ISCES International Society for Computational Engineering & Sciences

Publications on meshless methods

    Aluru N. R., A reproducing kernel particle method for meshless analysis of microelectromechanical systems, Computational Mechanics 23 (1999) 4, 324-338.
    Atluri S. N., Cho J. Y., Kim H.-G., Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations, Computational Mechanics 24 (1999) 5, 334-347.
    Atluri S. N., Kim H.-G., Cho J. Y., A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods, Computational Mechanics 24 (1999) 5, 348-372.
    Atluri S. N., Sladek J., Sladek V., Zhu T., The local boundary integral equation (LBIE) and it's meshless implementation for linear elasticity, Computational Mechanics 25 (2000) 2/3, 180-198.
    Atluri S.N., Zhu T., A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics, 22, 1998, 117-127.
    Atluri S.N., Zhu T.-L., A New Meshless Local Petrov-Galerkin (MLPG) Approach to Nonlinear Problems in Computer Modeling and Simulation, Computational Modeling and Simulation in Engineering, 3, 3, 1998, 187-196.
    AtluriS. N., Zhu T. -L., The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics, Computational Mechanics 25 (2000) 2/3, 169-179.
    Attaway S.W., Heinstein M.W., Swegle J.W., Coupling of Smoothed Particle Hydrodynamics with the Finite Element Method, Nuclear Engng Design, 150, 1994, 199-205.
    Babuska I., Melenk J.M., The Partition of Unity Finite Element Method, Technical Report BN-11S5, Inst.for Phys.Sc.and Tech., Univ. of Maryland, June 21, 1995.
    Babuska I., Partition of Unity Method for Solving Problems with Microstructure, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Babuska I.,Strouboulis T.,Upadhyay C.S., Gangaraj S.K., Superconvergence in the Finite Element Method by Computer-Based Proof, Bulletin of the Int. Association for Computational Mechanics, 3, 10 (1995), 27-41.
    Batina J.T., A Gridless Eulere/Navier - Stokes Solution Algorithm for Complex Aircraft Applications, AIAA 93-0333, 31" Aerospace Sciences Meeting and Exhibit, Reno, NV, 1993.
    Beissel S., Belytschko T., Nodal Integration of the Element-Free Galerkin Method, Computer Methods Appl. Mech. Engng, 139, 1996, 49-74.
    Belichko T., Tabbara M., Dynamic Fracture Using Element-Free Galerkin Methods, IJNME, 39, 1996.
    Belytschko T., Gerlach C., Krongauz Y., Krysl P., Dolbow J., Why Meshfree Methods?, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Belytschko T., Gu L., Lu Y.Y.. Fracture and Crack Growth by Element Free Ga1erkin Method, Moodeling Simul. Mater. Sci. Engng, 115, 1994, 277-286.
    Belytschko T., Krongauz Y., Fleming M., Organ D., Liu W.K., Smoothing and Accelerated Computations in the Element Free Galerkin Method, J. of Computational and Applied Mathematics, 74, 1996, 111-126.
    Belytschko T., Lu Y.Y., Gu L., Element-free Galerkin Methods, IJNME, 37, 1994, 229- 256.
    Belytschko T., On Recent Advances in the Element-Free Galerkin Method, IUTAM/IACM Symp. Discretization Methods in Structural Mechanics II, Vienna, June 2-6, 1997.
    Belytschko T., Organ D., Krongauz Y., A Coupled Finite Element-Element- Free Galerkin Method, Computational Mech., 17, 1995, 186-195.
    Benito J., Gavete L., Buceta A., Falcon S., A Study of Approximation Methods and its Use in a Finite Point Method, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Benson D., Time Step Estimation for Explicit RKPM, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Bonet J., Kulasegaram S., Lok T.-L., Advances in Particle Based Meshless Methods for High Strain Lagrangian Problems, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Bouillard Ph., Suleau S., A Meshless Method for 2D Interior Problems in Acoustics, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Brackbill J.U., Kothe D.B., Ruppel H.M., FLIP: A Low-dissipation, Particle-in-Cell Method for Fluid Flow, J.Comp.Physics, 48, 1988, 25-38.
    Brackbill J.U., Ruppel H.M., FLIP: A Method for Adaptively Zoned, Particle-in-Cell Calculations of Fluid Flows in two Dimensions, J.Comp.Physics, 65, 1986, 314-343.
    BreitkopfP., Touzot G., Villon P., Double grid diffuse collocation method, Computational Mechanics 25 (2000) 2/3, 199-206.
    Brigham E.O., The Fast Fourier Transform, Prentice-Hall, Englewood Cliffs, NJ, 1974.
    Brooks A.N., Hughes T.J.R., Streamline upwind /Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier- Stokes Equations, Computer Methods Appl.Mech.Engng., 32, 1982, 199-259.
    Bueche D., Sukumar N., Moran B., Dispersive properties of the natural element method, Computational Mechanics 25 (2000) 2/3, 207-219.
    Burgess D., Sulsky D., Bracbill J.U., Mass Matrix Formulation of the FLIP Particle-in- Cell Method, J.Comput.Phys., 103,1992, 1-15.
    Chen J. -S., Wang H. -P., Yoon S., You Y., Some recent improvements in meshfree methods for incompressible finite elasticity boundary value problems with contact, Computational Mechanics 25 (2000) 2/3, 137-156.
    Chen J.-S., Pan C., Wu C.-T., Liu W.K., Reproducing Kernel Particle Methods for Large Deformation Analysis of Non-linear Structures, Computer Methods Appl.Mech.Engng, 139, 1996, 195-227.
    Chow P., Cross M., An Enthalpy Control-Volume-Unstructured-Mesh (CV-UM) Algorithm for Solidification by Conduction Only, IJNME, 35, 1992, 1849-1870.
    Christon M. A., Roach D. W., The numerical performance of wavelets for PDEs, the multi-scale finite element, Computational Mechanics 25 (2000) 2/3, 230-244.
    Chui C.K., An Introduction to Wavelets, Academic, New York, 1992.
    Chui C.K., Montefusco L., Puccio L., Wavelets; Theory, Algorithms and Applications, Academic, New York, 1994.
    Colominas I., Chao M., Navarrina F., Casteleiro M., Application of Meshless Methods to the Analysis and Design of Grounding Systems, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Cordes L.W., Moran B., Treatment of Material Discontinuity in the Element- Free Galerkin Method, Computer Methods Appl. Mech. Engng, in press.
    Danielson K. T., Adley M. D., A meshless treatment of three-dimensional penetrator targets for parallel computation, Computational Mechanics 25 (2000) 2/3, 267-273.
    Daubechies I., CBMS/NSF Series in Applied Mathematics, No. 61, Ten Lectures on Wavelets, SIAM, Philadelphia, PA, 1992.
    De, S. and Bathe K. J., The Method of Finite Spheres, Computational Mechanics, 25, 2000, 329-345.
    DeRose G. C. A. Jr., Dİaz A. R., Solving three-dimensional layout optimization problems using fixed scale wavelets, Computational Mechanics 25 (2000) 2/3, 274-285.
    Dits G., Conservative Moving-least-squares Methods for Lagrangian Hydrodynamics, Proc. of the Fourth World Congress on Comoutational Mechanic; Buenos Aires, Argentina, 1998.
    Dolbow J.,Belytschko T., Numerical integration of the Galerkin weak form in meshfree methods, Computational Mechanics 23 (1999) 3, 219-230.
    Duarte C.A., A Review of Some Meshless Methods to Solve Partial Differential Equations, Technical Report 95-06, TICAM, The Univ. of Texas at Austin, May 1995.
    Duarte C.A., Oden J.T., A New Meshless Method to Solve Boundary-Value Problems. TICAM Report.
    Duarte C.A., Oden J.T., H-p Couds - an h-p Meshless Method, Numerical Methods for Partial Differential Equations, 1996, 1-34.
    Duarte C.A., Oden J.T., Hp Clouds - a Meshless Method to Solve Boundary-Value Problems, TICAM Report 95-05.
    Dyachenko S.F., Methods Svobodnych Tochek, Method Krupnych Chastic v Gazovoj Dynamike, Nauka, Moskva, 1982, 35-51.
    Dyduch M., Cescotto S., Habraken A.M., Study of Some Error Estimates for Adaptive Analysis of Forming Processes, Proc.of the COMPLAS IV Conf., Barcelona 1995.
    Fleming M., Chu Y.A., Moran B., Belytschko T., Enriched Element-Free Galerkin Methods for Singular Fields,
    Fourment L., Chenot J.L., Study of Some Error Estimates for Adaptive Meshing in Metal Forming", Proc.of the COMPLAS II Conf., 1992.
    Furukawa T., Yagawa G., Wu C.C., Improvement of Accuracy for Free Mesh Method, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Garcia O., Fancello E., de Barcellos C., Duarte C., Hp-clouds in Mindlin Reissner Thick Plate Model, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Gingold R.A., Monaghan J.J., Kernel Estimates as a Basis for General Particle Methods in Hydronomics, J. Comp. Phys., 46, 1982, 429-453.
    Gingold R.A., Monaghan J.J., Smoothed Particle Hydrodynamics: Theory and Application to Non-spherical Stars, Mon. Not. Roy. Astron. Soc., 181, 1977, 375-389.
    Harlow F.H., The Particle-in-Cell Computing Method for Fluid Dynamics, in: Adler B., Fernbach S., Rotenberg M., eds., Methods for Computational Physics., 3, 1964, 319-343.
    Hein P., Diffuse Element Method Applied to Kirchhoff Plates, Technical report, Dept. Civil Engng, Northwestern Univ., Evanston, Il., 1993.
    Horie T., Nishikawa T., Kuramae H., Meshless Virtual Nodes for Nonconforming Domain Decomposition Method, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Hughes T.J.R., Tezduyar T.E., Finite Element Methods for First-order Hyperbolic Systems with Particular Emphasis on the Compressible Euler Equations, Comp. Methods Appl.Mech.Engng., 45, 1994, 217-284.
    Hughes T.J.R., The Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ, 1987.
    Idelson S.R., Onate E., The Finite Point Method in Computational Mechanics: Discussion and Comparison of Different Approximations, IUTAM/IACM Symp. Discretization Methods in Structural Mechanics II, Vienna, June 2-6, 1997.
    Jach K., Leliwa-Kopystynski J., Mroczkowski M., Swierczynski R., Wolanski P., Free Particle Modeling of Hypervelocity Asteroid Collisions with the Earth, Planet. Space Sci., 12, 42 (1994), 1123-1137.
    Johnson G. R., Beissel S. R., Stryk R. A., A generalized particle algorithm for high velocity impact computations, Computational Mechanics 25 (2000) 2/3, 245-256.
    Johnson G.R., Linking Lagrangian Particle Methods to Standard Finite Element Methods for High Velocity Impact Computations, Nucl. Engng Des. 150, 1994, 265-274.
    Johnson G.R., Peterson E.H., Stryrk R.A., Incorporation of an SPH Option Into the EPIC Code for a Wide Range of High Velocity Impact Computations, Preprint 1993.
    Jun S., Im S., Multiple-scale meshfree adaptivity for the simulation of adiabatic shear band formation, Computational Mechanics 25 (2000) 2/3, 257-266.
    Kim H.-G., Atluri S.N., Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MPLG) method, Computer Modeling in Engineering & Sciences, 1 (2000), 3, 11-32.
    Kim N. H., Choi K. K., Chen J. S., Park Y. H., Meshless shape design sensitivity analysis and optimization for contact problem with friction, Computational Mechanics 25 (2000) 2/3, 157-168.
    Klaas O., Shephard M. S., Automatic generation of octree-based three-dimensional discretizations for Partition of Unity methods, Computational Mechanics 25 (2000) 2/3, 296-304.
    Krok J., Orkisz J., A Unified Approach to the FE and Generalized Variational FD in Nonlinear Mechanics, Concepts and Numerical Approach, Int. Symp. on Discretization Methods in Structural Mechanics IUTAM/IACM, Vienna, Austria, 1989, Springer-Verlag, Berlin-Heidelberg, 1990, 353-362.
    Krok J., Orkisz J., Application of the Generalized FD Approach to Stress Evaluation in the FE Solution, Proc. Int. Conf. on Comp. Mech., Tokyo, 1986, 31- 36.
    Krongauz Y., Belytschko T., Enforcement of Essential Boundary Conditions in Meshless Approximations Using Finite Elements, Computer Methods in Applied Mechanics and Engng, 131, 1996, 133-145.
    Krongauz Y., Belytschko T., Fast Consistent Derivatives in Meshless Methods, in preparation.
    Krongauz Y., Belytschko T., Meshless Approxim@tioos for Discontinuous Derivatives, submitted.
    Krysl P., Belytschko T., Analysis of Thin Plates by the Element-Free Galerkin Method, Computational Mechanics, 17, 1995, 26-35.
    Krysl P., Belytschko T., Analysis of Thin Shells by the Element-Free Galerkin Method, Int.J.Solids Structure, 33, 20-22, 1996, 3057-3080.
    Krysl P., Belytschko T., Element-Free Galerkin Method: Convergence of the Continuous and Discontinuous Shape Functions, Jan.4, 1996.
    Krysl P., Belytschko T., Nonconforming Element-Free Galerkin Method, Computer Methods Appl. Mech. Engng, submitted.
    Krysl P., Belytschko T., On Convergence of Discontinuous EFG, submitted.
    Lancaster P., Salkauskas K., Curve and Surface Fitting: an Introduction, Academic Press, London, Orlando, 1986.
    Lancaster P., Salkauskas K., Surfaces Oenerated by Moving Least Squares Methods, Mathematics of Computation, 155, 37,1981, 141-158.
    Le Bean O.J., Ray S.E., Aliabadi S.K., Tezduyar T.E., SUPG Finite Element Computation of Compressible Flows with the Entropy and Conservation Variables Formulations, Computer Methods Appl.Mech.Engng., 104, 1993, 397-422.
    Li S., Hao W., Liu W. K., Numerical simulations of large deformation of thin shell structures using meshfree methods, Computational Mechanics 25 (2000) 2/3, 102-116.
    Li S., Liu W.K., Moving Least-Square Reproducing Kernel Method, (III): Wavelet Packet k its Applications, submittal to Computer Methods in Appl.Mech.Engng, 1997.
    Li S., Liu W.K., Moving Least-Square Reproducing Kernel Method, Part Il: Fourier Analysis, Computer Methods Appl.Mech.Engng., 139,1996, 159-193.
    Li S., Liu W.K., Synchronized Reproducing Kernel Interpolant Via Multiple Wavelet Expansion, accepted for publication in Computational Mechanics, 1997.
    Libersky L., Petschek A.G., Smooth Particle Hydrodynamics with Strength of Materials, Proc. Free-Lagrange Conf., Moran, WY, June 1990.
    Libersky L.D., Petschek A.G., Carney T.C., Hipp J.R., Allahdadi F.A., High Strain Lagrangian Hydrodynamics: A Tree-Dimensional SPH Code for Dynamic Material Response, J.Comput.Phys. 109, 1993, 67-75.
    Lin H., Atluri S.N., Meshless local Petrov-Galerkin (MPLG) method for convection-diffusion problems, Computer Modeling in Engineering & Sciences, 1 (2000), 2, 45-60.
    Liszka T., An Interpolation Method for Irregular Net of Nodes, IJNME, 20, 1984, 1599-1612.
    Liszka T., Orkisz J., The Finite Difference Method at Arbitrary Irregular Grids and its Applied Mechanics, Comp.and Struct., 11, 19SO, 83-95.
    Liszka T., Orkisz J., The Finite Difference Method for Arbitrary Irregular Meshes - a Variational Approach to Applied Mechanics Problems, GAMNI 2, Paris, 1980, 227-235.
    Liszka T.. Tworzvdkn W. An h-n Adaptive Cloud Method for a Class of Second Order PDE's., Fifth Pan American Congress of Applied Mechanics - CAM, San Juan, Puerto Rico, 5 Jan. 1997.
    Liu W.K., Adee J., Jun S., Reproducing Kernel and Wavelet Particle for Elastic and Plastic Problems, in Benson D.J., Asaro R.A.(eds), Advanced Computational Methods for Material Modeling, AMD, 180/PVP Vo., 268, ASME, New York, 1993, 175-190.
    Liu W.K., Chang C.T., Chen Y., Uras R.A., Multiresolution Reproducing Kernel Particle Methods in Acoustic Problems, in Acoustic, Vibrations, and Rotating Machines, DE, 84-2, Part B, 881-900.
    Liu W.K., Chen Y., Chang C.T., Belytschko T., Advances in Multiple Scale Kernel Particle Methods, Computational Mechanics,18, 1996, 73-111.
    Liu W.K., Chen Y., Jun S., Chen J.S., Belytschko T., Pan C., Uras R.A., Chang C.T., Overview and Applications of the Reproducing Kernel Particle Methods, Archves of Computational Methods in Engng: State of the Art. Reviews, 3, 1996, 3-80.
    Liu W.K., Chen Y., Uras R.A., Chang C.T., Generalized Multiple Scale Reproducing Kernel Particle Methods, ComputerMethods Appl.Mech.Engng, 139, 1996, 91-157.
    Liu W.K., Chen Y., Uras R.A., Enrichment of the Finite Element Method with the Reproducing Kernel Particle Method, in:Cory J.J.E., Gordon J.L., eds., Current Topics in Computational Mechanics, 305 (ASME-PVP, 1995), 253-258.
    Liu W.K., Chen Y., Wavelet and Multiple-Scale Reproducing Kernel Methods, Int. J. Numer. Methods Fluids, 21, 1995, 901-931.
    Liu W.K., Jun S., Li S., Adee J., Belytschko T., Reproducing Kernel Particle Methods for Structural Dynamics, IJNME, 38, 1995, 1655-1679.
    Liu W.K., Jun S., Sihling D.T., Chen Y., Hao W., Multiresolution Reproducing Kernel Particle Method for Computational Fluid Dynamics, Int.J. Numer. Methods Fluids, 24, 1997, 1391-1415.
    Liu W.K., Jun S., Zhang Y.F., Reproducing Kernel Particle Methods, Int. J. Numer. Methods Fluids, 20, 1995, 1081-1106.
    Liu W.K., Li S., Belytschko T., Moving Least -Square Reproducing Kernel Method, (i) Methodology and Convergence, Computer Methods Appl. Mech. Engng, 143, 1997, 113-154.
    Liu W.K., Oberste-Brandenburg C., Reproducing Kernel and Wavelet Particle Methods, in Casumano J.P., Pierre C., Wu J.T.(eds), Aerospace Structures: Nonlinear Dynamics and System Response, AD, 33, ASME, New York, 1993, 39-56.
    Liu W.K., Zhang Y., Ramirez M.R., Multiple Scale Finite Element Methods, IJNME., 32, 1991, 969-990.
    Liu X., Zhu D., Hp-clouds Meshless Method for Elastic Problems Analysis, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Liu X., Zhu D., The Adaptive Meshless Method for High Gradient and Oscillatory rrooiems wnaiysis, rroc. oI the t ourth World Uongress on Uomputational Mechanics, Buenos Aires, Argentina, 199S.
    Liu w., Guntner F., Hao S., Multiple Scale Meshfree Methods by Wavelet Packages, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Lu Y.Y., Belytschko T., Gu L., A New Implementation of the Element Free Galerkin Method, Computer Methods in Applied Mechanics and Engng, 113, 1994, 397-414.
    Lu Y.Y., Gu L., Belytschko T., Internal report, 1996.
    Lucy L., A Numerical Approach to Testing the Fission Hypothesis, J.Fluids, 82,1977, 1013-1024.
    Mandell D.A., Wingate C.A., Schwalbe L.A., Computational Brittle Fracture Using Smooth Particle Hydrodynamics, 14 US Army Symp. On Solid Mechanics, Myrtle Beach, South Carolina, Oct. 16-18, 1996.
    Mandell D.A., Wingate C.A., Schwalbe L.A., Simulation of a Ceramic Impact Experiment Using the SPHINX Smooth Particle Hydrodynamics Code, 16'" Int.Symp. on Ballistics, San Francisco, Sept. 23-28, 1996.
    Masson C., Baliga B.R., A Control Volume Finite Element Method for Two- Dimensional Dilute Fluid-Solid Particle Flows, Numerical Methods in Engng'92, Ch.Hirsch et al. (eds), Elsevier Science Publishers B.V., 1992, 1, 541-548.
    Mendonca P., de Barcellos C., Duarte C., Investigations on Timoshenko Beam Problems Using the Hp-clouds Meshless FEM, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Mendon×a P. de T. R., de Barcellos C. S., Duarte A., Investigations on the hp-Cloud Method by solving Timoshenko beam problems, Computational Mechanics 25 (2000) 2/3, 286-295.
    Monaghan J.J. Why Particle Methods Work, SIAM J.Sci.Stat.Comput., 3, 1982, 422-433.
    Monaghan J.J., An Introduction to SPH, Computer Physics Communications, 48, 1988, 89-96.
    Monaghan J.J., Gingold R.A., Shock Simulation by the Particle Method SPH, J.Comput.Phys., 52, 1983, 374-389.
    Monaghan J.J., Smooth Particle Hydrodynamics, Annu. Rev. Astron. Astrophys., 30, 1992, 543-574.
    Mukherjee S., Chati M., Linear Elasticity by the Boundary Node Method, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Nagashima, Large scale Node by-node Meshless Computation on MPP, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Nashi Y., Ben G., FEM Preprocessor by Using Multiple Agents, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 199S.
    Nayroles B., Touzot G., Villon P., Generalizing the Finite Element Method: Diffuse Approximation and Diffuse Elements, Computational Mechanics, 10, 1992, 307-318.
    Nicolazzi L., de Barcellos C., Fancello E., Duarte C., Hp-clouds - a Meshless Method in Boundary Elenments, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Noguchi H., Miyamura T., Element Free Analyses of Shell and Spatial Structures, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Oden J.T., Duarte C.A., Solution of Singular Probloms Vsing h-p Clouds, TICAM Report.
    Okuda H., Hazama O., Development of Paintbrush Tool for Element-free Analysis System, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Onate E., Idelsohn S., Zienkiewicz O.C., Taylor R.L., A Finite Point Method in Computational Mechanics. Applications to Convective Transport and Fluid Flow, IJNME, 39, 22, 1996, 3839-3886.
    Onate E., Idelsohn S., Zienkiewicz O.C., Taylor R.L., Sacco C., A Stabilized Finite Point Method for Analysis of Fluid Mechanics Problems, to appear in Computer Methods in Applied Mech. and Engng, 1996.
    Onate E., Idelsohn S.R., A Comparison Between Finite Element and Finite Volume Methods in CFD, Computational Fluid Dynamics'92, Ch.Hirsch et al. (eds), Elsevier Science Publishers B.V., 1992, 1, 93-100.
    Organ D., Fleming M., Terry T., Belytschko T., Continuous Meshless Approximations for Nonconvex Bodies by Diffraction and Transparency, Comput. Mech., to appear.
    Organ D., Numerical Solution to Dynamic Fracture Problems Using the Element-Free Galerkin Method, Ph.D. Thesis, Northwestern Univ., 1996.
    Orkisz J, Meshless Finite Difference Method, Special Issue on Meshfree Methods for Intern. Journal for Numerical Methods in Engineering, 1998.
    Orkisz J, Meshless finite difference method. I. Basic approach. II. Adaptive approach, Proc.of the IACM - Fourth World Congress on Computational Mechanics, Buenos Aires (1998).
    Orkisz J., Adaptive Analysis of B.V. Problems by the Finite Difference Method at Arbitrary Irregular Meshes - Concept and Formulation, 12th Symp.on the Unifaction of Analytical Comp. and Experimental Solution Methodologies, Worcester-Danvers, Mass., USA, 1995.
    Orkisz J., Adaptive Approach to the Finite Difference Method for Arbitrary Irregular Grids, Interdisciplinary Symp. on Advances in Comp.Mech., Univ.of Texas Austin, 1997.
    Orkisz J., Finite Difference Method (Part III), in "Handbook of Computational Solid Mechanics", M.Kleiber (Ed.) Springer-Verlag, Berlin, 1998, 336-432.
    Orkisz J., Lezanski P., Przybylski P., Multigrid Approach to Adaptive Analysis of B.V. Problems by the Meshless GFDM, Proc. of the IUTAM/IACM Symp. Discretization Methods in Structural Mechanics II, Vienna, June 2-6, 1997.
    Orkisz J., Metoda roznic skonczonych, w "Komputerowe metody mechaniki cial stalych", M.Kleiber ed., PWN, Warszawa, 1996.
    Orkisz J., The Finite Difference Method, sec.8.4 in SAE Fatigue Design Handbook, SAE Int., Warrendale, Pa, USA, 1997.
    Petschek A.G., Libersky L.D., Cylindrical Smoothed Particle Hydrodynamics, J.Comput.Phys., 109(1), 1993, 76-S3.
    Ribault C., Buffat M., Jeandel D., Numerical Investigation of Supersonic Turbulent Flows by a Mixed Finite Volume/Finite Element Method, Computational Fluid Dynamics'92, Ch.Hirsch et al. (eds), Elsevier Science Publishers B.V., 1992, 1, 237-240.
    Rvachev V. L., Sheiko T. I., Shapiro V., Tsukanov I., On completeness of RFM solution structures, Computational Mechanics 25 (2000) 2/3, 305-317.
    Sadouki H., Wittmann F.H., Heat and Gas Transfer in a Composite Concrete-like Material Simulated by Means of Finite Volumes Methods, Numerical Methods in Engng'92, Ch.Hirsch et al. (eds), Elsevier Science Publishers B.V., 1992, 2, 871-879.
    Saigal S., Barry W., A slices based Element Free Galerkin formulation, Computational Mechanics 25 (2000) 2/3, 220-229.
    Schonauer W., Finite Difference Method of Arbitrary Consistency Order on a FEM Grid, Numerical Methods in Engng, 1996.
    Sekiguchi M., Kikuchi N., Application of Basis Functions by the Element Free Galerkin Method to Image Based CAE, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Shakib F., Hughes T.J.R., Johan Z., A New Finite Element Formulation for Computational Fluid Dynamics: X.The Compressible Euler and Navier-Stokes Equations, Comp,Methods Appl.Mech.Engng., 89, 1991, 141-219.
    Sulsky D. Chen Z., Schreyer H.L., A Practicle Method for History- Dependent Materials, Computer Methods in Applied Mechanics and Engng, 118, 1994, 179-196.
    Sulsky D., Brackbill J.U., A Numerical Method for Suspension Flow, J.Comput.Phys. 96, 1991, 339-36S.
    Swegle J.W., Attaway S.W., Heinstein M.W., Mello F.J., Hicks D.L., An Analysis of Smoothed Particle Hydrodynamics, Sandia Report SAND 93-2513, 1994.
    Tabbara M., Blacker T., Belytschko T., Finite Element Derivative Recovery by Moving Least Square Interpolants, Computer Methods in Applied Mechanics and Engng, 117 (1994), 211-223.
    Terry T.G., Fatigue Crack Propagation Modeling Using Element Free Galerkin Method, M.S. Thesis, Northwestern Univ., 1994.
    Voth T., Christon M., Results of von Neumann Analyses for Reproducing Kernel Semi-discretizations, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Wagner G. J., Liu W. K., Turbulence simulation and multiple scale subgrid models, Computational Mechanics 25 (2000) 2/3, 117-136.
    Wingate C., Dilts G., Crotzes L., Knapp C., Schwalbe L., Progress in Smooth Particle Hydrodynamics, Proc. of the Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.
    Wyatt M.J., Davies G., Snell C., A New Difference Based Finite Element Method, Instn Engineers, 59, 2, 1975, 395-409.
    Yagawa 6., Parallel Computing with Free Mesh Method: A Kind of Meshless Finite Element Method, IUTAM/IACM Symp. Discretization Methods in Structural Mechanics II, Vienna, June 2-6, 1997.
    Yagawa G., Some Remarks on Free Mesh Method: A Kind of Meshless Finite Element Method, in: Int. Conf. on Computational Engng Science, Hawaii, USA, 1995.
    Zhu T., Atluri S.N., A Modified Collocation Method and a Penalty Formulation for Enforcing the Essential Boundary Conditions in the Element Free Galerkin Method, Computational Mechanics, 21, 1998, 211-222.
    Zhu T., Zhang J.-D., Atluri S.N., A Local Boundary Integral Equation (LBIE) Method in Computational Mechanics, and a Meshless Discretization Approach, Computational Mechanics, 21, 1998, 223-235.
    Zhu T., Zhang J.-D., Atluri S.N., A Meshless Local Boundary Integral Equation (LBIE) Method for Solving Nonlinear Problems, Computational Mechanics, 22, 1998, 174-186.
    Zhu T., Zhang J.-D., Atluri S.N., A Meshless Numerical Method Based on the Local Boundary Integral Equation (LBIE) to Solve Linear and Non-linear Boundary Value Problems, Engineering Analysis with Boundary Elements, 23, 1999, 375-389.
    Zienkiewicz O.C., Onate E., Finite Volumes Versus Finite Elements. Is Really a Choice in Non-Linear Computations Mechanics. State of Art, P.Wriggers and W.Wagner (eds), Springer-Verlag, 1991.

 
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