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George Mason University

Faculty & Staff Directory

Javier Almonacid Paredes

  • Postdoctoral Research Fellow

    Contact Info

    Name
    Javier A Almonacid Paredes
    Preferred Pronouns
    he/him
    Job Title
    Postdoctoral Research Fellow
    Website
    Personal Site
    Office Number
    Center for Mathematics and Artificial Intelligence, Exploratory Hall 4102

    Affiliations

    Departments

    Centers

    • Center for Mathematics and Artificial Intelligence (CMAI)

    Research Areas

    • Applied Mathematics
    • Numerical Analysis
    • Optimization
    • Partial Differential Equations
    • Physiology
    • Simulation

    Education

    PhD, Applied and Computational Mathematics, Simon Fraser University, (2025)

    About

    I am a Postdoctoral Research Fellow at the Center for Mathematics and Artificial Intelligence (CMAI), where I work on interdisciplinary problems at the intersection of mathematics, mechanics, and biology. I completed my PhD in Applied and Computational Mathematics at Simon Fraser University, following a Master's from the same institution and an undergraduate degree in Mathematical Civil Engineering from Universidad de Concepción, Chile.

    Current Research

    My research develops and analyzes numerical methods for nonlinear partial differential equations in continuum mechanics, with an emphasis on finite element discretizations for problems in elasticity, fluid flow, and skeletal muscle biomechanics. I work on mixed and augmented finite element formulations, stability analysis of nonlinear elastodynamic models of soft tissue, and optimization algorithms. A central focus is translating this analysis into simulation software: I lead the development of Flexodeal (https://github.com/sfu-nml/flexodeal), an open-source C++ finite element library for 3D musculoskeletal dynamics, coupling rigorous numerical analysis with physiologically grounded simulation of muscle mechanics.

    Selected Publications

    J.A. Almonacid, S.A. Dominguez-Rivera, R.N. Konno, N. Nigam, S.A. Ross, C. Tam, and J.M. Wakeling. A three-dimensional model of skeletal muscle tissues. SIAM Journal on Applied Mathematics (2024). 

    J.A. Almonacid and N. Nigam. Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: a numerical study. Journal of Computational and Applied Mathematics (2024).

     J.A. Almonacid, H. Díaz, G.N. Gatica and A. Márquez. A fully-mixed finite element method for the coupling of the Stokes and Darcy-Forchheimer problems. IMA Journal of Numerical Analysis (2020). 

    J.A. Almonacid, G.N. Gatica and R. Oyarzúa. A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. Calcolo (2018).

    Contact Info

    Name
    Javier A Almonacid Paredes
    Preferred Pronouns
    he/him
    Job Title
    Postdoctoral Research Fellow
    Website
    Personal Site
    Office Number
    Center for Mathematics and Artificial Intelligence, Exploratory Hall 4102

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