TY - THES
T1 - An element free Galerkin Method for the prediction of soft tissue deformation in surgical simulation
AU - Chowdhury, Habibullah Amin
PY - 2017
Y1 - 2017
N2 - Meshless methods based on Element Free Galerkin formulation exhibit three major limitations : a) meshless shape functions using higher order basis cannot always be computed for arbitrarily distributed nodes; b) challenges in imposing the Essential Boundary Conditions (EBC), and, c) inaccurate numerical integration in space. To find effective solutions for the problems mentioned, the thesis presents a Modified Moving Least Squares method for interpolating scattered data, a novel way of imposing EBC for explicit meshless, and implements an adaptive numerical integration procedure. The effectiveness of the proposed methods is demonstrated using 2D and 3D numerical examples of soft tissue deformation.
AB - Meshless methods based on Element Free Galerkin formulation exhibit three major limitations : a) meshless shape functions using higher order basis cannot always be computed for arbitrarily distributed nodes; b) challenges in imposing the Essential Boundary Conditions (EBC), and, c) inaccurate numerical integration in space. To find effective solutions for the problems mentioned, the thesis presents a Modified Moving Least Squares method for interpolating scattered data, a novel way of imposing EBC for explicit meshless, and implements an adaptive numerical integration procedure. The effectiveness of the proposed methods is demonstrated using 2D and 3D numerical examples of soft tissue deformation.
KW - Meshless method
KW - Element free Galerkin
KW - Soft tissue deformation
KW - Essential boundary condition
KW - Numerical integration
KW - Modified moving least squares
U2 - 10.4225/23/5a1273d4df3ff
DO - 10.4225/23/5a1273d4df3ff
M3 - Doctoral Thesis
ER -