Andreas Aristotelous

Andreas Aristotelous Image

Associate Professor

Office: UNA 110
Phone: 610-436-3495 
Fax: 610-738-0578


Professor's Webpage


  • Ph.D. The University of Tennessee, Knoxville
  • M.S. Florida Institute of Technology
  • B.S. University of Cyprus

Research Interests

  • numerical solution of partial differential equations
  • discontinuous Galerkin finite element method
  • numerical analysis, computational fluid dynamics
  • hybrid discrete continuous systems and their applications in biomedical problems.

Professional Experience

  • August 2015 to Present:
    Associate Professor of Mathematics (Tenure-Track), West Chester University
  • August 2014 to July 2015:
    Research Assistant Professor of Mathematics, Temple University
  • August 2011 to July 2014:
    Visiting Assistant Professor of Mathematics, Duke University
  • August 2011 to August 2013:
    Postdoctoral Fellow (joint with Duke), Statistical and Applied Mathematical Sciences Institute (SAMSI)

Selected Publications

  • Aristotelous, A. C., Grabovsky, Y. & Klapper, I. (2018) Heterogeneity Formation Within
    Biofilm Systems. European Journal of Applied Mathematics 1-15 .
    doi:10.1017/S0956792518000402 .
  • Aristotelous, A. C., Crawford, J. M., Edwards, G. S., Kiehart, D. P. & Venakides,
    S. (2018) Mathematical models of dorsal closure. Progress in Biophysics and Molecular Biology
  • Aristotelous, A. C., Klapper, I., Grabovsky, Y., Pabst, B., Pitts, B. and Stewart, P. S. (2015) Diffusive Transport Through Host-Biofilm Systems. Phys. Rev. E, 92-2, 022703.
  • Aristotelous, A. C., Karakashian, O. A. and Wise, S. M. (2015) Adaptive, Second-Order in Time, Primitive-Variable Discontinuous Galerkin Schemes for a Cahn-Hilliard Equation with a Mass Source. IMA J. Numer. Anal., 35-3, 1167--1198.
  • Aristotelous, A. C. and Haider, M. A. (2014) Use of Hybrid Discrete Cellular Models for Identification of Macroscopic Nutrient Loss in Reaction-Diffusion Models of Tissues. Int. J. Numer. Meth. Biomed. Engng., 30-8,767--780.
  • Aristotelous, A. C. and Durrett, R. (2014) Chemical Evolutionary Games. Theoretical Population Biology, 93, 1--13.
  • Aristotelous, A. C., Karakashian, O. A. and Wise, S. M. (2013) A Mixed Discontinuous Galerkin, Convex Splitting Scheme for a Modified Cahn-Hilliard Equation and an Efficient Nonlinear Multigrid Solver. DCDS-B, 18-9, 2211--2238.

Selected Talks


  • SIAM Life Sciences 2018 Meeting, Minneapolis, Minnesota, Aug 6-9, 2018
    Mini Symposium Title: Recent Advances of Phase Field Models in Life Science
    Talk Title: Unconditionally energy stable DG-FE schemes for diffuse interface models
    Recorded Talk/slides: presentations/115285
  • SMB 2015 Annual Meeting, Georgia State University, Atlanta, July 2, 2015
    Mini Symposium Title: Modeling and Simulation of the Biomechanics of Heterogeneous Biofilms
    Talk Title: Modeling Heterogenous Biofilms
  • AMS Meeting, University of Alabama, Huntsville, AL, March 29 2015
    Special session on “Recent Advances in Numerical Methods for Nonlinear Partial Differential Equations”
    Talk Title: Discontinuous Galerkin Methods for Generalized Cahn-Hilliard Equations
  • Courant Institute of Mathematical Sciences, New York University, New York, NY, March 2014
    Seminar Talk Title: Discontinuous Galerkin Finite Element Schemes for Cahn-Hilliard Type Models and Hybrid Discrete Systems


  • SMB 2013 Annual Meeting, Arizona State University, Tempe, June 10-13, 2013
    Mini symposium organizer
    Mini Symposium Title: Hybrid Models and Methodologies for Tissues with Active Biological Constituents
    Talk Title: Methodologies for Bridging Cell and Tissue Scale Models for Nutrient Transport and Uptake in Articular Cartilage


  • SIAM Conference on Analysis of PDE, Baltimore, MD, Dec 9-12, 2017
    Talk Title: Discontinuous Galerkin Finite Element Methods for the Solution of Diffuse Interface
  • SIAM 2012 Annual Meeting, Minneapolis, July 9-11, 2012
    Talk Title: Multigrid, Adaptive Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and Diffuse Interface Model of Tumor Growth


  • Grant award from the NSF Division of Mathematical Sciences (DMS)
    Programs: Computational Mathematics, Mathematical Biology
    Award Number: DMS 1720226
    Title: Computational Methods for Heterogeneous Soft Living Materials
    This award starts July 1, 2017 and ends June 30, 2020
    Continuing grant: Currently awarded $65,351.00, award expected to total $100,115.00 dollars.
    NSF webpage for the award
  • Poster Presentation Prize, at the Society for Industrial and Applied Mathematics (SIAM), Mathematics of Planet Earth (MPE) conference, September 30, 2016, Philadelphia.
    Title: Numerical study of biofilm growth in a microgravity environment.