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Mingchao Cai

Title
Faculty RankAssociate Professor
InstitutionMorgan State University
DepartmentMathematics
Address1700 E Cold Spring Lane
Baltimore MD 21251
Phone4438854649
ORCID ORCID Icon0000-0001-7410-5807 Additional info
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    Collapse Biography 
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    2008Best Teaching Assistant Coordinator, HonngKong Univ. of Sci. & Tec.
    2018Faculty Grantsmanship Award, Dept of Math, Morgan State Univ
    2019Faculty Research Award, SCMNS, Morgan State Univ.
    2019Dr. Sandye Jean McIntyre, II, International Award, Morgan State Univ.

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    Collapse Research 
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    1700328     (Mingchao Cai)May 1, 2017 - Apr 30, 2022
    NSF/HRD
    Fast solvers for variable-coefficient poroelastic models
    Role Description: The primary goal of this project is to develop, analyze and implement optimal and scalable numerical methods for variable-coefficient poroelastic models under the finite element method (FEM), finite volume method (FVM) and immersed interface method (IIM) discretizations. The long-term goal will be the integration of the poroelastic solvers with fluid solvers and their applications to multi-physics problems in geoscience and biomedical engineering.
    Role: PI
    1831950     (Mingchao Cai)Sep 1, 2018 - Aug 31, 2021
    NSF/DMS
    Numerical algorithms for fluid poroelastic structure interaction models
    Role Description: The objective of this project aims at developing efficient and effective numerical algorithms that can address the previously mentioned difficulties. In particular, the PI and the team members will consider decoupled preconditioning techniques based on a monolithic formulation, two-grid methods combined with the Robin-Neumann iteration, multi-rate timestepping schemes which use different time step sizes in different subdomain models, domain decomposition methods and multigrid methods that can accelerate the convergence of the numerical algorithms.
    Role: PI

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    Publications listed below are automatically derived from MEDLINE/PubMed and other sources, which might result in incorrect or missing publications. Faculty can login to make corrections and additions.
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    1. Zhang G, Cai M. Normal mode analysis of 3D incompressible viscous fluid flow models. Appl Anal. 2021; 100(1):116-134. PMID: 33840816.
      Citations:    
    2. Cai M, Zhang G. Comparisons of Some Iterative Algorithms for Biot Equations. Int J Evol Equ. 2015; 10(3-4):267-282. PMID: 30364836.
      Citations:    
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