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of 104
pro vyhledávání: '"Bourantas, George"'
Autor:
Gralton, S. Gerry, Alkhatib, Farah, Zwick, Ben, Bourantas, George, Wittek, Adam, Miller, Karol
Engineering simulations using boundary-value partial differential equations often implicitly assume that the uncertainty in the location of the boundary has a negligible impact on the output of the simulation. In this work, we develop a novel method
Externí odkaz:
http://arxiv.org/abs/2302.06842
Autor:
Safdar, Saima, Zwick, Benjamin, Bourantas, George, Joldes, Grand, Hyde, Damon, Warfield, Simon, Wittek, Adam, Miller, Karol
Publikováno v:
Computational Biomechanics for Medicine Workshop CBM XVII 2022
Electrocorticography (ECoG) or intracranial electroencephalography (iEEG) monitors electric potential directly on the surface of the brain and can be used to inform treatment planning for epilepsy surgery when paired with numerical modeling. For solv
Externí odkaz:
http://arxiv.org/abs/2208.01747
Abdominal Aortic Aneurysm (AAA) is an enlargement in the lower part of the main artery Aorta by 1.5 times its normal diameter. AAA can cause death if rupture occurs. Elective surgeries are recommended to prevent rupture based on geometrical measureme
Externí odkaz:
http://arxiv.org/abs/2206.06175
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 to compute derivatives directly at nodal points, instead of by projec
Externí odkaz:
http://arxiv.org/abs/2204.14089
Autor:
Zwick, Benjamin F., Bourantas, George C., Safdar, Saima, Joldes, Grand R., Hyde, Damon E., Warfield, Simon K., Wittek, Adam, Miller, Karol
Invasive intracranial electroencephalography (iEEG) or electrocorticography (ECoG) measures electric potential directly on the surface of the brain and can be used to inform treatment planning for epilepsy surgery. Combined with numerical modeling th
Externí odkaz:
http://arxiv.org/abs/2109.07164
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 allows accurate enforcement of essential boundary conditions. The metho
Externí odkaz:
http://arxiv.org/abs/2005.09075
Autor:
Wittek, Adam, Bourantas, George, Zwick, Benjamin F., Joldes, Grand, Esteban, Lionel, Miller, Karol
Publikováno v:
PLoS One. 2020;15(12):e0242704
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. driven by enforced motion of boundaries) and therefore weakly sensitiv
Externí odkaz:
http://arxiv.org/abs/2002.08123
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Autor:
Bourantas, George C., Zwick, Benjiamin F., Joldes, Grand R., Loukopoulos, Vassilios C., Tavner, Angus C. R., Wittek, Adam, Miller, Karol
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 dimensions. We numerically solve the governing flow equations in their stre
Externí odkaz:
http://arxiv.org/abs/1906.05387
Autor:
Mountris, Konstantinos A., Bourantas, George C., Millán, Daniel, Joldes, Grand R., Miller, Karol, Pueyo, Esther, Wittek, Adam
Publikováno v:
International Journal for Numerical Methods in Engineering 121, no. 3 (2020): 477-491
We present the Cell-based Maximum Entropy (CME) approximants in E3 space by constructing the smooth approximation distance function to polyhedral surfaces. CME is a meshfree approximation method combining the properties of the Maximum Entropy approxi
Externí odkaz:
http://arxiv.org/abs/1905.04929