Fluence rate distribution in laser-induced interstitial thermotherapy by mesh free collocation

DOI10.1016/j.ijheatmasstransfer.2010.05.020zbMath1194.80079OpenAlexW2049555093MaRDI QIDQ993040

Xiao Xu, Yildiz Bayazitoglu, Andrew J. jun. Meade

Publication date: 10 September 2010

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2010.05.020

zbMATH Keywords

collocationradial basis functionLITTradiant transport

Mathematics Subject Classification ID

Medical applications (general) (92C50) Lasers, masers, optical bistability, nonlinear optics (78A60) Monte Carlo methods applied to problems in optics and electromagnetic theory (78M31)

Uses Software

• Mfree2D

Cites Work

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• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Meshless element free Galerkin method for unsteady nonlinear heat transfer problems
• The role of the multiquadric shape parameters in solving elliptic partial differential equations
• Meshless method for radiation heat transfer in graded index medium
• Gold nanoshell density variation with laser power for induced hyperthermia
• Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• A note on laser penetration in nanoshell deposited tissue

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