Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation

2015 ◽  
Vol 61 ◽  
pp. 218-225 ◽  
Author(s):  
Carlos Friedrich Loeffler ◽  
Webe João Mansur ◽  
Hércules de Melo Barcelos ◽  
André Bulcão
Keyword(s):  
Boundary Element Method ◽  
Radial Basis Function ◽  
Boundary Element ◽  
Basis Function ◽  
Radial Basis Function Interpolation ◽  
Radial Basis ◽  
Element Method

scholarly journals A Hybrid Shapeless Radial Basis Function Applied With the Dual Reciprocity Boundary Element Method

2021 ◽  
Vol 20 ◽  
pp. 159-170
Author(s):  
Krittidej Chanthawara ◽  
Sayan Kaennakham
Keyword(s):  
Boundary Element Method ◽  
Radial Basis Function ◽  
Boundary Element ◽  
Basis Function ◽  
Alternative Scheme ◽  
Good Shape ◽  
Radial Basis ◽  
The Right ◽  
Solution Accuracy ◽  
Element Method

The so-called Dual Reciprocity Boundary Element Method (DRBEM) has been a popular alternative scheme designed to alleviate problems encountered when using the traditional BEM for numerically solving engineering problems that are described by PDEs. The method starts with writing the right-hand-side of Poisson equation as a summation of a pre-chosen multivariate function known as ‘Radial Basis Function (RBF)’. Nevertheless, a common undesirable feature of using RBFs is the appearance of the so-called ‘shape parameter’ whose value greatly affects the solution accuracy. In this work, a new form of RBF containing no shape (so that it can be called ‘shapefree/shapeless’) is invented, proposed and applied in conjunction with DRBEM is validated numerically. The solutions obtained are compared against both exact ones and those presented in literature where appropriate, for validation. It is found that reasonably and comparatively good approximated solutions of PDEs can still be obtained without the difficulty of choosing a good shape for RBF used.

Impulse Noise Removal Using Adaptive Radial Basis Function Interpolation

2016 ◽  
Vol 36 (3) ◽  
pp. 1192-1223 ◽  
Author(s):  
T. Veerakumar ◽  
Ravi Prasad K. Jagannath ◽  
Badri Narayan Subudhi ◽  
S. Esakkirajan
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Impulse Noise ◽  
Noise Removal ◽  
Radial Basis Function Interpolation ◽  
Impulse Noise Removal ◽  
Radial Basis

scholarly journals Solution of the quantum fluid dynamical equations with radial basis function interpolation

2000 ◽  
Vol 61 (5) ◽  
pp. 5967-5976 ◽  
Author(s):  
Xu-Guang Hu ◽  
Tak-San Ho ◽  
Herschel Rabitz ◽  
Attila Askar
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Dynamical Equations ◽  
Quantum Fluid ◽  
Radial Basis Function Interpolation ◽  
Radial Basis

scholarly journals Rapid Interactive and Intuitive Segmentation of 3D Medical Images Using Radial Basis Function Interpolation

2017 ◽  
Vol 3 (4) ◽  
pp. 56
Author(s):  
Tanja Kurzendorfer ◽  
Peter Fischer ◽  
Negar Mirshahzadeh ◽  
Thomas Pohl ◽  
Alexander Brost ◽  
...  
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Medical Images ◽  
Radial Basis Function Interpolation ◽  
Radial Basis
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