-
1
-
-
0028259955
-
Element-Free Galerkin Methods
-
T. Belytscho, Y. Y. Lu, and L. Gu, Element-Free Galerkin Methods, Int. J. Numer. Meth., vol. 37, pp. 229-256, 1994.
-
(1994)
Int. J. Numer. Meth
, vol.37
, pp. 229-256
-
-
Belytscho, T.1
Lu, Y.Y.2
Gu, L.3
-
3
-
-
0032136132
-
-
S. N. Atluri and T. Zhu, A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Comput. Mech., 22, pp. 117-127, 1998.
-
S. N. Atluri and T. Zhu, A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Comput. Mech., vol. 22, pp. 117-127, 1998.
-
-
-
-
5
-
-
0030380578
-
The Partition of Unity Finite Element Method: Basic Theory and Application
-
J. M. Melenk and I. Babuska, The Partition of Unity Finite Element Method: Basic Theory and Application, Comput. Meth. Appl. Mech. and Eng., vol. 139, pp. 289-316, 1996.
-
(1996)
Comput. Meth. Appl. Mech. and Eng
, vol.139
, pp. 289-316
-
-
Melenk, J.M.1
Babuska, I.2
-
6
-
-
0025229330
-
-
E. J. Kansa, Multiquadrics - A Scattered Data Approximation Scheme with Applications to Computational Fluid Dynamics I - Surface Approximations and Partial Derivative Estimates, Comput. Math. Appl., 19, pp. 127-145, 1990.
-
E. J. Kansa, Multiquadrics - A Scattered Data Approximation Scheme with Applications to Computational Fluid Dynamics I - Surface Approximations and Partial Derivative Estimates, Comput. Math. Appl., vol. 19, pp. 127-145, 1990.
-
-
-
-
7
-
-
0025210711
-
-
E. J. Kansa, 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., 19, pp. 147-161, 1990.
-
E. J. Kansa, 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., vol. 19, pp. 147-161, 1990.
-
-
-
-
8
-
-
0034173976
-
Circumventing the Ill-Conditioning Problem with Multiquadric Radial Basis Functions: Applications to Elliptic Partial Differential Equations
-
E. J. Kansa and Y. C. Hon, Circumventing the Ill-Conditioning Problem with Multiquadric Radial Basis Functions: Applications to Elliptic Partial Differential Equations, Comput. Math. Appl., vol. 39, pp. 123-137, 2000.
-
(2000)
Comput. Math. Appl
, vol.39
, pp. 123-137
-
-
Kansa, E.J.1
Hon, Y.C.2
-
9
-
-
0032091936
-
A Mesh-Free Method for Linear Diffusion Equations
-
C. S. Chen, Y. F. Rashed, and M. A. Golbberg, A Mesh-Free Method for Linear Diffusion Equations, Numer. Heat Transfer B, vol. 33, pp. 469-486, 1998.
-
(1998)
Numer. Heat Transfer B
, vol.33
, pp. 469-486
-
-
Chen, C.S.1
Rashed, Y.F.2
Golbberg, M.A.3
-
10
-
-
33746337349
-
Numerical Solution of Temperature-Dependent Thermal Conductivity Problems Using a Meshless Method
-
A. Singh, I. V. Singh, and R. Paraksh, Numerical Solution of Temperature-Dependent Thermal Conductivity Problems Using a Meshless Method, Numer. Heat Transfer A, vol. 50, pp. 125-145, 2006.
-
(2006)
Numer. Heat Transfer A
, vol.50
, pp. 125-145
-
-
Singh, A.1
Singh, I.V.2
Paraksh, R.3
-
11
-
-
34249019852
-
Nonlinear Thermal Analysis of Carbon Nanotube Composites by Element Free Galerkin Method
-
I. V. Singh, M. Tanaka, and M. Endo, Nonlinear Thermal Analysis of Carbon Nanotube Composites by Element Free Galerkin Method, Numer. Heat Transfer A, vol. 51, pp. 1087-1102, 2007.
-
(2007)
Numer. Heat Transfer A
, vol.51
, pp. 1087-1102
-
-
Singh, I.V.1
Tanaka, M.2
Endo, M.3
-
12
-
-
0000348423
-
Performance and Accuracy of a Meshless Method for Laminar Natural Convection
-
H. Sadat and S. Couturier, Performance and Accuracy of a Meshless Method for Laminar Natural Convection, Numer. Heat Transfer B, vol. 37, pp.455-467, 2000.
-
(2000)
Numer. Heat Transfer B
, vol.37
, pp. 455-467
-
-
Sadat, H.1
Couturier, S.2
-
13
-
-
0036573551
-
A Meshless Formulation for Three-Dimensional Laminar Natural Convection
-
T. Sophy, H. Sadat, and C. Prax, A Meshless Formulation for Three-Dimensional Laminar Natural Convection, Numer. Heat Transfer B, vol. 41, pp. 433-445, 2002.
-
(2002)
Numer. Heat Transfer B
, vol.41
, pp. 433-445
-
-
Sophy, T.1
Sadat, H.2
Prax, C.3
-
14
-
-
0030441245
-
A Stabilized Finite Point Method for Analysis of Fluid Mechanics Problems
-
E. Ofiate, S. Idelsohnl, O. C. Zienkiewicz, R. L. Taylor, and C. Sacco, A Stabilized Finite Point Method for Analysis of Fluid Mechanics Problems, Comput. Meth. Appl. Mech. Eng., vol. 139, pp. 315-346, 1996.
-
(1996)
Comput. Meth. Appl. Mech. Eng
, vol.139
, pp. 315-346
-
-
Ofiate, E.1
Idelsohnl, S.2
Zienkiewicz, O.C.3
Taylor, R.L.4
Sacco, C.5
-
15
-
-
22444436414
-
Parallel Meshless EFG Solution for Fluid Flow Problems
-
I. V. Singh and P. K. Jain, Parallel Meshless EFG Solution for Fluid Flow Problems, Numer. Heat Transfer B, vol. 48, pp. 45-66, 2005.
-
(2005)
Numer. Heat Transfer B
, vol.48
, pp. 45-66
-
-
Singh, I.V.1
Jain, P.K.2
-
16
-
-
27744487625
-
Application of Meshless Local Petrov-Galerkin (MLPG) Approach to Simulation of Incompressible Flow
-
Y. L. Wu, F. R. Liu, and Y. T. Gu, Application of Meshless Local Petrov-Galerkin (MLPG) Approach to Simulation of Incompressible Flow, Numer. Heat Transfer B, vol. 48, pp. 459-475, 2005.
-
(2005)
Numer. Heat Transfer B
, vol.48
, pp. 459-475
-
-
Wu, Y.L.1
Liu, F.R.2
Gu, Y.T.3
-
17
-
-
33646422497
-
Meshless Techniques for Convection Dominated Problems
-
Y. T. Gu and G. R. Liu, Meshless Techniques for Convection Dominated Problems, Comput. Mech., vol. 38, pp. 171-182, 2006.
-
(2006)
Comput. Mech
, vol.38
, pp. 171-182
-
-
Gu, Y.T.1
Liu, G.R.2
-
18
-
-
84968515237
-
Scattered Data Interpolation: Test of Some Methods
-
R. Franke, Scattered Data Interpolation: Test of Some Methods, Math. Comput., vol. 38, pp. 181-200, 1982.
-
(1982)
Math. Comput
, vol.38
, pp. 181-200
-
-
Franke, R.1
-
19
-
-
0036466998
-
Mesh-Free Radial Basis Function Network Methods with Domain Decomposition for Approximation of Functions and Numerical Solution of Poisson's Equation
-
N. Mai-Duy and T. Tran-Cong, Mesh-Free Radial Basis Function Network Methods with Domain Decomposition for Approximation of Functions and Numerical Solution of Poisson's Equation, Eng. Anal. Boundary Elements, vol. 26, pp. 133-156, 2002.
-
(2002)
Eng. Anal. Boundary Elements
, vol.26
, pp. 133-156
-
-
Mai-Duy, N.1
Tran-Cong, T.2
-
20
-
-
0042334783
-
Exponential Convergence and H-c Multiquadric Collocation Method for Partial Differential Equations
-
A. H.-D. Cheng, M. A. Golberg, E. J. Kansa, and G. Zammito, Exponential Convergence and H-c Multiquadric Collocation Method for Partial Differential Equations, Numer. Meth. PDE, vol. 19, pp. 571-594, 2003.
-
(2003)
Numer. Meth. PDE
, vol.19
, pp. 571-594
-
-
Cheng, A.H.-D.1
Golberg, M.A.2
Kansa, E.J.3
Zammito, G.4
-
22
-
-
0038679072
-
Spectral and Pseudo-Spectral Approximations of the Navier-Stokes Equations
-
Y. Maday and A. Quateroni, Spectral and Pseudo-Spectral Approximations of the Navier-Stokes Equations, SIAM J. Numer. Anal., vol. 19, pp. 761-780, 1982.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, pp. 761-780
-
-
Maday, Y.1
Quateroni, A.2
-
23
-
-
48549109395
-
A Spectral Element Method of Fluid Dynamics: Laminar Flow in a Channel Expansion
-
A. Patera, A Spectral Element Method of Fluid Dynamics: Laminar Flow in a Channel Expansion, J. Comput. Phys., vol. 54, pp. 468-488, 1984.
-
(1984)
J. Comput. Phys
, vol.54
, pp. 468-488
-
-
Patera, A.1
-
24
-
-
0001947695
-
Improvement in Spectral Collocation Discretization through a Multiple Domain Technique
-
M. Macaraeg and C. L. Street, Improvement in Spectral Collocation Discretization through a Multiple Domain Technique, Appl. Numer. Math., vol. 2, pp. 95-108, 1986.
-
(1986)
Appl. Numer. Math
, vol.2
, pp. 95-108
-
-
Macaraeg, M.1
Street, C.L.2
-
25
-
-
0008912968
-
A Pseudo-Spectral Matrix Element Method for Solution of Three Dimensional Incompressible Flows and Its Parallel Implementation
-
C. K. Hwar, R. Hirsch, T. Taylor, and A. P. Rosenberg, A Pseudo-Spectral Matrix Element Method for Solution of Three Dimensional Incompressible Flows and Its Parallel Implementation, J. Comput. Phys., vol. 83, pp. 260-291, 1989.
-
(1989)
J. Comput. Phys
, vol.83
, pp. 260-291
-
-
Hwar, C.K.1
Hirsch, R.2
Taylor, T.3
Rosenberg, A.P.4
-
26
-
-
33645679664
-
RBF Collocation Methods as Pseudo-Spectral Methods
-
A. Kassab, C. A. Brebbia, and E. Divo eds, WIT Press, Southampton, UK
-
G. Fasshauer, RBF Collocation Methods as Pseudo-Spectral Methods, in A. Kassab, C. A. Brebbia, and E. Divo (eds.), Boundary Elements XVII, pp. 47-57, WIT Press, Southampton, UK, 2005.
-
(2005)
Boundary Elements XVII
, pp. 47-57
-
-
Fasshauer, G.1
-
27
-
-
0001739142
-
The Theory of Radial Basis Function Approximation
-
W. Light ed, Oxford Science, Oxford, UK
-
M. J. D. Powell, The Theory of Radial Basis Function Approximation, in W. Light (ed.), Advances in Numerical Analysis, Vol. II, pp. 143-167, Oxford Science, Oxford, UK, 1992.
-
(1992)
Advances in Numerical Analysis
, vol.2
, pp. 143-167
-
-
Powell, M.J.D.1
-
29
-
-
0001070566
-
Numerical Procedures for Surface Fitting of Scattered Data by Radial Basis Functions
-
N. Dyn, D. Levin, and S. Rippa, Numerical Procedures for Surface Fitting of Scattered Data by Radial Basis Functions, SIAM J. Sci. Stat. Comput., vol. 7, pp. 639-659, 1986.
-
(1986)
SIAM J. Sci. Stat. Comput
, vol.7
, pp. 639-659
-
-
Dyn, N.1
Levin, D.2
Rippa, S.3
-
30
-
-
0003489569
-
-
Computational Mechanics and Elsevier Applied Science, Southampton, UK
-
C. A. Brebbia, P. Partridge, and L. C. Wrobel, The Dual Reciprocity Boundary Element Method, Computational Mechanics and Elsevier Applied Science, Southampton, UK, 1992.
-
(1992)
The Dual Reciprocity Boundary Element Method
-
-
Brebbia, C.A.1
Partridge, P.2
Wrobel, L.C.3
-
31
-
-
0033116371
-
Some Recent Results and Proposals for the Use of Radial Basis Functions in the BEM
-
M. Golberg, C. S. Chen, and H. Bowman, Some Recent Results and Proposals for the Use of Radial Basis Functions in the BEM, Eng. Anal. Boundary Elements, vol. 23, pp. 285-296, 1989.
-
(1989)
Eng. Anal. Boundary Elements
, vol.23
, pp. 285-296
-
-
Golberg, M.1
Chen, C.S.2
Bowman, H.3
-
32
-
-
0030361909
-
Pressure Correction DRBEM Solution for Heat Transfer and Fluid Flow in Incompressible Viscous Fluids
-
C. P. Rahaim and A. J. Kassab, Pressure Correction DRBEM Solution for Heat Transfer and Fluid Flow in Incompressible Viscous Fluids, Eng. Anal. Boundary Elements, vol. 18, pp. 265-272, 1996.
-
(1996)
Eng. Anal. Boundary Elements
, vol.18
, pp. 265-272
-
-
Rahaim, C.P.1
Kassab, A.J.2
-
33
-
-
16244376155
-
A Least-Squares Preconditioner for Radial Basis Functions Collocation Methods
-
L. Ling and E. J. Kansa, A Least-Squares Preconditioner for Radial Basis Functions Collocation Methods, Adv. Comput. Math., vol. 23, pp. 31-54, 2005.
-
(2005)
Adv. Comput. Math
, vol.23
, pp. 31-54
-
-
Ling, L.1
Kansa, E.J.2
-
34
-
-
33645661601
-
Meshfree Direct and Indirect Local Radial Basis Function Collocation Formulations for Transport Phenomena
-
A. Kassab, C. A. Brebbia, and E. Divo eds, WIT Press, Southampton, UK
-
B. Sarler, T. Tran-Cong, and C. S. Chen, Meshfree Direct and Indirect Local Radial Basis Function Collocation Formulations for Transport Phenomena, in A. Kassab, C. A. Brebbia, and E. Divo (eds.), Boundary Elements XVII, pp. 417-428, WIT Press, Southampton, UK, 2005.
-
(2005)
Boundary Elements XVII
, pp. 417-428
-
-
Sarler, B.1
Tran-Cong, T.2
Chen, C.S.3
-
35
-
-
33745930839
-
Local Explicit Radial Basis Function Collocation Method for Diffusion Problems
-
B. Sarler and R. Vertnik, Local Explicit Radial Basis Function Collocation Method for Diffusion Problems, Comput. Math. Appl., vol. 51, pp. 1269-1282, 2006.
-
(2006)
Comput. Math. Appl
, vol.51
, pp. 1269-1282
-
-
Sarler, B.1
Vertnik, R.2
-
36
-
-
33745097433
-
Meshless Local Radial Basis Function Collocation Method for Convective-Diffusive Solid-Liquid Phase Change Problems
-
R. Vertnik and B. Sarler, Meshless Local Radial Basis Function Collocation Method for Convective-Diffusive Solid-Liquid Phase Change Problems, Int. J. Numer. Meth. Heat Fluid Flow, vol. 16, pp. 617-640, 2006.
-
(2006)
Int. J. Numer. Meth. Heat Fluid Flow
, vol.16
, pp. 617-640
-
-
Vertnik, R.1
Sarler, B.2
-
37
-
-
33748462358
-
Solution of Transient Direct-Chill Aluminium Billet Casting Problem with Simultaneous Material and Interphase Moving Boundaries by a Meshless Method
-
R. Vertnik, M. Zaloznik, and B. Sarler, Solution of Transient Direct-Chill Aluminium Billet Casting Problem with Simultaneous Material and Interphase Moving Boundaries by a Meshless Method, Eng. Anal. Boundary Elements, vol. 30, pp. 847-855, 2006.
-
(2006)
Eng. Anal. Boundary Elements
, vol.30
, pp. 847-855
-
-
Vertnik, R.1
Zaloznik, M.2
Sarler, B.3
-
38
-
-
0001018295
-
Multiquadric Equations of Topography and Other Irregular Surfaces
-
R. L. Hardy, Multiquadric Equations of Topography and Other Irregular Surfaces, J. Geophys. Res., vol. 176, pp. 1905-1915.
-
J. Geophys. Res
, vol.176
, pp. 1905-1915
-
-
Hardy, R.L.1
-
39
-
-
0242721354
-
Parallel Domain Decomposition Approach for large - scale 3-D Boundary Element Models in Linear and Non-linear Heat Conduction
-
E. A. Divo, A. J. Kassab, and F. Rodriguez, Parallel Domain Decomposition Approach for large - scale 3-D Boundary Element Models in Linear and Non-linear Heat Conduction, Numer. Heat Transfer B, vol. 44, pp. 417- 437, 2003.
-
(2003)
Numer. Heat Transfer B
, vol.44
, pp. 417-437
-
-
Divo, E.A.1
Kassab, A.J.2
Rodriguez, F.3
-
40
-
-
34248394757
-
-
ASME Paper: HT-FED2004-56004
-
E. Divo, A. J. Kassab, E. Mitteff, and L. Quintana, A Parallel Domain Decomposition Technique for Meshless Methods Applications to Large - Scale Heat Transfer Problems, ASME Paper: HT-FED2004-56004, 2004.
-
(2004)
A Parallel Domain Decomposition Technique for Meshless Methods Applications to Large - Scale Heat Transfer Problems
-
-
Divo, E.1
Kassab, A.J.2
Mitteff, E.3
Quintana, L.4
-
41
-
-
33645689510
-
Effective Domain Decomposition Meshless Formulation of Fully-Viscous Incompressible Fluid Flows
-
A. Kassab, C. A. Brebbia, and E. Divo eds, WIT Press, Southampton, UK
-
E. Divo and A. J. Kassab, Effective Domain Decomposition Meshless Formulation of Fully-Viscous Incompressible Fluid Flows, in A. Kassab, C. A. Brebbia, and E. Divo (eds.), Boundary Elements XVII, pp. 67-77, WIT Press, Southampton, UK, 2005.
-
(2005)
Boundary Elements XVII
, pp. 67-77
-
-
Divo, E.1
Kassab, A.J.2
-
42
-
-
33645674777
-
A Meshless Method for Conjugate Heat Transfer
-
M. Papadrakis, E. Oñate, and B. Schrefler eds, Santorini, Greece
-
E. Divo and A. J. Kassab, A Meshless Method for Conjugate Heat Transfer, in M. Papadrakis, E. Oñate, and B. Schrefler (eds.), Proc. ECCOMAS Coupled Problems 2005, Santorini, Greece, 2005.
-
(2005)
Proc. ECCOMAS Coupled Problems 2005
-
-
Divo, E.1
Kassab, A.J.2
-
43
-
-
13844271374
-
A Meshless Method for Conjugate Heat Transfer Problems
-
E. Divo and A. J. Kassab, A Meshless Method for Conjugate Heat Transfer Problems, Eng. Anal., vol. 29, pp. 136-149, 2005.
-
(2005)
Eng. Anal
, vol.29
, pp. 136-149
-
-
Divo, E.1
Kassab, A.J.2
-
44
-
-
34248398491
-
-
E. A. Divo and A. J. Kassab, An Efficient Localized RBF Meshless Method for Fluid Flow and Conjugate Heat Transfer, ASME J. Heat Transfer, 129, pp. 124-136, 2007.
-
E. A. Divo and A. J. Kassab, An Efficient Localized RBF Meshless Method for Fluid Flow and Conjugate Heat Transfer, ASME J. Heat Transfer, vol. 129, pp. 124-136, 2007.
-
-
-
-
45
-
-
33749190078
-
Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluids with a Free Surface
-
F. H. Harlow and J. E. Welch, 1965, Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluids with a Free Surface, Phys. Fluids, vol. 8, pp. 2182-2189, 1965.
-
(1965)
Phys. Fluids
, vol.8
, pp. 2182-2189
-
-
Harlow, F.H.1
Welch, J.E.2
-
47
-
-
0016870918
-
Boundary Condition for Unbounded Hyperbolic Flows
-
I. Orlanski, A Simple Boundary Condition for Unbounded Hyperbolic Flows, J. Comput. Phys., vol. 21, pp, 251-269, 1976.
-
(1976)
J. Comput. Phys
, vol.21
, pp. 251-269
-
-
Orlanski, I.1
Simple, A.2
-
48
-
-
49049143188
-
High-Re Solutions for Incompressible-Flow Using the Navier Stokes Equations and a Multigrid Method
-
U. Ghia, K. N. Ghia, and C. T. Shin, High-Re Solutions for Incompressible-Flow Using the Navier Stokes Equations and a Multigrid Method, J. Comput. Phys., vol. 48, pp. 387-411, 1982.
-
(1982)
J. Comput. Phys
, vol.48
, pp. 387-411
-
-
Ghia, U.1
Ghia, K.N.2
Shin, C.T.3
-
49
-
-
33845192134
-
Verification of a Numerical Model of Macrosegregation in Direct Chill Casting
-
A. Nowak, R. Bialecki, and G. Wecel eds, SUT Press, Gliwice, Poland
-
M. Zaloznik, S. Xin, and B. Sarler, Verification of a Numerical Model of Macrosegregation in Direct Chill Casting, in A. Nowak, R. Bialecki, and G. Wecel (eds.), Proc. Eurotherm82, Numerical Heat Transfer, pp. 345-355, SUT Press, Gliwice, Poland, 2005.
-
(2005)
Proc. Eurotherm82, Numerical Heat Transfer
, pp. 345-355
-
-
Zaloznik, M.1
Xin, S.2
Sarler, B.3
|