Projects per year

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Meshless
Mathematics

Collocation Method
Mathematics

Least squares approximations
Engineering & Materials Science

Collocation
Mathematics

Numerical Solution
Mathematics

Natural convection
Engineering & Materials Science

free convection
Physics & Astronomy

Nanofluid
Mathematics

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## Projects 2018 2018

- 1 Finished

## Real Time Brain Deformation Computation for Accurate Target Localisation in Epilepsy Treatment

Joldes, G., Bourantas, G. & Warfield, S.

University of Western Australia

1/01/18 → 31/12/18

Project: Research

## Research Output 2011 2019

## A discrete element method for modelling cell mechanics: Application to the simulation of chondrocyte behavior in the growth plate

Joldes, G. R., Bourantas, G. C., Wittek, A., Miller, K., Smith, D. W. & Gardiner, B. S., 14 May 2018,*Computational Biomechanics for Medicine: Measurements, Models, and Predictions.*Switzerland: Springer International Publishing AG, p. 93-103 11 p.

Research output: Chapter in Book/Conference paper › Chapter

Growth Plate

Chondrocytes

Mechanics

Finite difference method

Mechanical Phenomena

## A flux-conservative finite difference scheme for the numerical solution of the nonlinear bioheat equation

Bourantas, G. C., Joldes, G. R., Wittek, A. & Miller, K., 14 May 2018,*Computational Biomechanics for Medicine: Measurements, Models, and Predictions.*Springer International Publishing AG, p. 69-81 13 p.

Research output: Chapter in Book/Conference paper › Chapter

Nonlinear equations

nonlinear equations

Tissue

Fluxes

Finite difference method

## An explicit meshless point collocation method for electrically driven magnetohydrodynamics (MHD) flow

Bourantas, G. C., Loukopoulos, V. C., Joldes, G. R., Wittek, A. & Miller, K., 10 Dec 2018, In : Applied Mathematics and Computation. 348, p. 215-233 19 p.Research output: Contribution to journal › Article

## Strong-form approach to elasticity: Hybrid finite difference-meshless collocation method (FDMCM)

Bourantas, G. C., Mountris, K. A., Loukopoulos, V. C., Lavier, L., Joldes, G. R., Wittek, A. & Miller, K., 1 May 2018, In : Applied Mathematical Modelling. 57, p. 316-338 23 p.Research output: Contribution to journal › Article

Meshless Method

Collocation Method

Elasticity

Finite Difference

Derivatives

## Strong and weak form meshless methods in computational biomechanics

Bourantas, G., Joldes, G., Wittek, A. & Miller, K., 6 Oct 2017,*Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes.*Cerrolaza, M., Shefelbine, S. J. & Garzon-Alvarado, D. (eds.). Academic Press, p. 325 339 p.

Research output: Chapter in Book/Conference paper › Chapter

biomechanics

numerical method

method

finite volume method

astrophysics