-
1
-
-
85190572563
-
-
Partial Differential Equation ToolboxTMUser's Guide, The MathWorks, Inc.
-
Partial Differential Equation ToolboxTMUser's Guide, The MathWorks, Inc., 2009.
-
(2009)
-
-
-
3
-
-
0037474372
-
An h-adaptive method in the generalized finite differences
-
Benito J., Ureña F., Gavete L., Alvarez R. An h-adaptive method in the generalized finite differences. Comput. Methods Appl. Mech. Eng. 2003, 192(5-6):735-759.
-
(2003)
Comput. Methods Appl. Mech. Eng.
, vol.192
, Issue.5-6
, pp. 735-759
-
-
Benito, J.1
Ureña, F.2
Gavete, L.3
Alvarez, R.4
-
4
-
-
58249141995
-
Truncated Gaussian RBF differences are always inferior to finite differences of the same stencil width
-
Boyd J.P., Wang L. Truncated Gaussian RBF differences are always inferior to finite differences of the same stencil width. Commun. Comput. Phys. 2009, 5:42-60.
-
(2009)
Commun. Comput. Phys.
, vol.5
, pp. 42-60
-
-
Boyd, J.P.1
Wang, L.2
-
5
-
-
3042799255
-
-
Cambridge University Press, New York, NY, USA
-
Buhmann M.D. Radial Basis Functions 2003, Cambridge University Press, New York, NY, USA.
-
(2003)
Radial Basis Functions
-
-
Buhmann, M.D.1
-
6
-
-
1942539307
-
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
-
Cecil T., Qian J., Osher S. Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions. J. Comput. Phys. 2004, 196(1):327-347.
-
(2004)
J. Comput. Phys.
, vol.196
, Issue.1
, pp. 327-347
-
-
Cecil, T.1
Qian, J.2
Osher, S.3
-
7
-
-
3042713391
-
-
On the approximation power of local least squares polynomials, in: J. Levesley, I.J. Anderson, J.C. Mason (eds.), Algorithms for Approximation IV, University of Huddersfield, UK
-
O. Davydov, On the approximation power of local least squares polynomials, in: J. Levesley, I.J. Anderson, J.C. Mason (eds.), Algorithms for Approximation IV, University of Huddersfield, UK, 2002, pp. 346-353.
-
(2002)
, pp. 346-353
-
-
Davydov, O.1
-
8
-
-
77549083335
-
Error bound for radial basis interpolation in terms of a growth function
-
Nashboro Press, Brentwood, A. Cohen, J.-L. Merrien, L.L. Schumaker (Eds.)
-
Davydov O. Error bound for radial basis interpolation in terms of a growth function. Curve and Surface Fitting: Avignon 2006 2007, Nashboro Press, Brentwood, pp. 121-130. A. Cohen, J.-L. Merrien, L.L. Schumaker (Eds.).
-
(2007)
Curve and Surface Fitting: Avignon 2006
, pp. 121-130
-
-
Davydov, O.1
-
9
-
-
33750953467
-
Local hybrid approximation for scattered data fitting with bivariate splines
-
Davydov O., Morandi R., Sestini A. Local hybrid approximation for scattered data fitting with bivariate splines. Comput. Aided Geom. Des. 2006, 23(9):703-721.
-
(2006)
Comput. Aided Geom. Des.
, vol.23
, Issue.9
, pp. 703-721
-
-
Davydov, O.1
Morandi, R.2
Sestini, A.3
-
10
-
-
38048999750
-
Local RBF approximation for scattered data fitting with bivariate splines
-
BirkhSuser, M.G. de Bruin, D.H. Mache, J. Szabados (Eds.) Trends and Applications in Constructive Approximation
-
Davydov O., Sestini A., Morandi R. Local RBF approximation for scattered data fitting with bivariate splines. ISNM 2005, vol. 151:91-102. BirkhSuser. M.G. de Bruin, D.H. Mache, J. Szabados (Eds.).
-
(2005)
ISNM
, vol.151
, pp. 91-102
-
-
Davydov, O.1
Sestini, A.2
Morandi, R.3
-
11
-
-
3042793131
-
Scattered data fitting by direct extension of local polynomials to bivariate splines
-
Davydov O., Zeilfelder F. Scattered data fitting by direct extension of local polynomials to bivariate splines. Adv. Comput. Math. 2004, 21(3-4):223-271.
-
(2004)
Adv. Comput. Math.
, vol.21
, Issue.3-4
, pp. 223-271
-
-
Davydov, O.1
Zeilfelder, F.2
-
12
-
-
33644546424
-
A stencil adaptive algorithm for finite difference solution of incompressible viscous flows
-
Ding H., Shu C. A stencil adaptive algorithm for finite difference solution of incompressible viscous flows. J. Comput. Phys. 2006, 214(1):397-420.
-
(2006)
J. Comput. Phys.
, vol.214
, Issue.1
, pp. 397-420
-
-
Ding, H.1
Shu, C.2
-
13
-
-
0037127128
-
Meshfree, probabilistic determination of point sets and support regions for meshless computing
-
Du Q., Gunzburger M., Ju L.-L. Meshfree, probabilistic determination of point sets and support regions for meshless computing. Comput. Methods Appl. Mech. Engrg. 2002, 191:1349-1366.
-
(2002)
Comput. Methods Appl. Mech. Engrg.
, vol.191
, pp. 1349-1366
-
-
Du, Q.1
Gunzburger, M.2
Ju, L.-L.3
-
14
-
-
0030412998
-
An h-p adaptive method using clouds
-
Duarte C., Oden J. An h-p adaptive method using clouds. Methods Appl. Mech. Eng. 1996, 139(1-4):237-262.
-
(1996)
Methods Appl. Mech. Eng.
, vol.139
, Issue.1-4
, pp. 237-262
-
-
Duarte, C.1
Oden, J.2
-
15
-
-
85115723184
-
-
World Scientific Publishing Co., Inc., River Edge, NJ, USA
-
Fasshauer G.F. Meshfree Approximation Methods with MATLAB 2007, World Scientific Publishing Co., Inc., River Edge, NJ, USA.
-
(2007)
Meshfree Approximation Methods with MATLAB
-
-
Fasshauer, G.F.1
-
16
-
-
0030571096
-
Multistep scattered data interpolation using compactly supported radial basis functions
-
Floater M.S., Iske A. Multistep scattered data interpolation using compactly supported radial basis functions. J. Comput. Appl. Math. 1996, 73(1-2):65-78.
-
(1996)
J. Comput. Appl. Math.
, vol.73
, Issue.1-2
, pp. 65-78
-
-
Floater, M.S.1
Iske, A.2
-
18
-
-
0030496205
-
On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
-
Iske A., Sonar T. On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions. Numer. Math. 1996, 74(2):177-201.
-
(1996)
Numer. Math.
, vol.74
, Issue.2
, pp. 177-201
-
-
Iske, A.1
Sonar, T.2
-
19
-
-
0001845186
-
Finite difference techniques for variable grids
-
Jensen P.S. Finite difference techniques for variable grids. Comput. Struct. 1972, 2(1-2):17-29.
-
(1972)
Comput. Struct.
, vol.2
, Issue.1-2
, pp. 17-29
-
-
Jensen, P.S.1
-
20
-
-
61749095047
-
A new meshless collocation method for partial differential equations
-
Kamruzzaman M., Sonar T., Lutz T., Krämer E. A new meshless collocation method for partial differential equations. Commun. Numer. Methods Eng. 2008, 24(12):1617-1639.
-
(2008)
Commun. Numer. Methods Eng.
, vol.24
, Issue.12
, pp. 1617-1639
-
-
Kamruzzaman, M.1
Sonar, T.2
Lutz, T.3
Krämer, E.4
-
21
-
-
0038604335
-
Local multiquadric approximation for solving boundary value problems
-
Lee C.K., Liu X., Fan S.C. Local multiquadric approximation for solving boundary value problems. Comput. Mech. 2003, 30(5-6):396-409.
-
(2003)
Comput. Mech.
, vol.30
, Issue.5-6
, pp. 396-409
-
-
Lee, C.K.1
Liu, X.2
Fan, S.C.3
-
22
-
-
0032312176
-
An advancing point grid generation technique
-
Löhner R., Oñate E. An advancing point grid generation technique. Commun. Numer. Methods Eng. 1998, 14(12):1097-1108.
-
(1998)
Commun. Numer. Methods Eng.
, vol.14
, Issue.12
, pp. 1097-1108
-
-
Löhner, R.1
Oñate, E.2
-
23
-
-
85190567870
-
-
A. Üngör, Point placement for meshless methods using sphere packing and advancing front methods, in ICES00: Int. Conf. Comput. Eng. Sci., Los Angeles, USA
-
X.-Y. Li, S.-H. Teng, A. Üngör, Point placement for meshless methods using sphere packing and advancing front methods, in ICES00: Int. Conf. Comput. Eng. Sci., Los Angeles, USA, 2000, pp. 20-25.
-
(2000)
, pp. 20-25
-
-
Li, X.-Y.1
Teng, S.-H.2
-
24
-
-
0018430665
-
The finite difference method at arbitrary irregular grids and its application in applied mechanics
-
Liszka T., Orkisz J. The finite difference method at arbitrary irregular grids and its application in applied mechanics. Comput. Struct. 1980, 11:83-95.
-
(1980)
Comput. Struct.
, vol.11
, pp. 83-95
-
-
Liszka, T.1
Orkisz, J.2
-
26
-
-
0035817769
-
A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids
-
Liu G.R., Gu Y.T. A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids. J. Sound Vibr. 2001, 246(1):29-46.
-
(2001)
J. Sound Vibr.
, vol.246
, Issue.1
, pp. 29-46
-
-
Liu, G.R.1
Gu, Y.T.2
-
27
-
-
33646895162
-
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems
-
Liu Y., Hon Y.C., Liew K.M. A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Int. J. Numer. Methods Eng. 2006, 66:1153-1178.
-
(2006)
Int. J. Numer. Methods Eng.
, vol.66
, pp. 1153-1178
-
-
Liu, Y.1
Hon, Y.C.2
Liew, K.M.3
-
29
-
-
85190571778
-
-
Solving Poisson's equation using adaptive mesh refinement. Technical Report UCB/ERI M96/66, UC Berkeley
-
D.F. Martin, K.L. Cartwright. Solving Poisson's equation using adaptive mesh refinement. Technical Report UCB/ERI M96/66, UC Berkeley, 1996.
-
(1996)
-
-
Martin, D.F.1
Cartwright, K.L.2
-
30
-
-
68049145370
-
On approximation in meshless methods
-
Springer Verlag, J. Blowey, A. Craig (Eds.)
-
Melenk J.M. On approximation in meshless methods. Frontiers in Numerical Analysis Durham 2004 2005, 65-141. Springer Verlag. J. Blowey, A. Craig (Eds.).
-
(2005)
Frontiers in Numerical Analysis Durham 2004
, pp. 65-141
-
-
Melenk, J.M.1
-
31
-
-
0024883616
-
A comparison of adaptive refinement techniques for elliptic problems
-
Mitchell W.F. A comparison of adaptive refinement techniques for elliptic problems. ACM Trans. Math. Softw. 1989, 15(4):326-347.
-
(1989)
ACM Trans. Math. Softw.
, vol.15
, Issue.4
, pp. 326-347
-
-
Mitchell, W.F.1
-
32
-
-
85190567438
-
-
A space-time meshfree collocation method for coupled problems on irregularly-shaped domains, PhD thesis, TU Braunschweig, CSE - Comput. Sci. Eng.
-
H. Netuzhylov, A space-time meshfree collocation method for coupled problems on irregularly-shaped domains, PhD thesis, TU Braunschweig, CSE - Comput. Sci. Eng., 2008.
-
(2008)
-
-
Netuzhylov, H.1
-
33
-
-
55949119340
-
Meshless methods: a review and computer implementation aspects
-
Nguyen V.P., Rabczuk T., Bordas S., Duflot M. Meshless methods: a review and computer implementation aspects. Math. Comput. Simul. 2008, 79(3):763-813.
-
(2008)
Math. Comput. Simul.
, vol.79
, Issue.3
, pp. 763-813
-
-
Nguyen, V.P.1
Rabczuk, T.2
Bordas, S.3
Duflot, M.4
-
34
-
-
0030441245
-
A stabilized finite point method for analysis of fluid mechanics problems
-
Oñate E., Idelsohn S., Zienkiewicz O.C., Taylor R.L., Sacco C. A stabilized finite point method for analysis of fluid mechanics problems. Comp. Methods Appl. Mech. Eng. 1996, 39:315-346.
-
(1996)
Comp. Methods Appl. Mech. Eng.
, vol.39
, pp. 315-346
-
-
Oñate, E.1
Idelsohn, S.2
Zienkiewicz, O.C.3
Taylor, R.L.4
Sacco, C.5
-
35
-
-
36749065027
-
Adaptive methodology for meshless finite point method
-
Perazzo F., Löhner R., Perez-Pozo L. Adaptive methodology for meshless finite point method. Adv. Eng. Softw. 2008, 39(3):156-166.
-
(2008)
Adv. Eng. Softw.
, vol.39
, Issue.3
, pp. 156-166
-
-
Perazzo, F.1
Löhner, R.2
Perez-Pozo, L.3
-
36
-
-
22244473362
-
Adaptivity for structured meshfree particle methods in 2D and 3D
-
Rabczuk T., Belytschko T. Adaptivity for structured meshfree particle methods in 2D and 3D. Int. J. Numer. Methods Eng. 2005, 63(11):1559-1582.
-
(2005)
Int. J. Numer. Methods Eng.
, vol.63
, Issue.11
, pp. 1559-1582
-
-
Rabczuk, T.1
Belytschko, T.2
-
37
-
-
51249166702
-
Error estimates and condition numbers for radial basis function interpolation
-
Schaback R. Error estimates and condition numbers for radial basis function interpolation. Adv. Comput. Math. 1995, 3:251-264.
-
(1995)
Adv. Comput. Math.
, vol.3
, pp. 251-264
-
-
Schaback, R.1
-
39
-
-
55649093726
-
Minimal positive stencils in meshfree finite difference methods for the Poisson equation
-
Seibold B. Minimal positive stencils in meshfree finite difference methods for the Poisson equation. Comput. Methods Appl. Mech. Eng. 2008, 198(3-4):592-601.
-
(2008)
Comput. Methods Appl. Mech. Eng.
, vol.198
, Issue.3-4
, pp. 592-601
-
-
Seibold, B.1
-
40
-
-
67749100639
-
A finite point method based on directional differences
-
Shen L., Lv G., Shen Z. A finite point method based on directional differences. SIAM J. Numer. Anal. 2009, 47(3):2224-2242.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, Issue.3
, pp. 2224-2242
-
-
Shen, L.1
Lv, G.2
Shen, Z.3
-
41
-
-
0037436111
-
Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
-
Shu C., Ding H., Yeo K.S. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Eng. 2003, 192(7-8):941-954.
-
(2003)
Comput. Methods Appl. Mech. Eng.
, vol.192
, Issue.7-8
, pp. 941-954
-
-
Shu, C.1
Ding, H.2
Yeo, K.S.3
-
42
-
-
3042722159
-
On using radial basis functions in a 'finite difference mode' with applications to elasticity problems
-
Tolstykh A.I., Shirobokov D.A. On using radial basis functions in a 'finite difference mode' with applications to elasticity problems. Comput. Mech. 2003, 33(1):68-79.
-
(2003)
Comput. Mech.
, vol.33
, Issue.1
, pp. 68-79
-
-
Tolstykh, A.I.1
Shirobokov, D.A.2
-
44
-
-
29144437684
-
Scattered node compact finite difference-type formulas generated from radial basis functions
-
Wright G.B., Fornberg B. Scattered node compact finite difference-type formulas generated from radial basis functions. J. Comput. Phys. 2006, 212(1):99-123.
-
(2006)
J. Comput. Phys.
, vol.212
, Issue.1
, pp. 99-123
-
-
Wright, G.B.1
Fornberg, B.2
|