Papers, and Capstones
In this thesis we study the travel time problem based on the known traffic density model. Using the conservation law, we model the travel time function by a boundary value problem of a non homogeneous linear hyperbolic equation. The equation is transformed into an initial value hyperbolic equation, and the well-posedness of the problem is discussed. The mathematical analysis for both density and travel problems are given. We also derive the analytic solutions for several special cases of traffic density. Numerical schemes are proposed for solving for travel time problem. Several numerical examples are presented and error analysis on the …
Stability Aware Delaunay Refinement, Bishal Acharya
Stability Aware Delaunay Refinement, Bishal Acharya
UNLV Theses, Dissertations, Professional Papers, and Capstones
Good quality meshes are extensively used for finding approximate solutions for partial differential equations for fluid flow in two dimensional surfaces. We present an overview of existing algorithms for refinement and generation of triangular meshes. We introduce the concept of node stability in the refinement of Delaunay triangulation. We present two algorithms for generating stable refinement of Delaunay triangulation. We also present an experimental investigation of a triangulation refinement algorithm based on the location of the center of gravity and the location of the center of circumcircle. The results show that the center of gravity based refinement is more effective …