activity
20192022
most citedSuite of Meshless Algorithms for Accurate Computation of Soft Tissue Deformation for Surgical Simulation

65 citations · 68 across the 6 of their papers we have counts for

collaborators

8 papers

math.NA2022

Recovery by discretization corrected particle strength exchange (DC PSE) operators

Benjamin F. Zwick, George C. Bourantas, Farah Alkhatib +2

A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE is a collocation method that can be used…

cs.CE20202 cited

Immersed boundary finite element method for blood flow simulation

G. C. Bourantas, D. L. Lampropoulos, B. F. Zwick +3

We present an efficient and accurate immersed boundary (IB) finite element (FE) solver for numerically solving incompressible Navier--Stokes equations. Particular emphasis is given…

cs.CE2020

Simple and robust element-free Galerkin method with interpolating shape functions for finite deformation elasticity

George Bourantas, Benjamin F. Zwick, Grand Joldes +2

In this paper, we present a meshless method belonging to the family of element-free Galerkin (EFG) methods. The distinguishing feature of the presented meshless method is that it a…

physics.med-ph2020

Mathematical Modeling and Computer Simulation of Needle Insertion into Soft Tissue

Adam Wittek, George Bourantas, Benjamin F. Zwick +3

In this study we present a kinematic approach to modeling needle insertion into soft tissues. The kinematic approach allows the presentation of the problem as Dirichlet-type (i.e.…

physics.comp-ph2019

An explicit meshless point collocation solver for incompressible Navier-Stokes equations

George C. Bourantas, Benjiamin F. Zwick, Grand R. Joldes +4

We present a strong form, meshless point collocation explicit solver for the numerical solution of the transient, incompressible, viscous Navier-Stokes (N-S) equations in two dimen…

physics.med-ph2019

Wall Stress Distributions in Abdominal Aortic Aneurysms Do Not Correlate With Symptoms

Karol Miller, Hozan Mufty, Alastair Catlin +8

Abdominal aortic aneurysm (AAA) is a permanent and irreversible dilation of the lower region of the aorta. It is typically an asymptomatic condition that if left untreated can expa…