메뉴 건너뛰기




Volumn 43, Issue 1, 2009, Pages 1-25

Adaptive support domain implementation on the moving least squares approximation for mfree methods applied on elliptic and parabolic pde problems using strong-form description

Author keywords

Adaptive support domain; Meshless methods; MLS; Point collocation methods; Strong form description

Indexed keywords

ADAPTIVE REFINEMENT; ADAPTIVE SUPPORT; BASIS FUNCTIONS; EXACT SOLUTION; INTERPOLATION METHOD; MATRIX INVERSIONS; MESH-FREE METHOD; MESH-LESS METHODS; MESHLESS; MLS APPROXIMATION; MOVING LEAST SQUARE APPROXIMATION; MOVING LEAST SQUARES APPROXIMATION; NEIGHBORING NODES; P-C METHODS; PARABOLIC PDES; POINT COLLOCATION; POINT COLLOCATION METHOD; RADIAL BASIS FUNCTIONS; STEEP GRADIENTS; STRONG FORM;

EID: 69949108106     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (22)

References (31)
  • 1
    • 0037141173 scopus 로고    scopus 로고
    • A combined continuum/ DSMC technique for multiscale analysis of microfluidic filters
    • Aktas, O.; Aluru, N. R. (2002): A combined continuum/ DSMC technique for multiscale analysis of microfluidic filters. J Comp Phys, vol.178, pp. 342-372.
    • (2002) J Comp Phys , vol.178 , pp. 342-372
    • Aktas, O.1    Aluru, N.R.2
  • 2
    • 0035341648 scopus 로고    scopus 로고
    • Error estimates for moving least square approximations
    • Armentano, M. G.; Durán R. G. (2001): Error estimates for moving least square approximations. Appl Numer Math, vol 37, pp. 397-416.
    • (2001) Appl Numer Math , vol.37 , pp. 397-416
    • Armentano, M.G.1    Durán, R.G.2
  • 5
    • 0033885238 scopus 로고    scopus 로고
    • Local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity
    • Atluri, S. N.; Sladek, J.; Sladek V.; Zhu, T. (2000): The Local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity. Comput Mech, vol.25, pp. 180-198. (Pubitemid 30593734)
    • (2000) Computational Mechanics , vol.25 , Issue.2 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 6
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri, S. N.; Zhu, T. (1998): A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput Mech, vol.22, pp. 117-127.
    • (1998) Comput Mech , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 7
    • 33749874042 scopus 로고    scopus 로고
    • Meshless local petrov-galerkin (MLPG) mixed finite difference method for solid mechanics
    • Atluri, S. N., Liu, H. T., Han, Z. D. (2006): Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics, CMES: Computer Modeling in Engineering & Sciences, vol.15 (1), pp. 1-16
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , Issue.1 , pp. 1-16
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 9
    • 0037489723 scopus 로고    scopus 로고
    • Simulation of the dynamics of depth filtration of non-Brownian particles
    • Burganos, V. N.; Skouras, E. D.; Paraskeva, C. A.; Payatakes, A. C. (2001): Simulation of the dynamics of depth filtration of non-Brownian particles, AIChE J, vol 47 (4), pp. 880-894.
    • (2001) AIChE J , vol.47 , Issue.4 , pp. 880-894
    • Burganos, V.N.1    Skouras, E.D.2    Paraskeva, C.A.3    Payatakes, A.C.4
  • 10
    • 0002214041 scopus 로고
    • Maximum principle and convergence for the finite element method
    • Ciarlet P.G.; Raviart, P. A. (1973): Maximum Principle and Convergence for the Finite Element Method, Comput Meth Appl Mech Engng, vol 2, pp.17-31.
    • (1973) Comput Meth Appl Mech Engng , vol.2 , pp. 17-31
    • Ciarlet, P.G.1    Raviart, P.A.2
  • 11
    • 0000383154 scopus 로고    scopus 로고
    • Adaptive mesh and algorithm refinement using direct simulation monte carlo
    • Garcia, A. L.; Bell, J. B.; Crutchfield, W. Y.; Alder, B.J. (1999): Adaptive Mesh and Algorithm Refinement Using Direct Simulation Monte Carlo. J. Chem. Phys., vol.154, pp. 134-155.
    • (1999) J. Chem. Phys. , vol.154 , pp. 134-155
    • Garcia, A.L.1    Bell, J.B.2    Crutchfield, W.Y.3    Alder, B.J.4
  • 13
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and applications to non-spherical stars
    • Gingold, R. A.; Monaghan, J. J. (1977): Smoothed particle hydrodynamics: theory and applications to non-spherical stars. Mon Not R Astron Soc, vol.181, pp. 375-389.
    • (1977) Mon Not R Astron Soc , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 14
    • 33646422497 scopus 로고    scopus 로고
    • Meshless techniques for convection dominated problems
    • Gu, Y. T.; Liu, G. R. (2006): Meshless techniques for convection dominated problems. Comp Mech, vol.38, pp. 171-182.
    • (2006) Comp Mech , vol.38 , pp. 171-182
    • Gu, Y.T.1    Liu, G.R.2
  • 15
    • 33749866016 scopus 로고    scopus 로고
    • The applications of meshless local petrov-galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems
    • Han, Z. D.; Liu, H. T.; Rajendran, A. M.; Atluri, S. N. (2006): The Applications of Meshless Local Petrov-Galerkin (MLPG) Approaches in High-Speed Impact, Penetration and Perforation Problems, CMES: Computer Modeling in Engineering & Sciences, vol.14(2), pp. 119-128
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , Issue.2 , pp. 119-128
    • Han, Z.D.1    Liu, H.T.2    Rajendran, A.M.3    Atluri, S.N.4
  • 17
    • 33846140065 scopus 로고    scopus 로고
    • Maximum principle and convergence analysis for the meshfree point collocation method
    • Kim D.W.; Liu W.K. (2006): Maximum principle and convergence analysis for the meshfree point collocation method. Siam J Numer Anal, vol.44 (2), pp. 515-539.
    • (2006) Siam J Numer Anal , vol.44 , Issue.2 , pp. 515-539
    • Kim, D.W.1    Liu, W.K.2
  • 18
    • 0005843312 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method for convection-diffusion problems
    • Lin, H.; Atluri, S. N. (2000): Meshless local Petrov-Galerkin (MLPG) method for convection-diffusion problems. CMES: Computer Modeling in Engineering & Sciences, vol.1 (2), pp. 45-60.
    • (2000) CMES: Computer Modeling in Engineering & Sciences , vol.1 , Issue.2 , pp. 45-60
    • Lin, H.1    Atluri, S.N.2
  • 20
    • 0000902539 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle method for computational fluid mechanics
    • Liu, W.K.; Jun, S.; Sihling, D.T.; Chen, Y.; Hao, W. (1997): Multiresolution reproducing kernel particle method for computational fluid mechanics., Int J Numer Meth Fl, vol.20, pp. 1081-1106.
    • (1997) Int J Numer Meth Fl , vol.20 , pp. 1081-1106
    • Liu, W.K.1    Jun, S.2    Sihling, D.T.3    Chen, Y.4    Hao, W.5
  • 24
    • 4344636964 scopus 로고    scopus 로고
    • Indirect RBFN method with scattered points for numerical solution of PDEs
    • Mai-Duy, N. (2004): Indirect RBFN Method with Scattered Points for Numerical Solution of PDEs, CMES: Computer Modeling in Engineering & Sciences, vol.6 (2), pp. 209-226.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , Issue.2 , pp. 209-226
    • Mai-Duy, N.1
  • 25
    • 39449133947 scopus 로고    scopus 로고
    • Mesoscopic modeling of flow and dispersion phenomena in fractured solids
    • Michalis, V. K.; Kalarakis, A. N.; Skouras, E. D.; Burganos, V. N. (2008): Mesoscopic Modeling of Flow and Dispersion Phenomena in Fractured Solids. Comput Math Appl, vol.55 (7), pp. 1525-1540.
    • (2008) Comput Math Appl , vol.55 , Issue.7 , pp. 1525-1540
    • Michalis, V.K.1    Kalarakis, A.N.2    Skouras, E.D.3    Burganos, V.N.4
  • 26
    • 43549108763 scopus 로고    scopus 로고
    • Re-construction of umbite framework variants by atomistic simulations using XRD and sorption data
    • Navascués, N.; Skouras, E. D.; Nikolakis, V.; Burganos, V. N.; Tellez, C.; Coronas, J. (2008): Re-construction of umbite framework variants by atomistic simulations using XRD and sorption data. Chem Eng Proc.,vol. 47 (7), pp. 1139-1149.
    • (2008) Chem Eng Proc. , vol.47 , Issue.7 , pp. 1139-1149
    • Navascués, N.1    Skouras, E.D.2    Nikolakis, V.3    Burganos, V.N.4    Tellez, C.5    Coronas, J.6
  • 27
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles, B.; Touzot, G.; Villon, P. (1992): Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech, vol.10, pp. 307-318.
    • (1992) Comput Mech , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 28
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Application to convective transport and fluid flow
    • Onate, E.; Idelsohn, S.; Zienkiewicz, O. C.; Taylor, R. L. (1996): A finite point method in computational mechanics. Application to convective transport and fluid flow. Int J Num Meth Eng, vol.39, pp. 3839-3866.
    • (1996) Int J Num Meth Eng , vol.39 , pp. 3839-3866
    • Onate, E.1    Idelsohn, S.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 29
    • 15544366284 scopus 로고    scopus 로고
    • A radial basis function collocation approach in computational fluid dynamics
    • Sarler, B. (2005): A Radial Basis Function Collocation Approach in Computational Fluid Dynamics, CMES: Computer Modeling in Engineering & Sciences, vol.7 (2), pp. 185-194.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.7 , Issue.2 , pp. 185-194
    • Sarler, B.1
  • 30
    • 40049104874 scopus 로고    scopus 로고
    • Convergence of unsymmetric kernel-based meshless collocation methods
    • Schaback, R. (2007): Convergence of unsymmetric kernel-based meshless collocation methods, Siam J Numer Anal, vol.45 (1), pp. 333-351.
    • (2007) Siam J Numer Anal , vol.45 , Issue.1 , pp. 333-351
    • Schaback, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.