Aristotelous

Andreas Aristotelous

Postdoctoral Researcher
Office: SAMSI 222
Email: aaristot at samsi dot info

About me

I am a Postoctoral researcher at the Statistical and Applied Mathematical Sciences Institute (SAMSI),
this is a joint position with the Mathematics Department at Duke University.

Education

PH.D. The University of Tennessee, Knoxville, August 2011

Dissertation Title: Adaptive Discontinuous Galerkin Finite Element Methods for a Diffuse Interface Model of Biological Growth

My Working Groups

• Engineered Systems (Webmaster)
• Multiphysics
• Numerical Methods for Uncertainty Quantification (Spring Course)
• Stochastic to Deterministic Models and Back Again (Webmaster)

Research Interest

• Scientific Computing
• Numerical Analysis
• Finite Elements
• Applied Mathematics
• Discrete Modeling
• Cancer Modeling

My research interests are focused on the analysis and implementation of efficient algorithms
in view of their application to the simulation of problems of practical interest. Particularly I am
interested in the application of adaptive Discontinuous Galerkin Finite Element (DGFE) methods
for the numerical solution of biomedical problems and in particular on Cahn-Hilliard type equations
as phenomenological models for cancer tumours. In my work I utilize energy splitting techniques,
error estimation, adaptive mesh refinement/coarsening via a posteriori error, and implementation
of fast solvers based on multigrid and domain decomposition techniques.

• Adaptive mesh tumor progression simulation pic. Blue indicates healthy cells, while green indicates tumorous tissue.

• My current CV

Publications

• Andreas C. Aristotelous, Mansoor Haider. Bridging Cell and Tissue Scale Models for Nutrient Diffusion
and Uptake in Articular Cartilage. 2012 (in preparation)

• Andreas C. Aristotelous, Rick Durrett. Richardson’s model with necrosis. 2012 (in preparation)

• Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise. A Mixed Discontinuous Galerkin,
Convex Splitting Scheme for a Modified Cahn Hilliard Equation. 2012. (in preparation)

• Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise. Adaptive Discontinuous Galerkin
Finite Element Methods for a Diffuse Interface Model of Biological Growth. 2012. (submitted)

• Andreas C. Aristotelous, Ohannes A. Karakashian, and Steven M.Wise. A Mixed Discontinuous Galerkin,
Convex Splitting Scheme for the Cahn-Hilliard Equation. 2012 (submitted)

• A. Aristotelous. Adaptive Discontinuous Galerkin Finite Element Methods for a Diffuse Interface Model
of Biological Growth. PhD thesis, The University of Tennessee 2011.