Browsing Mathematics and Statistics Electronic Theses and Dissertations (UMKC) by Thesis Advisor "Li, Xianping"
Now showing items 1-3 of 3
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Anisotropic Mesh Adaptation for Image Segmentation based on Partial Differential Equations
(2020)As the resolution of digital images increases significantly, the processing of images becomes more challenging in terms of accuracy and efficiency. In this dissertation, we consider image segmentation by solving a partial ... -
Mesh Adaptation in Fractured Reservoir Simulation
(University of Missouri--Kansas City, 2017)Natural fractures exist in many oil and gas reservoirs. On the other hand, hydraulic fracturing (fracking) is needed to create fractures in some reservoirs to improve the production rate. For example, shale gas reservoirs ... -
Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems
(2021)The moving mesh finite element method (MM-FEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true ...