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

R. POLLANDT

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

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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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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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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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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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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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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Solving partial differential equations by meshless methods using radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.057 ◽

2007 ◽

Vol 185 (1) ◽

pp. 614-627 ◽

Cited By ~ 15

Author(s):

Yunxin Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Partial Differential ◽

Radial Basis

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An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations

Mathematical Sciences ◽

10.1007/s40096-021-00432-2 ◽

2021 ◽

Author(s):

Farnaz Farshadmoghadam ◽

Haman Deilami Azodi ◽

Mohammad Reza Yaghouti

Keyword(s):

Differential Equations ◽

Radial Basis Functions ◽

High Order ◽

Basis Functions ◽

Radial Basis

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