-
1
-
-
0032136132
-
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
-
Atluri S.N., Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 1998, 22:117-127.
-
(1998)
Comput. Mech.
, vol.22
, pp. 117-127
-
-
Atluri, S.N.1
Zhu, T.2
-
3
-
-
77952585928
-
-
Argonne National Laboratory
-
Balay S., Buschelman K., Eijkhout V., Gropp W.D., Kaushik D., Knepley M., Curfman-McInnes L., Smith B.F., Zhang H. PETSc User's Manual. Technical Report ANL-95/11 - Revision 3.0.0 2008, Argonne National Laboratory.
-
(2008)
PETSc User's Manual. Technical Report ANL-95/11 - Revision 3.0.0
-
-
Balay, S.1
Buschelman, K.2
Eijkhout, V.3
Gropp, W.D.4
Kaushik, D.5
Knepley, M.6
Curfman-McInnes, L.7
Smith, B.F.8
Zhang, H.9
-
4
-
-
33847790799
-
Computing high-Reynolds number vortical flows: a highly accurate method with a fully meshless formulation
-
Elsevier B.V
-
Barba L.A. Computing high-Reynolds number vortical flows: a highly accurate method with a fully meshless formulation. Parallel Computational Fluid Dynamics - Multidisciplinary Applications 2005, 305-312. Elsevier B.V.
-
(2005)
Parallel Computational Fluid Dynamics - Multidisciplinary Applications
, pp. 305-312
-
-
Barba, L.A.1
-
5
-
-
33847776318
-
Emergence and evolution of tripole vortices from net-circulation initial conditions
-
Barba L.A., Leonard A. Emergence and evolution of tripole vortices from net-circulation initial conditions. Phys. Fluids 2007, 19(1):017101.
-
(2007)
Phys. Fluids
, vol.19
, Issue.1
, pp. 017101
-
-
Barba, L.A.1
Leonard, A.2
-
6
-
-
13444283314
-
Advances in viscous vortex methods - meshless spatial adaption based on radial basis function interpolation
-
Barba L.A., Leonard A., Allen C.B. Advances in viscous vortex methods - meshless spatial adaption based on radial basis function interpolation. Int. J. Num. Meth. Fluids 2005, 47(5):387-421.
-
(2005)
Int. J. Num. Meth. Fluids
, vol.47
, Issue.5
, pp. 387-421
-
-
Barba, L.A.1
Leonard, A.2
Allen, C.B.3
-
7
-
-
72049126104
-
Global field interpolation for particle methods
-
Barba L.A., Rossi L.F. Global field interpolation for particle methods. J. Comp. Phys. 2010, 229(4):1292-1310.
-
(2010)
J. Comp. Phys.
, vol.229
, Issue.4
, pp. 1292-1310
-
-
Barba, L.A.1
Rossi, L.F.2
-
8
-
-
0033442485
-
Fast fitting of radial basis functions: methods based on preconditioned GMRES iteration
-
Beatson R.K., Cherrie J.B., Mouat C.T. Fast fitting of radial basis functions: methods based on preconditioned GMRES iteration. Adv. Comp. Math. November 1999, 11(2-3):253-270.
-
(1999)
Adv. Comp. Math.
, vol.11
, Issue.2-3
, pp. 253-270
-
-
Beatson, R.K.1
Cherrie, J.B.2
Mouat, C.T.3
-
9
-
-
0034775741
-
Fast solution of the radial basis function interpolation equations: domain decomposition methods
-
Beatson R.K., Light W.A., Billings S. Fast solution of the radial basis function interpolation equations: domain decomposition methods. SIAM J. Sci. Comput. 2000, 22(5):1717-1740.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, Issue.5
, pp. 1717-1740
-
-
Beatson, R.K.1
Light, W.A.2
Billings, S.3
-
10
-
-
0003024724
-
Fast evaluation of radial basis functions: I
-
Beatson R.K., Newsam G.N. Fast evaluation of radial basis functions: I. Comp. Math. Applic. 1992, 24(12):7-19.
-
(1992)
Comp. Math. Applic.
, vol.24
, Issue.12
, pp. 7-19
-
-
Beatson, R.K.1
Newsam, G.N.2
-
11
-
-
0010044646
-
An iterative method for thin plate spline interpolation that employs approximations to Lagrange functions
-
Longman Sci. Tech, D.F. Griffiths, G.A. Watson (Eds.)
-
Beatson R.K., Powell M.J.D. An iterative method for thin plate spline interpolation that employs approximations to Lagrange functions. Numerical Analysis 1993, 17-39. Longman Sci. Tech. D.F. Griffiths, G.A. Watson (Eds.).
-
(1993)
Numerical Analysis
, pp. 17-39
-
-
Beatson, R.K.1
Powell, M.J.D.2
-
13
-
-
84988281754
-
Interpolation of geophysical data using continuous global surfaces
-
Billings S.D., Beatson R.K., Newsam G.N. Interpolation of geophysical data using continuous global surfaces. Geophysics 2002, 67(6):1810-1822.
-
(2002)
Geophysics
, vol.67
, Issue.6
, pp. 1810-1822
-
-
Billings, S.D.1
Beatson, R.K.2
Newsam, G.N.3
-
15
-
-
0033295858
-
A restricted additive Schwarz preconditioner for general sparse linear systems
-
Cai X.-C., Sarkis M. A restricted additive Schwarz preconditioner for general sparse linear systems. SIAM J. Sci. Comput. 1997, 21:792-797.
-
(1997)
SIAM J. Sci. Comput.
, vol.21
, pp. 792-797
-
-
Cai, X.-C.1
Sarkis, M.2
-
16
-
-
0031060810
-
Surface interpolation with radial basis functions for medical imaging
-
Carr J.C., Fright W.R., Beatson R.K. Surface interpolation with radial basis functions for medical imaging. IEEE Trans. Med. Imag. 1997, 16(1):96-107.
-
(1997)
IEEE Trans. Med. Imag.
, vol.16
, Issue.1
, pp. 96-107
-
-
Carr, J.C.1
Fright, W.R.2
Beatson, R.K.3
-
17
-
-
1842863970
-
New RBF collocation schemes and kernel RBFs with applications
-
Chen W. New RBF collocation schemes and kernel RBFs with applications. Lect. Notes Comput. Sci. Engrg. 2002, 26:75-86.
-
(2002)
Lect. Notes Comput. Sci. Engrg.
, vol.26
, pp. 75-86
-
-
Chen, W.1
-
20
-
-
4043077709
-
Why restricted additive Schwarz converges faster than additive Schwarz
-
Efstathiou E., Gander M.J. Why restricted additive Schwarz converges faster than additive Schwarz. BIT Numer. Math. 2003, 43:945-959.
-
(2003)
BIT Numer. Math.
, vol.43
, pp. 945-959
-
-
Efstathiou, E.1
Gander, M.J.2
-
21
-
-
0002434097
-
Solving partial differential equations by collocation with radial basis functions
-
Vanderbilt University Press, A. Le Mehaute, C. Rabut, L.L. Schumaker (Eds.)
-
Fasshauer G.E. Solving partial differential equations by collocation with radial basis functions. Surface Fitting and Multiresolution Methods 1997, 131-138. Vanderbilt University Press. A. Le Mehaute, C. Rabut, L.L. Schumaker (Eds.).
-
(1997)
Surface Fitting and Multiresolution Methods
, pp. 131-138
-
-
Fasshauer, G.E.1
-
23
-
-
11444252972
-
A Krylov subspace algorithm for multiquadric interpolation in many dimensions
-
Faul A.C., Goodsell G., Powell M.J.D. A Krylov subspace algorithm for multiquadric interpolation in many dimensions. IMA J. Numer. Anal. 2005, 25:1-24.
-
(2005)
IMA J. Numer. Anal.
, vol.25
, pp. 1-24
-
-
Faul, A.C.1
Goodsell, G.2
Powell, M.J.D.3
-
24
-
-
84968515237
-
Scattered data interpolation: tests of some methods
-
Franke R. Scattered data interpolation: tests of some methods. Math. Comp. 1982, 38(157):181-200.
-
(1982)
Math. Comp.
, vol.38
, Issue.157
, pp. 181-200
-
-
Franke, R.1
-
27
-
-
52649096416
-
Fast radial basis function interpolation via preconditioned Krylov iteration
-
Gumerov N.A., Duraiswami R. Fast radial basis function interpolation via preconditioned Krylov iteration. SIAM J. Sci. Comput. 2007, 29(5):1876-1899.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, Issue.5
, pp. 1876-1899
-
-
Gumerov, N.A.1
Duraiswami, R.2
-
28
-
-
0025206382
-
Theory and applications of the multiquadric-biharmonic method
-
Hardy R.L. Theory and applications of the multiquadric-biharmonic method. Comput. Math. Appl. 1990, 19(8/9):163-208.
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 163-208
-
-
Hardy, R.L.1
-
29
-
-
21044443461
-
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
-
Hughes T.J.R., Cottrell J.A., Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Engrg. 2005, 194(39-41):4135-4195.
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, Issue.39-41
, pp. 4135-4195
-
-
Hughes, T.J.R.1
Cottrell, J.A.2
Bazilevs, Y.3
-
30
-
-
3142685852
-
A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations
-
Ingber M.S., Chen C.S., Tanski J.A. A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Int. J. Numer. Methods Engrg. 2004, 60:2183-2201.
-
(2004)
Int. J. Numer. Methods Engrg.
, vol.60
, pp. 2183-2201
-
-
Ingber, M.S.1
Chen, C.S.2
Tanski, J.A.3
-
31
-
-
0025229330
-
Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics, I. Surface approximations and partial derivative estimates
-
Kansa E.J. Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics, I. Surface approximations and partial derivative estimates. Comput. Math. Appl. 1990, 19(8/9):127-145.
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 127-145
-
-
Kansa, E.J.1
-
32
-
-
0025210711
-
Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics, II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
-
Kansa E.J. Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics, II. Solutions to parabolic, hyperbolic and elliptic partial differential equations. Comput. Math. Appl. 1990, 19(8/9):147-161.
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 147-161
-
-
Kansa, E.J.1
-
33
-
-
0034173976
-
Circumventing the ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations
-
Kansa E.J., Hon Y.C. Circumventing the ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations. Comput. Math. Appl. 2000, 39:123-137.
-
(2000)
Comput. Math. Appl.
, vol.39
, pp. 123-137
-
-
Kansa, E.J.1
Hon, Y.C.2
-
34
-
-
0040309074
-
Vortex methods for flow simulation
-
Leonard A. Vortex methods for flow simulation. J. Comp. Phys. 1980, 37:289-335.
-
(1980)
J. Comp. Phys.
, vol.37
, pp. 289-335
-
-
Leonard, A.1
-
35
-
-
0242657798
-
Radial basis function method for 1-D and 2-D groundwater contaminant transport modeling
-
Li J., Chen Y., Pepper D. Radial basis function method for 1-D and 2-D groundwater contaminant transport modeling. Comput. Mech. 2003, 23:10-15.
-
(2003)
Comput. Mech.
, vol.23
, pp. 10-15
-
-
Li, J.1
Chen, Y.2
Pepper, D.3
-
36
-
-
2342536532
-
Domain decomposition for radial basis meshless methods
-
Li J., Hon Y.C. Domain decomposition for radial basis meshless methods. Numer. Methods Partial Differ. Equ. 2004, 20(3):450-462.
-
(2004)
Numer. Methods Partial Differ. Equ.
, vol.20
, Issue.3
, pp. 450-462
-
-
Li, J.1
Hon, Y.C.2
-
37
-
-
18144408406
-
Preconditioning for radial basis functions with domain decomposition methods
-
Ling L., Kansa E.J. Preconditioning for radial basis functions with domain decomposition methods. Math. Comput. Model. 2004, 40:1413-1427.
-
(2004)
Math. Comput. Model.
, vol.40
, pp. 1413-1427
-
-
Ling, L.1
Kansa, E.J.2
-
38
-
-
16244376155
-
A least-squares preconditioner for radial basis functions collocation methods
-
Ling L., Kansa E.J. A least-squares preconditioner for radial basis functions collocation methods. Adv. Comput. Math. 2005, 23:31-54.
-
(2005)
Adv. Comput. Math.
, vol.23
, pp. 31-54
-
-
Ling, L.1
Kansa, E.J.2
-
39
-
-
84924274968
-
Reproducing kernel particle methods for structural dynamics
-
Liu W.K., Jun S., Li S., Adee J., Belytschko T. Reproducing kernel particle methods for structural dynamics. Int. J. Numer. Methods Engrg. 1995, 38(10):1655-1679.
-
(1995)
Int. J. Numer. Methods Engrg.
, vol.38
, Issue.10
, pp. 1655-1679
-
-
Liu, W.K.1
Jun, S.2
Li, S.3
Adee, J.4
Belytschko, T.5
-
40
-
-
84966244353
-
Multivariate interpolation and conditionally positive definite functions: II
-
Madych W.R., Nelson S.A. Multivariate interpolation and conditionally positive definite functions: II. Math. Comp. 1990, 54(189):211-230.
-
(1990)
Math. Comp.
, vol.54
, Issue.189
, pp. 211-230
-
-
Madych, W.R.1
Nelson, S.A.2
-
41
-
-
0242317239
-
Indirect RBFN method with thin plate splines for numerical solution of differential equations
-
Mai-Duy N., Tran-Cong T. Indirect RBFN method with thin plate splines for numerical solution of differential equations. Comput. Model. Engrg. Sci. 2003, 4(1):85-102.
-
(2003)
Comput. Model. Engrg. Sci.
, vol.4
, Issue.1
, pp. 85-102
-
-
Mai-Duy, N.1
Tran-Cong, T.2
-
42
-
-
34250122797
-
Interpolation of scattered data: distance matrices and conditionally positive definite functions
-
Micchelli C.A. Interpolation of scattered data: distance matrices and conditionally positive definite functions. Constr. Approx. 1986, 2:11-22.
-
(1986)
Constr. Approx.
, vol.2
, pp. 11-22
-
-
Micchelli, C.A.1
-
43
-
-
0040944133
-
Truncated Laurent expansions for the fast evaluation of thin plate splines
-
Powell M.J.D. Truncated Laurent expansions for the fast evaluation of thin plate splines. Numer. Algorithms 1993, 5:99-120.
-
(1993)
Numer. Algorithms
, vol.5
, pp. 99-120
-
-
Powell, M.J.D.1
-
44
-
-
17644380621
-
Rapid evaluation of radial basis functions
-
Roussos G., Baxter B.J.C. Rapid evaluation of radial basis functions. J. Comput. Appl. Math. 2005, 180(1):51-70.
-
(2005)
J. Comput. Appl. Math.
, vol.180
, Issue.1
, pp. 51-70
-
-
Roussos, G.1
Baxter, B.J.C.2
-
47
-
-
67349211763
-
Fast radial basis function interpolation with Gaussians by localization and iteration
-
Torres C.E., Barba L.A. Fast radial basis function interpolation with Gaussians by localization and iteration. J. Comp. Phys. 2009, 228:4976-4999.
-
(2009)
J. Comp. Phys.
, vol.228
, pp. 4976-4999
-
-
Torres, C.E.1
Barba, L.A.2
-
48
-
-
0033115928
-
Multi-zone decomposition for simulation of time-dependent problems using the multiquadric scheme
-
Wong S.M., Hon Y.C., Li T.S., Chung S.L. Multi-zone decomposition for simulation of time-dependent problems using the multiquadric scheme. Comput. Math. Appl. 1999, 37:23-43.
-
(1999)
Comput. Math. Appl.
, vol.37
, pp. 23-43
-
-
Wong, S.M.1
Hon, Y.C.2
Li, T.S.3
Chung, S.L.4
-
49
-
-
34548697714
-
Calculation of isotropic turbulence using a pure Lagrangian vortex method
-
Yokota R., Sheel T.K., Obi S. Calculation of isotropic turbulence using a pure Lagrangian vortex method. J. Comp. Phys. 2007, 226:1589-1606.
-
(2007)
J. Comp. Phys.
, vol.226
, pp. 1589-1606
-
-
Yokota, R.1
Sheel, T.K.2
Obi, S.3
|