DOI: 10.1016/s0045-7825(02)00618-7. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier

Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations

10.1016/s0045-7825(02)00618-7

Crossref journal-article

Elsevier BV

Computer Methods in Applied Mechanics and Engineering (78)

Bibliography

Shu, C., Ding, H., & Yeo, K. S. (2003). Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible NavierâStokes equations. Computer Methods in Applied Mechanics and Engineering, 192(7â8), 941â954.

Authors 3

C Shu (first)
H Ding (additional)
K.S Yeo (additional)

References 26 Referenced 396

10.1086/112164 / Astro. J. / A numerical approach to the testing of the fission hypothesis by Lucy (1977)
10.1007/BF00364252 / Comput. Mech. / Generalizing the finite element method: diffuse approximation and diffuse elements by Nayroles (1992)
10.1002/nme.1620370205 / Int. J. Numer. Meth. Engrg. / Element-free Galerkin methods by Belytschko (1994)
10.1002/fld.1650200824 / Int. J. Numer. Meth. Fluids / Reproducing kernel particle methods by Liu (1995)
10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N / Int. J. Numer. Meth. Engrg. / The partition of unity method by Babuska (1997)
C.A. Duarte, J.T. Oden, Hp clouds––a meshless method to solve boundary-value problems, TICAM Report 95-05
10.1002/(SICI)1097-0207(19961130)39:22<3839::AID-NME27>3.0.CO;2-R / Int. J. Numer. Meth. Engrg. / A finite point method in computational mechanics, Application to convective transport and fluid flow by Ońate (1996)
10.1007/s004660050346 / Comput. Mech. / New meshless local Petrov–Galerkin (MLPG) approach in computational mechanics by Atluri (1998)
10.1002/nme.1620200905 / Int. J. Numer. Meth. Engrg. / An interpolation method for an irregular net of nodes by Liszka (1984)
10.1016/0898-1221(90)90270-T / Comput. Math. Appl. / Multiquadrics––A scattered scattered data approximation scheme with applications to computational fluid-dynamics––I. Surface approximations and partial derivative estimates by Kansa (1990)
10.1016/0898-1221(90)90271-K / Comput. Math. Appl. / Multiquadrics––A scattered scattered data approximation scheme with applications to computational fluid-dynamics––II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations by Kansa (1990)
{'key': '10.1016/S0045-7825(02)00618-7_BIB12', 'series-title': 'Surface Fitting and Multiresolution Methods', 'first-page': '131', 'article-title': 'Solving partial differential equations by collocation with radial basis functions', 'author': 'Fasshauer', 'year': '1997'} / Surface Fitting and Multiresolution Methods / Solving partial differential equations by collocation with radial basis functions by Fasshauer (1997)
10.1016/S0898-1221(01)00295-4 / Comput. Math. Appl. / Interpolation in the limit of increasingly flat radial basis functions by Forberg (2002)
10.1002/(SICI)1097-0207(20000720)48:8<1187::AID-NME942>3.0.CO;2-K / Int. J. Numer. Meth. Engrg. / A quasi-interpolation method for solving stiff ordinary differential equations by Hon (2000)
10.1016/S0898-1221(01)00293-0 / Comput. Math. Appl. / A meshless, integration-free, and boundary-only RBF technique by Chen (2002)
{'key': '10.1016/S0045-7825(02)00618-7_BIB16', 'first-page': '495', 'article-title': 'Dual reciprocity method using for Helmholtz-type operators', 'volume': '20', 'author': 'Chen', 'year': '1998', 'journal-title': 'Boundary Elem.'} / Boundary Elem. / Dual reciprocity method using for Helmholtz-type operators by Chen (1998)
10.1007/BF02836101 / Approx. Theory Appl. / Hermite–Bikhoff interpolation of scattered data by radial basis function by Wu (1992)
{'key': '10.1016/S0045-7825(02)00618-7_BIB18', 'series-title': 'Approaches to Numerical Relativity', 'author': 'Dubal', 'year': '1993'} / Approaches to Numerical Relativity by Dubal (1993)
10.1016/S0898-1221(01)00299-1 / Comput. Math. Appl. / Observations on the behavior of radial basis function approximations near boundaries by Fornberg (2002)
10.1016/S0898-1221(00)00071-7 / Comput. Math. Appl. / Circumventing the ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations by Kansa (2000)
10.1029/JB076i008p01905 / J. Geophys. Res. / Multiquadric equations of topography and other irregular surfaces by Hardy (1971)
{'key': '10.1016/S0045-7825(02)00618-7_BIB22', 'first-page': '181', 'article-title': 'Scattered data interpolation: tests of some methods', 'volume': '38', 'author': 'Franke', 'year': '1982', 'journal-title': 'Math. Comp.'} / Math. Comp. / Scattered data interpolation: tests of some methods by Franke (1982)
{'key': '10.1016/S0045-7825(02)00618-7_BIB23', 'series-title': 'Differential Quadrature and its Application in Engineering', 'author': 'Shu', 'year': '2000'} / Differential Quadrature and its Application in Engineering by Shu (2000)
10.1002/fld.1650150704 / Int. J. Numer. Meth. Fluids / Application of generalized differential quadrature to solve two-dimensional incompressible Navier–Stokes equations by Shu (1992)
10.1002/(SICI)1099-0887(199708)13:8<643::AID-CNM92>3.0.CO;2-F / Commun. Numer. Meth. Engrg. / Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems by Shu (1997)
10.1002/fld.1650030305 / Int. J. Numer. Meth. Fluids / Natural convection of air in a square cavity: a benchmark numerical solution by de Vahl Davis (1983)

Dates

Type	When
Created	22 years, 7 months ago (Jan. 30, 2003, 10:07 a.m.)
Deposited	1 year, 7 months ago (Jan. 8, 2024, 4:49 p.m.)
Indexed	1 month ago (Aug. 6, 2025, 8:46 a.m.)
Issued	22 years, 7 months ago (Feb. 1, 2003)
Published	22 years, 7 months ago (Feb. 1, 2003)
Published Print	22 years, 7 months ago (Feb. 1, 2003)

Funders 0

None

BibTeX

@article{Shu_2003, title={Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations}, volume={192}, ISSN={0045-7825}, url={http://dx.doi.org/10.1016/s0045-7825(02)00618-7}, DOI={10.1016/s0045-7825(02)00618-7}, number={7–8}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Shu, C and Ding, H and Yeo, K.S}, year={2003}, month=feb, pages={941–954} }

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