Hu, Hsin-Yun; Chen, Jiun-Shyan Convergence analysis of reproducing kernel particle method to elliptic eigenvalue problem. (English) Zbl 07776090 Numer. Methods Partial Differ. Equations 37, No. 3, 2647-2667 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H.-Y. Hu} and \textit{J.-S. Chen}, Numer. Methods Partial Differ. Equations 37, No. 3, 2647--2667 (2021; Zbl 07776090) Full Text: DOI
Pasetto, Marco; Baek, Jonghyuk; Chen, Jiun-Shyan; Wei, Haoyan; Sherburn, Jesse A.; Roth, Michael J. A Lagrangian/semi-Lagrangian coupling approach for accelerated meshfree modelling of extreme deformation problems. (English) Zbl 1506.65182 Comput. Methods Appl. Mech. Eng. 381, Article ID 113827, 42 p. (2021). MSC: 65M99 PDFBibTeX XMLCite \textit{M. Pasetto} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113827, 42 p. (2021; Zbl 1506.65182) Full Text: DOI
Koester, Jacob J.; Chen, Jiun-Shyan Conforming window functions for meshfree methods. (English) Zbl 1440.65271 Comput. Methods Appl. Mech. Eng. 347, 588-621 (2019). MSC: 65N99 PDFBibTeX XMLCite \textit{J. J. Koester} and \textit{J.-S. Chen}, Comput. Methods Appl. Mech. Eng. 347, 588--621 (2019; Zbl 1440.65271) Full Text: DOI Link
Pasetto, Marco; Waisman, Haim; Chen, J. S. A waveform relaxation Newmark method for structural dynamics problems. (English) Zbl 1468.74068 Comput. Mech. 63, No. 6, 1223-1242 (2019). MSC: 74S05 74S99 74H15 74K99 PDFBibTeX XMLCite \textit{M. Pasetto} et al., Comput. Mech. 63, No. 6, 1223--1242 (2019; Zbl 1468.74068) Full Text: DOI
Pasetto, Marco; Leng, Yu; Chen, Jiun-Shyan; Foster, John T.; Seleson, Pablo A reproducing kernel enhanced approach for peridynamic solutions. (English) Zbl 1440.74478 Comput. Methods Appl. Mech. Eng. 340, 1044-1078 (2018). MSC: 74S99 65M99 74A45 PDFBibTeX XMLCite \textit{M. Pasetto} et al., Comput. Methods Appl. Mech. Eng. 340, 1044--1078 (2018; Zbl 1440.74478) Full Text: DOI Link
Rüter, Marcus Olavi; Chen, Jiun-Shyan An enhanced-strain error estimator for Galerkin meshfree methods based on stabilized conforming nodal integration. (English) Zbl 1397.65294 Comput. Math. Appl. 74, No. 9, 2144-2171 (2017). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. O. Rüter} and \textit{J.-S. Chen}, Comput. Math. Appl. 74, No. 9, 2144--2171 (2017; Zbl 1397.65294) Full Text: DOI
Valizadeh, N.; Bazilevs, Y.; Chen, J. S.; Rabczuk, T. A coupled IGA-meshfree discretization of arbitrary order of accuracy and without global geometry parameterization. (English) Zbl 1425.65181 Comput. Methods Appl. Mech. Eng. 293, 20-37 (2015). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{N. Valizadeh} et al., Comput. Methods Appl. Mech. Eng. 293, 20--37 (2015; Zbl 1425.65181) Full Text: DOI
Chen, Jiun-Shyan; Marodon, Camille; Hu, Hsin-Yun Model order reduction for meshfree solution of Poisson singularity problems. (English) Zbl 1352.65561 Int. J. Numer. Methods Eng. 102, No. 5, 1211-1237 (2015). MSC: 65N35 65N80 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1211--1237 (2015; Zbl 1352.65561) Full Text: DOI
Chi, Sheng-Wei; Lee, Chung-Hao; Chen, Jiun-Shyan; Guan, Pai-Chen A level set enhanced natural kernel contact algorithm for impact and penetration modeling. (English) Zbl 1352.74139 Int. J. Numer. Methods Eng. 102, No. 3-4, 839-866 (2015). MSC: 74H55 PDFBibTeX XMLCite \textit{S.-W. Chi} et al., Int. J. Numer. Methods Eng. 102, No. 3--4, 839--866 (2015; Zbl 1352.74139) Full Text: DOI
Wang, Hui-Ping; Wu, Cheng-Tang; Chen, Jiun-Shyan A reproducing kernel smooth contact formulation for metal forming simulations. (English) Zbl 1337.74046 Comput. Mech. 54, No. 1, 151-169 (2014). MSC: 74S30 74M15 PDFBibTeX XMLCite \textit{H.-P. Wang} et al., Comput. Mech. 54, No. 1, 151--169 (2014; Zbl 1337.74046) Full Text: DOI
Chi, Sheng-Wei; Chen, Jiun-Shyan; Hu, Hsin-Yun A weighted collocation on the strong form with mixed radial basis approximations for incompressible linear elasticity. (English) Zbl 1398.74317 Comput. Mech. 53, No. 2, 309-324 (2014). MSC: 74S05 74S30 65N30 74B20 65N15 PDFBibTeX XMLCite \textit{S.-W. Chi} et al., Comput. Mech. 53, No. 2, 309--324 (2014; Zbl 1398.74317) Full Text: DOI
Chi, Sheng-Wei; Chen, Jiun-Shyan; Hu, Hsin-Yun; Yang, Judy P. A gradient reproducing kernel collocation method for boundary value problems. (English) Zbl 1352.65562 Int. J. Numer. Methods Eng. 93, No. 13, 1381-1402 (2013). MSC: 65N35 PDFBibTeX XMLCite \textit{S.-W. Chi} et al., Int. J. Numer. Methods Eng. 93, No. 13, 1381--1402 (2013; Zbl 1352.65562) Full Text: DOI
Wu, C. T.; Hu, W.; Chen, J. S. A meshfree-enriched finite element method for compressible and near-incompressible elasticity. (English) Zbl 1242.74174 Int. J. Numer. Methods Eng. 90, No. 7, 882-914 (2012). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{C. T. Wu} et al., Int. J. Numer. Methods Eng. 90, No. 7, 882--914 (2012; Zbl 1242.74174) Full Text: DOI
Hu, Hsin-Yun; Chen, Jiun-Shyan; Chi, Sheng-Wei Perturbation and stability analysis of strong form collocation with reproducing kernel approximation. (English) Zbl 1242.65249 Int. J. Numer. Methods Eng. 88, No. 2, 157-179 (2011). MSC: 65N35 65N12 PDFBibTeX XMLCite \textit{H.-Y. Hu} et al., Int. J. Numer. Methods Eng. 88, No. 2, 157--179 (2011; Zbl 1242.65249) Full Text: DOI
Wu, C. T.; Park, C. K.; Chen, J. S. A generalized approximation for the meshfree analysis of solids. (English) Zbl 1217.74150 Int. J. Numer. Methods Eng. 85, No. 6, 693-722 (2011). MSC: 74S30 PDFBibTeX XMLCite \textit{C. T. Wu} et al., Int. J. Numer. Methods Eng. 85, No. 6, 693--722 (2011; Zbl 1217.74150) Full Text: DOI
Hu, Hsin-Yun; Chen, Jiun-Shyan; Hu, Wei Error analysis of collocation method based on reproducing kernel approximation. (English) Zbl 1223.65091 Numer. Methods Partial Differ. Equations 27, No. 3, 554-580 (2011). Reviewer: Kai Schneider (Marseille) MSC: 65N35 35J25 65N12 65N15 46E22 PDFBibTeX XMLCite \textit{H.-Y. Hu} et al., Numer. Methods Partial Differ. Equations 27, No. 3, 554--580 (2011; Zbl 1223.65091) Full Text: DOI
Chen, Jiun-Shyan; Hu, Wei; Hu, Hsin-Yun Localized radial basis functions with partition of unity properties. (English) Zbl 1159.65360 Ferreira, A. J. M. (ed.) et al., Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9–11, 2007. Dordrecht: Springer (ISBN 978-1-4020-8820-9/hbk). Computational Methods in Applied Sciences (Springer) 11, 37-56 (2009). MSC: 65N35 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., in: Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9--11, 2007. Dordrecht: Springer. 37--56 (2009; Zbl 1159.65360) Full Text: DOI
Chen, J. S.; Hu, W.; Hu, H. Y. Reproducing kernel enhanced local radial basis collocation method. (English) Zbl 1195.74278 Int. J. Numer. Methods Eng. 75, No. 5, 600-627 (2008). MSC: 74S30 PDFBibTeX XMLCite \textit{J. S. Chen} et al., Int. J. Numer. Methods Eng. 75, No. 5, 600--627 (2008; Zbl 1195.74278) Full Text: DOI
Chen, J. S.; Kotta, V.; Lu, H.; Wang, D.; Moldovan, D.; Wolf, D. A variational formulation and a double-grid method for meso-scale modeling of stressed grain growth in polycrystalline materials. (English) Zbl 1060.74662 Comput. Methods Appl. Mech. Eng. 193, No. 12-14, 1277-1303 (2004). MSC: 74S30 74E15 PDFBibTeX XMLCite \textit{J. S. Chen} et al., Comput. Methods Appl. Mech. Eng. 193, No. 12--14, 1277--1303 (2004; Zbl 1060.74662) Full Text: DOI
Chen, Jiun-Shyan; Yoon, Sangpil; Wang, Hui-Ping; Liu, Wing Kam An improved reproducing kernel particle method for nearly incompressible finite elasticity. (English) Zbl 0973.74088 Comput. Methods Appl. Mech. Eng. 181, No. 1-3, 117-145 (2000). MSC: 74S30 74B20 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., Comput. Methods Appl. Mech. Eng. 181, No. 1--3, 117--145 (2000; Zbl 0973.74088) Full Text: DOI