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Published on 01/01/2004
DOI: 10.1016/j.cma.2003.12.019
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 232
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- J. Sanders, T. Laursen, M. Puso. A Nitsche embedded mesh method. Comput Mech 49(2) (2011) DOI 10.1007/s00466-011-0641-2
- D. Schillinger, M. Ruess, N. Zander, Y. Bazilevs, A. Düster, E. Rank. Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method. Comput Mech 50(4) (2012) DOI 10.1007/s00466-012-0684-z
- V. Nguyen, P. Kerfriden, M. Brino, S. Bordas, E. Bonisoli. Nitsche’s method for two and three dimensional NURBS patch coupling. Comput Mech 53(6) (2013) DOI 10.1007/s00466-013-0955-3
- M. Bessa, J. Foster, T. Belytschko, W. Liu. A meshfree unification: reproducing kernel peridynamics. Comput Mech 53(6) (2014) DOI 10.1007/s00466-013-0969-x
- 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
- C. Lang, D. Makhija, A. Doostan, K. Maute. A simple and efficient preconditioning scheme for heaviside enriched XFEM. Comput Mech 54(5) (2014) DOI 10.1007/s00466-014-1063-8
- R. Sevilla, E. Barbieri. NURBS distance fields for extremely curved cracks. Comput Mech 54(6) (2014) DOI 10.1007/s00466-014-1067-4
- C. Lang, A. Sharma, A. Doostan, K. Maute. Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces. Comput Mech 56(5) (2015) DOI 10.1007/s00466-015-1199-1
- 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
- S. Chi, S. Lin. Meshfree analysis with the aid of NURBS boundary. Comput Mech 58(3) (2016) DOI 10.1007/s00466-016-1298-7
- T. Schlittler, R. Cottereau. Fully scalable implementation of a volume coupling scheme for the modeling of multiscale materials. Comput Mech 60(5) (2017) DOI 10.1007/s00466-017-1445-9
- Q. He, J. Chen, C. Marodon. A decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function method. Comput Mech 63(3) (2018) DOI 10.1007/s00466-018-1611-8
- M. Pasetto, H. Waisman, J. Chen. A waveform relaxation Newmark method for structural dynamics problems. Comput Mech 63(6) (2018) DOI 10.1007/s00466-018-1646-x
- Y. Shao, Q. Duan, S. Qiu. Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture. Comput Mech 64(3) (2019) DOI 10.1007/s00466-019-01679-2
- A. Mahdavi, S. Chi, H. Zhu. A gradient reproducing kernel collocation method for high order differential equations. Comput Mech 64(5) (2019) DOI 10.1007/s00466-019-01724-0
- 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
- A note on the flat-top size effect in the partition of unity method. thejournalofeurasianstudies 12(4) DOI 10.31203/aepa.2015.12.4.013
- U. Sajja, S. Felicelli. Element-free Galerkin method for thermosolutal convection and macrosegregation. Int. J. Numer. Meth. Fluids (2009) DOI 10.1002/fld.2169
- A. Galavís, D. González, E. Cueto. A natural neighbour Lagrange-Galerkin method for the simulation of Newtonian and Oldroyd-B free surface flows. Int. J. Numer. Meth. Fluids 70(7) (2011) DOI 10.1002/fld.2718
- N. Wan, K. Du, R. Mo, T. Chen. The Electrochemical Machining Analysis of Aeroengine Blade Based on Isogeometric Method. Advances in Mechanical Engineering 7(2) (2014) DOI 10.1155/2014/893565
- J. Chen, R. Basava, Y. Zhang, R. Csapo, V. Malis, U. Sinha, J. Hodgson, S. Sinha. Pixel-based meshfree modelling of skeletal muscles. Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization 4(2) (2015) DOI 10.1080/21681163.2015.1049712
- 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
- Z. Feng, X. Wang, J. Ouyang. An improved element-free Galerkin method for solving the generalized fifth-order Korteweg—de Vries equation. Chinese Phys. B 22(7) (2013) DOI 10.1088/1674-1056/22/7/074704
- T. Chen, R. Mo, Z. Gong. Imposing Essential Boundary Conditions in Isogeometric Analysis with Nitsche’s Method. AMM 121-126 (2011) DOI 10.4028/www.scientific.net/amm.121-126.2779
- V. Rosca, N. Ţăranu, L. Bejan, A. Axinte. Element Free Galerkin Formulation for Problems in Composite Micromechanics. AMM 809-810 (2015) DOI 10.4028/www.scientific.net/amm.809-810.896
- Z. Hah, H. Kim, S. Youn. Study on the Local Refinement in Spline Finite Element Method by Using Hierarchical B-spline. Transactions of the Korean Society of Mechanical Engineers A 34(8) DOI 10.3795/ksme-a.2010.34.8.1007
- A. HUERTA, Y. VIDAL, J. BONET. UPDATED LAGRANGIAN FORMULATION FOR CORRECTED SMOOTH PARTICLE HYDRODYNAMICS. Int. J. Comput. Methods 03(04) (2011) DOI 10.1142/s0219876206001120
- T. BUI, M. NGUYEN. MESHFREE GALERKIN KRIGING MODEL FOR BENDING AND BUCKLING ANALYSIS OF SIMPLY SUPPORTED LAMINATED COMPOSITE PLATES. Int. J. Comput. Methods 10(03) (2013) DOI 10.1142/s0219876213500114
- Y. Yoon, K. Kim, S. Lee. Analysis of Dynamic Crack Propagation using MLS Difference Method. Journal of the Computational Structural Engineering Institute of Korea 27(1) DOI 10.7734/coseik.2014.27.1.17
- Y. Wu, H. Choi, J. Crawford. Concrete fragmentation modeling using coupled finite element - meshfree formulations. Interaction and multiscale mechanics 6(2) DOI 10.12989/imm.2013.6.2.173
- D. Schillinger, Q. Cai, R. Mundani, E. Rank. A Review of the Finite Cell Method for Nonlinear Structural Analysis of Complex CAD and Image-Based Geometric Models. (2013) DOI 10.1007/978-3-642-38762-3_1
- J. Sanders, M. Puso. An embedded mesh method for treating overlapping finite element meshes. Int. J. Numer. Meth. Engng 91(3) (2012) DOI 10.1002/nme.4265
- Q. Duan, X. Li, H. Zhang, T. Belytschko. Second-order accurate derivatives and integration schemes for meshfree methods. Int. J. Numer. Meth. Engng 92(4) (2012) DOI 10.1002/nme.4359
- M. Ruess, D. Schillinger, Y. Bazilevs, V. Varduhn, E. Rank. Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method. Int. J. Numer. Meth. Engng 95(10) (2013) DOI 10.1002/nme.4522
- 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
- J. Chen, C. Marodon, H. Hu. Model order reduction for meshfree solution of Poisson singularity problems. Int. J. Numer. Meth. Engng 102(5) (2014) DOI 10.1002/nme.4743
- D. Restrepo, J. Bielak. Virtual topography: A fictitious domain approach for analyzing free-surface irregularities in large-scale earthquake ground motion simulation. Int. J. Numer. Meth. Engng 100(7) (2014) DOI 10.1002/nme.4756
- S. Kollmannsberger, A. Özcan, J. Baiges, M. Ruess, E. Rank, A. Reali. Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches. Int. J. Numer. Meth. Engng 101(9) (2014) DOI 10.1002/nme.4817
- A. Ramos, A. Aragón, S. Soghrati, P. Geubelle, J. Molinari. A new formulation for imposing Dirichlet boundary conditions on non-matching meshes. Int. J. Numer. Meth. Engng 103(6) (2015) DOI 10.1002/nme.4898
- V. Varduhn, M. Hsu, M. Ruess, D. Schillinger. The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes. Int. J. Numer. Meth. Engng 107(12) (2016) DOI 10.1002/nme.5207
- G. Sarego, Q. Le, F. Bobaru, M. Zaccariotto, U. Galvanetto. Linearized state-based peridynamics for 2-D problems. Int. J. Numer. Meth. Engng 108(10) (2016) DOI 10.1002/nme.5250
- S. Riehl, P. Steinmann. On structural shape optimization using an embedding domain discretization technique. Int. J. Numer. Meth. Engng 109(9) (2016) DOI 10.1002/nme.5326
- Z. Zou, W. Aquino, I. Harari. Nitsche's method for Helmholtz problems with embedded interfaces. Int. J. Numer. Meth. Engng 110(7) (2016) DOI 10.1002/nme.5369
- 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
- M. Cortis, W. Coombs, C. Augarde, M. Brown, A. Brennan, S. Robinson. Imposition of essential boundary conditions in the material point method. Int. J. Numer. Meth. Engng 113(1) (2017) DOI 10.1002/nme.5606
- L. Gori, S. Silva Penna, R. da Silva Pitangueira. Smoothed point interpolation methods for the regularization of material instabilities in scalar damage models. Int J Numer Methods Eng 117(7) (2018) DOI 10.1002/nme.5974
- D. Hu, Y. Wang, Y. Li, X. Han, Y. Gu. A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis. Acta Mech Sin 30(1) (2014) DOI 10.1007/s10409-013-0090-6
- H. Razmjoo, M. Movahhedi, A. Hakimi. An efficient meshless method based on a new shape function. Int. J. Numer. Model. 23(6) (2010) DOI 10.1002/jnm.752
- M. Arroyo, M. Ortiz. Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Int. J. Numer. Meth. Engng 65(13) (2006) DOI 10.1002/nme.1534
- N. Moës, E. Béchet, M. Tourbier. Imposing Dirichlet boundary conditions in the extended finite element method. Int. J. Numer. Meth. Engng 67(12) (2006) DOI 10.1002/nme.1675
- H. Mourad, J. Dolbow, I. Harari. A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces. Int. J. Numer. Meth. Engng 69(4) (2006) DOI 10.1002/nme.1788
- 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
- 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
- R. Sevilla, S. Fernández-Méndez, A. Huerta. NURBS-enhanced finite element method (NEFEM). Int. J. Numer. Meth. Engng 76(1) DOI 10.1002/nme.2311
- A. Lew, G. Buscaglia. A discontinuous-Galerkin-based immersed boundary method. Int. J. Numer. Meth. Engng 76(4) DOI 10.1002/nme.2312
- 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
- J. Dolbow, I. Harari. An efficient finite element method for embedded interface problems. Int. J. Numer. Meth. Engng 78(2) DOI 10.1002/nme.2486
- É. Béchet, N. Moës, B. Wohlmuth. A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method. Int. J. Numer. Meth. Engng 78(8) DOI 10.1002/nme.2515
- A. Zilian, T. Fries. A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM). Int. J. Numer. Meth. Engng 79(6) DOI 10.1002/nme.2596
- X. Zhuang, C. Augarde. Aspects of the use of orthogonal basis functions in the element-free Galerkin method. Int. J. Numer. Meth. Engng DOI 10.1002/nme.2696
- A. Gerstenberger, W. Wall. An embedded Dirichlet formulation for 3D continua. Int. J. Numer. Meth. Engng DOI 10.1002/nme.2755
- A. Embar, J. Dolbow, I. Harari. Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements. Int. J. Numer. Meth. Engng DOI 10.1002/nme.2863
- T. Fries, T. Belytschko. The extended/generalized finite element method: An overview of the method and its applications. Int. J. Numer. Meth. Engng. (2010) DOI 10.1002/nme.2914
- D. Millán, A. Rosolen, M. Arroyo. Thin shell analysis from scattered points with maximum-entropy approximants. Int. J. Numer. Meth. Engng. 85(6) (2010) DOI 10.1002/nme.2992
- A. Zamani, M. Eslami. Embedded interfaces by polytope FEM. Int. J. Numer. Meth. Engng. 88(8) (2011) DOI 10.1002/nme.3193
- H. Talebi, C. Samaniego, E. Samaniego, T. Rabczuk. On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods. Int. J. Numer. Meth. Engng 89(8) (2011) DOI 10.1002/nme.3275
- S. Ghorashi, N. Valizadeh, S. Mohammadi. Extended isogeometric analysis for simulation of stationary and propagating cracks. Int. J. Numer. Meth. Engng 89(9) (2011) DOI 10.1002/nme.3277
- D. Schillinger, A. Düster, E. Rank. The hp-d-adaptive finite cell method for geometrically nonlinear problems of solid mechanics. Int. J. Numer. Meth. Engng 89(9) (2011) DOI 10.1002/nme.3289
- E. Barbieri, N. Petrinic, M. Meo, V. Tagarielli. A new weight-function enrichment in meshless methods for multiple cracks in linear elasticity. Int. J. Numer. Meth. Engng 90(2) (2011) DOI 10.1002/nme.3313
- J. Baiges, R. Codina, F. Henke, S. Shahmiri, W. Wall. A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes. Int. J. Numer. Meth. Engng 90(5) (2012) DOI 10.1002/nme.3339
- T. Bui, M. Nguyen, C. Zhang, D. Pham. An efficient meshfree method for analysis of two-dimensional piezoelectric structures. Smart Mater. Struct. 20(6) (2011) DOI 10.1088/0964-1726/20/6/065016
- T. Sawada. Interface-Reproducing Capturing (IRC) Technique for Fluid-Structure Interaction: Methods and Applications. (2018) DOI 10.1007/978-3-319-96469-0_11
- A. Huerta, T. Belytschko, S. Fernández-Méndez, T. Rabczuk, X. Zhuang, M. Arroyo. Meshfree Methods. (2017) DOI 10.1002/9781119176817.ecm2005
- J. Chen, W. Liu, M. Hillman, S. Chi, Y. Lian, M. Bessa. Reproducing Kernel Particle Method for Solving Partial Differential Equations. (2017) DOI 10.1002/9781119176817.ecm2104
- N. Rotundo, T. Kim, W. Jiang, L. Heltai, E. Fried. Error Analysis of a B-Spline Based Finite-Element Method for Modeling Wind-Driven Ocean Circulation. J Sci Comput 69(1) (2016) DOI 10.1007/s10915-016-0201-1
- Q. Xia, L. Xia, T. Shi. Topology optimization of thermal actuator and its support using the level set based multiple–type boundary method and sensitivity analysis based on constrained variational principle. Struct Multidisc Optim 57(3) (2017) DOI 10.1007/s00158-017-1814-1
- R. Rossi, M. Krajnc Alves, H. Al‐Qureshi. An element‐free Galerkin method for metal forming simulations. Engineering Computations 26(4) DOI 10.1108/02644400910959142
- Z. Liu, X. Huang. Solving Finite Element Problem through Parallel Method Based on Cluster. (2012) DOI 10.1007/978-3-642-03718-4_90
- J. Chen, T. Belytschko. Meshless and Meshfree Methods. (2015) DOI 10.1007/978-3-540-70529-1_531
- L. Yaw, S. Kunnath, N. Sukumar. Meshfree Method for Inelastic Frame Analysis. J. Struct. Eng. 135(6) DOI 10.1061/(asce)0733-9445(2009)135:6(676)
- J. Chen, M. Hillman, S. Chi. Meshfree Methods: Progress Made after 20 Years. J. Eng. Mech. 143(4) DOI 10.1061/(asce)em.1943-7889.0001176
- 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
- M. KURUMATANI, K. TERADA. ON FINITE ELEMENT MESH CONNECTION METHODS FOR DOMAIN DECOMPOSITION PROBLEMS. JSCE JOURNAL OF STRUCTURAL AND EARTHQUAKE ENGINEERING 62(2) DOI 10.2208/jsceja.62.345
- E. Yang, S. Wang, J. Mo, Q. Liang, W. Xu. Analysis of harmonic electromagnetic field using element-free Galerkin method. Int. J. Numer. Meth. Biomed. Engng. 27(6) (2009) DOI 10.1002/cnm.1335
- C. Augarde, A. Deeks. On the effects of nodal distributions for imposition of essential boundary conditions in the MLPG meshfree method. Commun. Numer. Meth. Engng. 21(7) (2005) DOI 10.1002/cnm.755
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