Testing complete and compact radial basis functions for solution of eigenvalue problems using the boundary element method with direct integration

Carlos Loeffler; Abraão Frossard; Luciano Lara

doi:10.1080/15502287.2018.1430078

Testing complete and compact radial basis functions for solution of eigenvalue problems using the boundary element method with direct integration

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2018.1430078 ◽

2018 ◽

Vol 19 (2) ◽

pp. 117-128 ◽

Cited By ~ 2

Author(s):

Carlos Loeffler ◽

Abraão Frossard ◽

Luciano Lara

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Radial Basis Functions ◽

Eigenvalue Problems ◽

Basis Functions ◽

Direct Integration ◽

Radial Basis ◽

Element Method

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Dynamic analysis of plane elasticity with new complex Fourier radial basis functions in the dual reciprocity boundary element method

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.12.010 ◽

2014 ◽

Vol 38 (14) ◽

pp. 3641-3651 ◽

Cited By ~ 15

Author(s):

S. Hamzehei Javaran ◽

N. Khaji

Keyword(s):

Boundary Element Method ◽

Dynamic Analysis ◽

Boundary Element ◽

Radial Basis Functions ◽

Plane Elasticity ◽

Basis Functions ◽

Radial Basis ◽

Element Method

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SOLVING NONLINEAR DIFFERENTIAL EQUATIONS OF MECHANICS WITH THE BOUNDARY ELEMENT METHOD AND RADIAL BASIS FUNCTIONS

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19970115)40:1<61::aid-nme50>3.0.co;2-q ◽

1997 ◽

Vol 40 (1) ◽

pp. 61-73 ◽

Cited By ~ 19

Author(s):

R. POLLANDT

Keyword(s):

Boundary Element Method ◽

Differential Equations ◽

Boundary Element ◽

Radial Basis Functions ◽

Nonlinear Differential Equations ◽

Basis Functions ◽

Radial Basis ◽

Element Method

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Integrals of radial basis functions for boundary element method

Communications in Numerical Methods in Engineering ◽

10.1002/1099-0887(200010)16:10<683::aid-cnm368>3.0.co;2-i ◽

2000 ◽

Vol 16 (10) ◽

pp. 683-685 ◽

Cited By ~ 1

Author(s):

M. D. Mikhailov

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Radial Basis Functions ◽

Basis Functions ◽

Radial Basis ◽

Element Method

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An Approximation Method for Solving Inhomogeneous Linear and Nonlinear Differential Equations Using the Boundary Element Method and Radial Basis Functions

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/(sici)1521-4001(199808)78:8<545::aid-zamm545>3.0.co;2-7 ◽

1998 ◽

Vol 78 (8) ◽

pp. 545-553 ◽

Cited By ~ 1

Author(s):

R. Pollandt

Keyword(s):

Boundary Element Method ◽

Differential Equations ◽

Boundary Element ◽

Radial Basis Functions ◽

Approximation Method ◽

Nonlinear Differential Equations ◽

Basis Functions ◽

Radial Basis ◽

Linear And Nonlinear ◽

Element Method

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Dual reciprocity boundary element method using compactly supported radial basis functions for 3D linear elasticity with body forces

International Journal of Mechanics and Materials in Design ◽

10.1007/s10999-015-9327-9 ◽

2015 ◽

Vol 12 (4) ◽

pp. 463-476 ◽

Cited By ~ 3

Author(s):

Cheuk-Yu Lee ◽

Hui Wang ◽

Qing-Hua Qin

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Radial Basis Functions ◽

Linear Elasticity ◽

Basis Functions ◽

Compactly Supported ◽

Body Forces ◽

Radial Basis ◽

Element Method

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Dual Reciprocity Boundary Element Method for Magnetohydrodynamic Flow Using Radial Basis Functions

International Journal of Computational Fluid Dynamics ◽

10.1080/10618560290004026 ◽

2002 ◽

Vol 16 (1) ◽

pp. 49-63 ◽

Cited By ~ 20

Author(s):

M. Tezer-Sezgin ◽

S. Han Aydin

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Radial Basis Functions ◽

Magnetohydrodynamic Flow ◽

Basis Functions ◽

Radial Basis ◽

Element Method

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Properties of Gaussian radial basis functions in the dual reciprocity boundary element method

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00942764 ◽

1993 ◽

Vol 44 (6) ◽

pp. 1054-1067 ◽

Cited By ~ 14

Author(s):

T. Yamada ◽

L. C. Wrobel

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Radial Basis Functions ◽

Basis Functions ◽

Radial Basis ◽

Element Method

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The numerical study and comparison of radial basis functions in applications of the dual reciprocity boundary element method to convection-diffusion problems

10.1063/1.4940277 ◽

2016 ◽

Author(s):

Krittidej Chanthawara ◽

Sayan Kaennakham ◽

Wattana Toutip

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Radial Basis Functions ◽

Numerical Study ◽

Basis Functions ◽

Convection Diffusion ◽

Radial Basis ◽

Diffusion Problems ◽

Element Method

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A self-regularized Scheme for solving Helmholtz problems using the boundary element direct integration technique with radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.05.011 ◽

2020 ◽

Vol 118 ◽

pp. 11-19

Author(s):

Carlos Friedrich Loeffler ◽

Ramon Galimberti ◽

Hercules de Melo Barcelos

Keyword(s):

Boundary Element ◽

Radial Basis Functions ◽

Basis Functions ◽

Direct Integration ◽

Integration Technique ◽

Radial Basis

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NOVEL BASIS FUNCTIONS FOR THE PARTITION OF UNITY BOUNDARY ELEMENT METHOD FOR HELMHOLTZ PROBLEMS

10.5151/meceng-wccm2012-18368 ◽

2014 ◽

Author(s):

M. J. Peake ◽

J. Trevelyan ◽

G. Coates

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Partition Of Unity ◽

Basis Functions ◽

Element Method

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