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Mingchao Cai

TitleProfessor
Faculty RankProfessor
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 
    Collapse awards and honors
    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.

    Collapse Overview 
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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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    PMC Citations indicate the number of times the publication was cited by articles in PubMed Central, and the Altmetric score represents citations in news articles and social media. (Note that publications are often cited in additional ways that are not shown here.) Fields are based on how the National Library of Medicine (NLM) classifies the publication's journal and might not represent the specific topic of the publication. Translation tags are based on the publication type and the MeSH terms NLM assigns to the publication. Some publications (especially newer ones and publications not in PubMed) might not yet be assigned Field or Translation tags.) Click a Field or Translation tag to filter the publications.
    1. Han B, Akor EA, Cruz AF, Cai M, Kaczka DW. Simulation of Central Airway Gas Flow Dynamics During Conventional and Multifrequency Ventilation. J Biomech Eng. 2025 Oct 01; 147(10). PMID: 40579932.
      Citations:    Fields:    Translation:Animals
    2. Olabanjo O, Aigbokhan E, Akor EA, Kaczka DW, Cai M. Finite element simulation of lung parenchyma deformation based on porcine data. Comput Methods Biomech Biomed Engin. 2025 Sep 08; 1-21. PMID: 40920051.
      Citations:    Fields:    
    3. Zhang G, Cai M. Normal mode analysis of 3D incompressible viscous fluid flow models. Appl Anal. 2021; 100(1):116-134. PMID: 33840816.
      Citations:    
    4. 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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