1 Title, abstract and keywords
2 The main text
3 Bibliography
4 Acknowledgments
5 References
Back to Top
Document information
Published on 01/01/2000
DOI: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 130
Crossref Cited-by Times cited: 131
OpenCitations.net Times cited: 70
OpenCitations.net - Citing documents:
- T. Fries. The intrinsic XFEM for two-fluid flows. Int. J. Numer. Meth. Fluids 60(4) DOI 10.1002/fld.1901
- I. Singh, B. Mishra, M. Brahmankar, V. Bhasin, K. Sharma, I. Khan. Numerical Simulations of 3-D Cracks Using Coupled EFGM and FEM. International Journal for Computational Methods in Engineering Science and Mechanics 15(3) (2014) DOI 10.1080/15502287.2014.882438
- S. Fernández-Méndez, A. Huerta. Coupling Finite Elements and Particles for Adaptivity: An Application to Consistently Stabilized Convection-Diffusion. DOI 10.1007/978-3-642-56103-0_9
- A. Hekmat, A. Yassin, Z. Yusop, M. Kashefizad. Weak Imposition of Essential Boundary Conditions in Isogeometric Analysis of Depth Averaged Advection Dispersion Equation. J. of Applied Sciences 15(2) DOI 10.3923/jas.2015.184.194
- L. Liu, X. Dong, C. Li. Adaptive finite element-element-free Galerkin coupling method for bulk metal forming processes. J. Zhejiang Univ. Sci. A 10(3) (2009) DOI 10.1631/jzus.a0820286
- R. Vignjevic, J. Campbell. Review of Development of the Smooth Particle Hydrodynamics (SPH) Method. (2009) DOI 10.1007/978-1-4419-0727-1_20
- G. Rohit, J. Prajapati, V. Patel. Coupling of Finite Element and Meshfree Method for Structure Mechanics Application: A Review. Int. J. Comput. Methods 17(04) (2019) DOI 10.1142/s0219876218501517
- Y. Zhang, W. Ge, Z. Zhang, X. Mo, Y. Zhang. A Directly Coupled Finite Element – Meshless Method with Varying Dilation Parameter. (2019) DOI 10.1007/978-981-15-0142-5_24
- T. Fries, T. Belytschko. New Shape Functions for Arbitrary Discontinuities without Additional Unknowns. DOI 10.1007/978-3-540-46222-4_6
- K. Shibanuma, T. Utsunomiya, S. Aihara. An explicit application of partition of unity approach to XFEM approximation for precise reproduction ofa prioriknowledge of solution. Int. J. Numer. Meth. Engng 97(8) (2013) DOI 10.1002/nme.4593
- Q. Duan, X. Gao, B. Wang, X. Li, H. Zhang, T. Belytschko, Y. Shao. Consistent element-free Galerkin method. Int. J. Numer. Meth. Engng 99(2) (2014) DOI 10.1002/nme.4661
- H. Zheng, W. Li, X. Du. Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods. Int. J. Numer. Meth. Engng 110(7) (2016) DOI 10.1002/nme.5370
- A. Zanette, M. Ferronato, C. Janna. Enriching the finite element method with meshfree particles in structural mechanics. Int. J. Numer. Meth. Engng 110(7) (2016) DOI 10.1002/nme.5437
- J. Chen, W. Han, Y. You, X. Meng. A reproducing kernel method with nodal interpolation property. Int. J. Numer. Meth. Engng. 56(7) (2003) DOI 10.1002/nme.592
- A. Huerta, S. Fernández-Méndez. Time accurate consistently stabilized mesh-free methods for convection dominated problems. Int. J. Numer. Meth. Engng. 56(9) (2003) DOI 10.1002/nme.602
- H. Kim. Arbitrary placement of local meshes in a global mesh by the interface-element method (IEM). Int. J. Numer. Meth. Engng. 56(15) (2003) DOI 10.1002/nme.648
- M. Alves, R. Rossi. A modified element-free Galerkin method with essential boundary conditions enforced by an extended partition of unity finite element weight function. Int. J. Numer. Meth. Engng. 57(11) (2003) DOI 10.1002/nme.730
- T. Fries, T. Belytschko. The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Int. J. Numer. Meth. Engng 68(13) (2006) DOI 10.1002/nme.1761
- Y. Vidal, J. Bonet, A. Huerta. Stabilized updated Lagrangian corrected SPH for explicit dynamic problems. Int. J. Numer. Meth. Engng 69(13) (2007) DOI 10.1002/nme.1859
- S. Zhang, R. Khare, Q. Lu, T. Belytschko. A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids. Int. J. Numer. Meth. Engng 70(8) (2007) DOI 10.1002/nme.1895
- R. Tian, G. Yagawa. Non-matching mesh gluing by meshless interpolation—an alternative to Lagrange multipliers. Int. J. Numer. Meth. Engng 71(4) (2007) DOI 10.1002/nme.1961
- X. Li, Q. Duan, X. Han, D. Sheng. Adaptive coupled arbitrary Lagrangian–Eulerian finite element and meshfree method for injection molding process. Int. J. Numer. Meth. Engng 73(8) (2008) DOI 10.1002/nme.2117
- A. Huerta, S. Fernández‐Méndez. Locking in the incompressible limit for the element‐free Galerkin method. Int. J. Numer. Meth. Engng. 51(11) DOI 10.1002/nme.213
- J. Chen, W. Hu, H. Hu. Reproducing kernel enhanced local radial basis collocation method. Int. J. Numer. Meth. Engng 75(5) DOI 10.1002/nme.2269
- Y. Vidal, N. Parés, P. Díez, A. Huerta. Bounds for quantities of interest and adaptivity in the element-free Galerkin method. Int. J. Numer. Meth. Engng 76(11) DOI 10.1002/nme.2380
- S. Rajendran, B. Zhang, K. Liew. A partition of unity-based âFEâMeshfreeâ QUAD4 element for geometric non-linear analysis. Int. J. Numer. Meth. Engng DOI 10.1002/nme.2820
- K. Rajesh, B. Rao. Coupled meshfree and fractal finite element method for mixed mode two-dimensional crack problems. Int. J. Numer. Meth. Engng. (2010) DOI 10.1002/nme.2910
- C. Wu, C. Park, J. Chen. A generalized approximation for the meshfree analysis of solids. Int. J. Numer. Meth. Engng. 85(6) (2010) DOI 10.1002/nme.2991
- R. Tian, A. To, W. Liu. Conforming local meshfree method. Int. J. Numer. Meth. Engng. 86(3) (2010) DOI 10.1002/nme.3067
- C. Wu, W. Hu, J. Chen. A meshfree-enriched finite element method for compressible and near-incompressible elasticity. Int. J. Numer. Meth. Engng 90(7) (2012) DOI 10.1002/nme.3349
- S. Hao, H. Park, W. Liu. Moving particle finite element method. Int. J. Numer. Meth. Engng. 53(8) (2002) DOI 10.1002/nme.368
- S. Kulkarni, A. Tabarraei. A Stochastic Analysis of the Damping Property of Filled Elastomers. Macromol. Theory Simul. 28(2) (2018) DOI 10.1002/mats.201800062
- A. Huerta, T. Belytschko, S. Fernández-Méndez, T. Rabczuk, X. Zhuang, M. Arroyo. Meshfree Methods. (2017) DOI 10.1002/9781119176817.ecm2005
- E. Stein, M. Olavi Rüter. Finite Element Methods for Elasticity with Error-Controlled Discretization and Model Adaptivity. (2017) DOI 10.1002/9781119176817.ecm2025
- E. Erkmen, M. Bradford. Coupling of finite element and meshfree methods for locking‐free analysis of shear‐deformable beams and plates. Engineering Computations 28(8) DOI 10.1108/02644401111179009
- T. Rantalainen, A. Mikkola, S. Moisio, G. Marquis. A Method for Obtaining the Dynamic Stress History from a Flexible Multibody Simulation Using Sub-Modeling#. Mechanics Based Design of Structures and Machines 41(3) DOI 10.1080/15397734.2012.757514
- J. Chen, T. Belytschko. Meshless and Meshfree Methods. (2015) DOI 10.1007/978-3-540-70529-1_531
- H. Wang, D. Wang. Efficient Meshfree Computation with Fast Treatment of Essential Boundary Conditions for Industrial Applications. J. Eng. Mech. 135(10) DOI 10.1061/(asce)em.1943-7889.0000026
- S. Hosseini, M. Malekan, R. Pitangueira, R. Silva. Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation. Lat. Am. j. solids struct. 14(6) DOI 10.1590/1679-78253607
- F. Caleyron, Y. Chuzel-Marmot, A. Combescure. Modeling of reinforced concrete through SPH-FE coupling and its application to the simulation of a projectile's impact onto a slab. Int. J. Numer. Meth. Biomed. Engng. 27(6) (2009) DOI 10.1002/cnm.1341
- E. Cueto, J. Cegoñino, B. Calvo, M. Doblaré. On the imposition of essential boundary conditions in natural neighbour Galerkin methods. Commun. Numer. Meth. Engng. 19(5) (2003) DOI 10.1002/cnm.595
- Y. Vidal, P. Villon, A. Huerta. Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. Commun. Numer. Meth. Engng. 19(9) (2003) DOI 10.1002/cnm.631
- T. Rabczuk, S. Xiao, M. Sauer. Coupling of mesh-free methods with finite elements: basic concepts and test results. Commun. Numer. Meth. Engng. 22(10) (2006) DOI 10.1002/cnm.871
- A. Huerta, S. Fernández-Méndez, P. Díez. Enrichissement des interpolations d'éléments finis en utilisant des méthodes sans maillage. ESAIM: M2AN 36(6) (2003) DOI 10.1051/m2an:2003004
- Q. Zhang. Quadrature for meshless Nitsche's method. Numer. Methods Partial Differential Eq. 30(1) (2013) DOI 10.1002/num.21808
- E. Cueto, N. Sukumar, B. Calvo, M. Martínez, J. Cegoñino, M. Doblaré. Overview and recent advances in natural neighbour galerkin methods. ARCO 10(4) DOI 10.1007/bf02736253
- Z. Ullah, W. Coombs, C. Augarde. Parallel computations in nonlinear solid mechanics using adaptive finite element and meshless methods. Engineering Computations 33(4) DOI 10.1108/ec-06-2015-0166
- S. Li, W. Liu. Meshfree and particle methods and their applications. 55(1) (2002) DOI 10.1115/1.1431547
- C. Guedes, J. César de Sá. A proposal to deal with contact and friction by blending meshfree and finite element methods in forming processes. Int J Mater Form 1(4) (2008) DOI 10.1007/s12289-008-0382-8
- E. Cueto, F. Chinesta. Meshless methods for the simulation of material forming. Int J Mater Form 8(1) (2013) DOI 10.1007/s12289-013-1142-y
- F. Greco, L. Filice, C. Peco, M. Arroyo. A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming. Int J Mater Form 8(3) (2014) DOI 10.1007/s12289-014-1167-x
- Y. Vidal, P. Villon, A. Huerta. Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. Revue Européenne des Éléments Finis 11(7-8) (2012) DOI 10.3166/reef.11.869-892
- G. Legrain, N. Moës, A. Huerta. Etude de la stabilité d’une formulation incompressible traitée par X-FEM. European Journal of Computational Mechanics 15(1-3) (2012) DOI 10.3166/remn.15.257-268
- T. Chen, I. Raju. Coupling Finite Element and Meshless Petrov-Galerkin Methods for Two-Dimensional Potential Problems. (2012) DOI 10.2514/6.2002-1659
- K. Rajesh, B. Rao. Two-dimensional analysis of anisotropic crack problems using coupled meshless and fractal finite element method. Int J Fract 164(2) (2010) DOI 10.1007/s10704-010-9496-3
- H. Kim, H. Kim. An adaptive procedure based on combining finite elements with meshless methods. J Mech Sci Technol 23(8) (2010) DOI 10.1007/s12206-009-0510-5
- T. Menouillard, T. Belytschko. Dynamic fracture with meshfree enriched XFEM. Acta Mech 213(1-2) (2010) DOI 10.1007/s00707-009-0275-z
- T. Fries, H. Matthies. Simulation of Incompressible Flows with Coupled FEM/EFG shape functions. Proc. Appl. Math. Mech. 5(1) DOI 10.1002/pamm.200510207
- R. Rossi, M. Alves. On the Analysis of an EFG Method Under Large Deformations and Volumetric Locking. Comput Mech 39(4) (2006) DOI 10.1007/s00466-006-0035-z
- A. Shaw, D. Roy. A NURBS-based Error Reproducing Kernel Method with Applications in Solid Mechanics. Comput Mech 40(1) (2006) DOI 10.1007/s00466-006-0090-5
- C. Lee, Y. Shuai. An automatic adaptive refinement procedure for the reproducing kernel particle method. Part II: Adaptive refinement. Comput Mech 40(3) (2006) DOI 10.1007/s00466-006-0113-2
- T. Fries, T. Belytschko. The intrinsic partition of unity method. Comput Mech 40(4) (2007) DOI 10.1007/s00466-006-0142-x
- Y. Wang, S. Chen, C. Wu. A meshless collocation method based on the differential reproducing kernel interpolation. Comput Mech 45(6) (2010) DOI 10.1007/s00466-010-0472-6
- R. Erkmen, M. Bradford. Elimination of slip-locking in composite beam-column analysis by using the element-free Galerkin method. Comput Mech 46(6) (2010) DOI 10.1007/s00466-010-0526-9
- C. Wu, D. Young, H. Hong. Adaptive meshless local maximum-entropy finite element method for convection–diffusion problems. Comput Mech 53(1) (2013) DOI 10.1007/s00466-013-0901-4
- Q. Duan, B. Wang, X. Gao, X. Li. Quadratically consistent nodal integration for second order meshfree Galerkin methods. Comput Mech 54(2) (2014) DOI 10.1007/s00466-014-0989-1
- J. Costa, P. Pimenta, P. Wriggers. Meshless analysis of shear deformable shells: boundary and interface constraints. Comput Mech 57(4) (2016) DOI 10.1007/s00466-015-1253-z
- D. del Pozo, I. Lopez-Gomez, I. Romero. A robust asymmetrical contact algorithm for explicit solid dynamics. Comput Mech 64(1) (2018) DOI 10.1007/s00466-018-1654-x
- A. La Spina, M. Giacomini, A. Huerta. Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. Comput Mech 65(2) (2019) DOI 10.1007/s00466-019-01770-8
- Y. Gong, Z. Yang, Y. Wang. Impact Simulation on Ductile Metal Pipe with Polymer Coating by a Coupled Finite Element and Meshfree Method. J Fail. Anal. and Preven. 12(3) (2012) DOI 10.1007/s11668-012-9555-3
Share this document
Keywords
claim authorship
Are you one of the authors of this document?