Lyu, Yuhui; Pathirage, Madura; Ramyar, Elham; Liu, Wing Kam; Cusatis, Gianluca Machine learning meta-models for fast parameter identification of the lattice discrete particle model. (English) Zbl 1526.74072 Comput. Mech. 72, No. 3, 593-612 (2023). MSC: 74S99 74E30 74G75 74R99 68T05 PDFBibTeX XMLCite \textit{Y. Lyu} et al., Comput. Mech. 72, No. 3, 593--612 (2023; Zbl 1526.74072) Full Text: DOI
Park, Chanwook; Lu, Ye; Saha, Sourav; Xue, Tianju; Guo, Jiachen; Mojumder, Satyajit; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration. (English) Zbl 07719578 Comput. Mech. 72, No. 2, 383-409 (2023). MSC: 74S99 74S05 68T05 68T07 PDFBibTeX XMLCite \textit{C. Park} et al., Comput. Mech. 72, No. 2, 383--409 (2023; Zbl 07719578) Full Text: DOI
Li, Hengyang; Knapik, Stefan; Li, Yangfan; Park, Chanwook; Guo, Jiachen; Mojumder, Satyajit; Lu, Ye; Chen, Wei; Apley, Daniel W.; Liu, Wing Kam Convolution hierarchical deep-learning neural network tensor decomposition (C-HiDeNN-TD) for high-resolution topology optimization. (English) Zbl 1524.74386 Comput. Mech. 72, No. 2, 363-382 (2023). MSC: 74P15 65D18 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Mech. 72, No. 2, 363--382 (2023; Zbl 1524.74386) Full Text: DOI
Lu, Ye; Li, Hengyang; Zhang, Lei; Park, Chanwook; Mojumder, Satyajit; Knapik, Stefan; Sang, Zhongsheng; Tang, Shaoqiang; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. (English) Zbl 1527.74082 Comput. Mech. 72, No. 2, 333-362 (2023). MSC: 74S99 74S05 74S22 74F05 74P15 68T05 68T07 PDFBibTeX XMLCite \textit{Y. Lu} et al., Comput. Mech. 72, No. 2, 333--362 (2023; Zbl 1527.74082) Full Text: DOI
Saha, Sourav; Park, Chanwook; Knapik, Stefan; Guo, Jiachen; Huang, Owen; Liu, Wing Kam Deep learning discrete calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research. (English) Zbl 07719575 Comput. Mech. 72, No. 2, 311-331 (2023). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Saha} et al., Comput. Mech. 72, No. 2, 311--331 (2023; Zbl 07719575) Full Text: DOI arXiv
Huang, Owen; Saha, Sourav; Guo, Jiachen; Liu, Wing Kam An introduction to kernel and operator learning methods for homogenization by self-consistent clustering analysis. (English) Zbl 07691258 Comput. Mech. 72, No. 1, 195-219 (2023). MSC: 74-XX PDFBibTeX XMLCite \textit{O. Huang} et al., Comput. Mech. 72, No. 1, 195--219 (2023; Zbl 07691258) Full Text: DOI arXiv
Liu, Yingjian; Park, Chanwook; Lu, Ye; Mojumder, Satyajit; Liu, Wing Kam; Qian, Dong HiDeNN-FEM: a seamless machine learning approach to nonlinear finite element analysis. (English) Zbl 1523.74175 Comput. Mech. 72, No. 1, 173-194 (2023). MSC: 74S05 74S99 68T05 68T07 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Mech. 72, No. 1, 173--194 (2023; Zbl 1523.74175) Full Text: DOI
Liu, Wing Kam (ed.); Bessa, Miguel A. (ed.); Chinesta, Francisco (ed.); Li, Shaofan (ed.); Trask, Nathaniel (ed.) Special issue of computational mechanics on machine learning theories, modeling, and applications to computational materials science, additive manufacturing, mechanics of materials, design and optimization. (English) Zbl 07691248 Comput. Mech. 72, No. 1, 1-2 (2023). MSC: 00Bxx 74-XX PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) et al., Comput. Mech. 72, No. 1, 1--2 (2023; Zbl 07691248) Full Text: DOI
Gao, Jiaying; Mojumder, Satyajit; Zhang, Weizhao; Li, Hengyang; Suarez, Derick; He, Chunwang; Cao, Jian; Liu, Wing Kam Concurrent \(n\)-scale modeling for non-orthogonal woven composite. (English) Zbl 1501.74069 Comput. Mech. 70, No. 4, 853-866 (2022). MSC: 74S99 74E30 74-10 PDFBibTeX XMLCite \textit{J. Gao} et al., Comput. Mech. 70, No. 4, 853--866 (2022; Zbl 1501.74069) Full Text: DOI arXiv
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam Multiresolution clustering analysis for efficient modeling of hierarchical material systems. (English) Zbl 1468.74092 Comput. Mech. 67, No. 5, 1293-1306 (2021). MSC: 74S99 74A99 74M25 68T05 PDFBibTeX XMLCite \textit{C. Yu} et al., Comput. Mech. 67, No. 5, 1293--1306 (2021; Zbl 1468.74092) Full Text: DOI
Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam Hierarchical deep-learning neural networks: finite elements and beyond. (English) Zbl 07360501 Comput. Mech. 67, No. 1, 207-230 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Mech. 67, No. 1, 207--230 (2021; Zbl 07360501) Full Text: DOI
Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam Analytical expression of RKPM shape functions. (English) Zbl 1467.74094 Comput. Mech. 66, No. 6, 1343-1352 (2020). MSC: 74S22 65D17 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Mech. 66, No. 6, 1343--1352 (2020; Zbl 1467.74094) Full Text: DOI
Cheng, Yi; Cheng, Hui; Zhang, Kaifu; Jones, Kevontrez Kyvon; Gao, Jiaying; Hu, Junshan; Li, Hailin; Liu, Wing Kam A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites. (English) Zbl 1465.74141 Comput. Mech. 64, No. 5, 1321-1337 (2019). MSC: 74Q15 74E30 74M25 74E05 74S05 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Comput. Mech. 64, No. 5, 1321--1337 (2019; Zbl 1465.74141) Full Text: DOI
Yang, Hang; Guo, Xu; Tang, Shan; Liu, Wing Kam Derivation of heterogeneous material laws via data-driven principal component expansions. (English) Zbl 1467.74013 Comput. Mech. 64, No. 2, 365-379 (2019). MSC: 74B20 74A20 74E05 74S99 PDFBibTeX XMLCite \textit{H. Yang} et al., Comput. Mech. 64, No. 2, 365--379 (2019; Zbl 1467.74013) Full Text: DOI
Zhang, Lei; Tang, Shaoqiang; Yu, Cheng; Zhu, Xi; Liu, Wing Kam Fast calculation of interaction tensors in clustering-based homogenization. (English) Zbl 1467.74100 Comput. Mech. 64, No. 2, 351-364 (2019). MSC: 74S99 74Q05 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Mech. 64, No. 2, 351--364 (2019; Zbl 1467.74100) Full Text: DOI
Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam Clustering discretization methods for generation of material performance databases in machine learning and design optimization. (English) Zbl 1470.74073 Comput. Mech. 64, No. 2, 281-305 (2019). MSC: 74S99 74A99 74P15 68T05 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Mech. 64, No. 2, 281--305 (2019; Zbl 1470.74073) Full Text: DOI
Liu, Wing Kam (ed.); Karniadakis, George (ed.); Tang, Shaoqiang (ed.); Yvonnet, Julien (ed.) A Computational Mechanics special issue on: Data-driven modeling and simulation – theory, methods, and applications. (English) Zbl 1476.00073 Comput. Mech. 64, No. 2, 275-277 (2019). MSC: 00B15 74-06 PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) et al., Comput. Mech. 64, No. 2, 275--277 (2019; Zbl 1476.00073) Full Text: DOI
Shakoor, Modesar; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam Data science for finite strain mechanical science of ductile materials. (English) Zbl 1467.74017 Comput. Mech. 64, No. 1, 33-45 (2019). MSC: 74C15 74A20 74A60 PDFBibTeX XMLCite \textit{M. Shakoor} et al., Comput. Mech. 64, No. 1, 33--45 (2019; Zbl 1467.74017) Full Text: DOI HAL
Wang, Zekun; Yan, Wentao; Liu, Wing Kam; Liu, Moubin Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method. (English) Zbl 1468.74014 Comput. Mech. 63, No. 4, 649-661 (2019). MSC: 74F05 74S10 74S99 74N99 78A60 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Mech. 63, No. 4, 649--661 (2019; Zbl 1468.74014) Full Text: DOI
Li, Guohe; Gao, Jiaying; Kafka, Orion L.; Smith, Jacob; Liu, Wing Kam Implementation and application of the multiresolution continuum theory. (English) Zbl 1468.74067 Comput. Mech. 63, No. 4, 631-647 (2019). MSC: 74S05 74L15 74C99 PDFBibTeX XMLCite \textit{G. Li} et al., Comput. Mech. 63, No. 4, 631--647 (2019; Zbl 1468.74067) Full Text: DOI
Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. (English) Zbl 1471.74079 Comput. Mech. 62, No. 6, 1443-1460 (2018). MSC: 74S99 74Q99 68T05 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 62, No. 6, 1443--1460 (2018; Zbl 1471.74079) Full Text: DOI
Lian, Yanping; Lin, Stephen; Yan, Wentao; Liu, Wing Kam; Wagner, Gregory J. A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing. (English) Zbl 1470.74072 Comput. Mech. 61, No. 5, 543-558 (2018). MSC: 74S99 74N15 68Q80 65Y05 PDFBibTeX XMLCite \textit{Y. Lian} et al., Comput. Mech. 61, No. 5, 543--558 (2018; Zbl 1470.74072) Full Text: DOI
Yan, Wentao; Lin, Stephen; Kafka, Orion L.; Lian, Yanping; Yu, Cheng; Liu, Zeliang; Yan, Jinhui; Wolff, Sarah; Wu, Hao; Ndip-Agbor, Ebot; Mozaffar, Mojtaba; Ehmann, Kornel; Cao, Jian; Wagner, Gregory J.; Liu, Wing Kam Data-driven multi-scale multi-physics models to derive process-structure-property relationships for additive manufacturing. (English) Zbl 1471.74081 Comput. Mech. 61, No. 5, 521-541 (2018). MSC: 74S99 74A99 PDFBibTeX XMLCite \textit{W. Yan} et al., Comput. Mech. 61, No. 5, 521--541 (2018; Zbl 1471.74081) Full Text: DOI
Liu, Wing Kam (ed.); Shin, Yung C. (ed.) Special issue on additive manufacturing: progress in modeling and simulation with experimental validations in additive manufacturing. (English) Zbl 1405.00023 Comput. Mech. 61, No. 5, 519-520 (2018). MSC: 00B15 74-06 PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) and \textit{Y. C. Shin} (ed.), Comput. Mech. 61, No. 5, 519--520 (2018; Zbl 1405.00023) Full Text: DOI
Luan, Shengzhi; Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Wagner, Gregory J.; Liu, Wing Kam An enriched finite element method to fractional advection-diffusion equation. (English) Zbl 1429.65171 Comput. Mech. 60, No. 2, 181-201 (2017). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{S. Luan} et al., Comput. Mech. 60, No. 2, 181--201 (2017; Zbl 1429.65171) Full Text: DOI
Tang, Shaoqiang; Ying, Yuping; Lian, Yanping; Lin, Stephen; Yang, Yibo; Wagner, Gregory J.; Liu, Wing Kam Differential operator multiplication method for fractional differential equations. (English) Zbl 1400.34013 Comput. Mech. 58, No. 5, 879-888 (2016). MSC: 34A08 65L12 34A25 74N15 65L05 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 58, No. 5, 879--888 (2016; Zbl 1400.34013) Full Text: DOI
Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. (English) Zbl 1398.74053 Comput. Mech. 58, No. 2, 213-234 (2016). MSC: 74E30 74S05 74Q15 74S30 74Q05 PDFBibTeX XMLCite \textit{O. Goury} et al., Comput. Mech. 58, No. 2, 213--234 (2016; Zbl 1398.74053) Full Text: DOI
Smith, Jacob; Xiong, Wei; Yan, Wentao; Lin, Stephen; Cheng, Puikei; Kafka, Orion L.; Wagner, Gregory J.; Cao, Jian; Liu, Wing Kam Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support. (English) Zbl 1382.74140 Comput. Mech. 57, No. 4, 583-610 (2016). MSC: 74S30 74-05 PDFBibTeX XMLCite \textit{J. Smith} et al., Comput. Mech. 57, No. 4, 583--610 (2016; Zbl 1382.74140) Full Text: DOI
Tavares, Rodrigo P.; Melro, António R.; Bessa, Miguel A.; Turon, Albert; Liu, Wing K.; Camanho, Pedro P. Mechanics of hybrid polymer composites: analytical and computational study. (English) Zbl 1382.74035 Comput. Mech. 57, No. 3, 405-421 (2016). MSC: 74E30 74S30 PDFBibTeX XMLCite \textit{R. P. Tavares} et al., Comput. Mech. 57, No. 3, 405--421 (2016; Zbl 1382.74035) Full Text: DOI Link
Smith, Jacob; Xiong, Wei; Cao, Jian; Liu, Wing Kam Thermodynamically consistent microstructure prediction of additively manufactured materials. (English) Zbl 1382.74126 Comput. Mech. 57, No. 3, 359-370 (2016). MSC: 74S05 74F05 PDFBibTeX XMLCite \textit{J. Smith} et al., Comput. Mech. 57, No. 3, 359--370 (2016; Zbl 1382.74126) Full Text: DOI
Liu, Wing Kam (ed.); Fish, Jacob (ed.); Chen, J. S. (ed.); Camanho, Pedro P. (ed.) Preface: Special issue of Computational Mechanics on “Connecting multiscale mechanics to complex material design”. (English) Zbl 1333.00053 Comput. Mech. 57, No. 3, 355-357 (2016). MSC: 00B25 74-06 PDFBibTeX XMLCite \textit{W. K. Liu} (ed.) et al., Comput. Mech. 57, No. 3, 355--357 (2016; Zbl 1333.00053) Full Text: DOI
Yan, Wentao; Smith, Jacob; Ge, Wenjun; Lin, Feng; Liu, Wing Kam Multiscale modeling of electron beam and substrate interaction: a new heat source model. (English) Zbl 1329.74077 Comput. Mech. 56, No. 2, 265-276 (2015). MSC: 74F05 74S05 PDFBibTeX XMLCite \textit{W. Yan} et al., Comput. Mech. 56, No. 2, 265--276 (2015; Zbl 1329.74077) Full Text: DOI
Tang, Shan; Yang, Yang; Peng, Xiang He; Liu, Wing Kam; Huang, Xiao Xu; Elkhodary, Khalil A semi-numerical algorithm for instability of compressible multilayered structures. (English) Zbl 1329.74289 Comput. Mech. 56, No. 1, 63-75 (2015). MSC: 74S05 74A50 74G60 65N30 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 56, No. 1, 63--75 (2015; Zbl 1329.74289) Full Text: DOI
Liu, Zeliang; Moore, John A.; Aldousari, Saad M.; Hedia, Hassan S.; Asiri, Saeed A.; Liu, Wing Kam A statistical descriptor based volume-integral micromechanics model of heterogeneous material with arbitrary inclusion shape. (English) Zbl 1329.74026 Comput. Mech. 55, No. 5, 963-981 (2015). MSC: 74A60 74A25 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Mech. 55, No. 5, 963--981 (2015; Zbl 1329.74026) Full Text: DOI
Zhao, Jifeng; Li, Ying; Liu, Wing Kam Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM. (English) Zbl 1334.74100 Comput. Mech. 55, No. 4, 659-672 (2015). MSC: 74S70 74S05 65M60 74E99 PDFBibTeX XMLCite \textit{J. Zhao} et al., Comput. Mech. 55, No. 4, 659--672 (2015; Zbl 1334.74100) Full Text: DOI
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam A meshfree unification: reproducing kernel peridynamics. (English) Zbl 1398.74452 Comput. Mech. 53, No. 6, 1251-1264 (2014). MSC: 74S30 65N30 76M25 74S05 65N35 PDFBibTeX XMLCite \textit{M. A. Bessa} et al., Comput. Mech. 53, No. 6, 1251--1264 (2014; Zbl 1398.74452) Full Text: DOI
Tang, Shan; Kopacz, Adrian M.; Chan O’Keeffe, Stephanie; Olson, Gregory B.; Liu, Wing Kam Concurrent multiresolution finite element: formulation and algorithmic aspects. (English) Zbl 1398.74410 Comput. Mech. 52, No. 6, 1265-1279 (2013). MSC: 74S05 74R20 74A60 74C99 74A20 74E05 PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Mech. 52, No. 6, 1265--1279 (2013; Zbl 1398.74410) Full Text: DOI
Kopacz, Adrian M.; Liu, Wing K. Immersed molecular electrokinetic finite element method. (English) Zbl 1308.74150 Comput. Mech. 52, No. 1, 193-199 (2013). MSC: 74S05 74F15 PDFBibTeX XMLCite \textit{A. M. Kopacz} and \textit{W. K. Liu}, Comput. Mech. 52, No. 1, 193--199 (2013; Zbl 1308.74150) Full Text: DOI
Qian, Dong; Phadke, Manas; Karpov, Eduard; Liu, Wing Kam A domain-reduction approach to bridging-scale simulation of one-dimensional nanostructures. (English) Zbl 1398.74049 Comput. Mech. 47, No. 1, 31-47 (2011). MSC: 74E15 74S05 74S30 74M25 PDFBibTeX XMLCite \textit{D. Qian} et al., Comput. Mech. 47, No. 1, 31--47 (2011; Zbl 1398.74049) Full Text: DOI Link
Kim, Ji Hoon; Liu, Wing Kam; Lee, Christopher Multi-scale solid oxide fuel cell materials modeling. (English) Zbl 1197.74027 Comput. Mech. 44, No. 5, 683-703 (2009). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74E30 74F05 74F25 74S05 74S20 PDFBibTeX XMLCite \textit{J. H. Kim} et al., Comput. Mech. 44, No. 5, 683--703 (2009; Zbl 1197.74027) Full Text: DOI
Vernerey, Franck; Liu, Wing Kam; Moran, Brian; Olson, Gregory Multi-length scale micromorphic process zone model. (English) Zbl 1166.74031 Comput. Mech. 44, No. 3, 433-445 (2009). MSC: 74R10 74M25 74S05 74G70 PDFBibTeX XMLCite \textit{F. Vernerey} et al., Comput. Mech. 44, No. 3, 433--445 (2009; Zbl 1166.74031) Full Text: DOI
Medyanik, Sergey N.; Liu, Wing Kam Multiple time scale method for atomistic simulations. (English) Zbl 1257.74178 Comput. Mech. 42, No. 4, 569-577 (2008). MSC: 74S30 74A25 74A55 PDFBibTeX XMLCite \textit{S. N. Medyanik} and \textit{W. K. Liu}, Comput. Mech. 42, No. 4, 569--577 (2008; Zbl 1257.74178) Full Text: DOI
To, Albert C.; Liu, Wing Kam; Kopacz, Adrian A finite temperature continuum theory based on interatomic potential in crystalline solids. (English) Zbl 1239.74005 Comput. Mech. 42, No. 4, 531-541 (2008). MSC: 74A25 74A15 74E15 PDFBibTeX XMLCite \textit{A. C. To} et al., Comput. Mech. 42, No. 4, 531--541 (2008; Zbl 1239.74005) Full Text: DOI
To, Albert C.; Liu, Wing Kam; Olson, Gregory B.; Belytschko, Ted; Chen, Wei; Shephard, Mark S.; Chung, Yip-Wah; Ghanem, Roger; Voorhees, Peter W.; Seidman, David N.; Wolverton, Chris; Chen, J. S.; Moran, Brian; Freeman, Arthur J.; Tian, Rong; Luo, Xiaojuan; Lautenschlager, Eric; Challoner, A. Dorian Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system. (English) Zbl 1421.74084 Comput. Mech. 42, No. 4, 485-510 (2008). MSC: 74M25 74S99 74-02 PDFBibTeX XMLCite \textit{A. C. To} et al., Comput. Mech. 42, No. 4, 485--510 (2008; Zbl 1421.74084) Full Text: DOI
Liu, Wing Kam; McVeigh, Cahal Predictive multiscale theory for design of heterogeneous materials. (English) Zbl 1304.74016 Comput. Mech. 42, No. 2, 147-170 (2008). MSC: 74E05 74A25 74Q05 74E15 PDFBibTeX XMLCite \textit{W. K. Liu} and \textit{C. McVeigh}, Comput. Mech. 42, No. 2, 147--170 (2008; Zbl 1304.74016) Full Text: DOI
Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho Meshfree point collocation method with intrinsic enrichment for interface problems. (English) Zbl 1161.74053 Comput. Mech. 40, No. 6, 1037-1052 (2007). MSC: 74S30 PDFBibTeX XMLCite \textit{D. W. Kim} et al., Comput. Mech. 40, No. 6, 1037--1052 (2007; Zbl 1161.74053) Full Text: DOI
Farrell, D. E.; Karpov, E. G.; Liu, W. K. Algorithms for bridging scale method parameters. (English) Zbl 1161.74052 Comput. Mech. 40, No. 6, 965-978 (2007). MSC: 74S30 74A25 PDFBibTeX XMLCite \textit{D. E. Farrell} et al., Comput. Mech. 40, No. 6, 965--978 (2007; Zbl 1161.74052) Full Text: DOI
Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang Mathematical foundations of the immersed finite element method. (English) Zbl 1178.74170 Comput. Mech. 39, No. 3, 211-222 (2007). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Comput. Mech. 39, No. 3, 211--222 (2007; Zbl 1178.74170) Full Text: DOI
Masud, A.; Tham, C. L.; Liu, W. K. A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells. (English) Zbl 0980.74066 Comput. Mech. 26, No. 1, 1-12 (2000). MSC: 74S05 74K25 74E30 PDFBibTeX XMLCite \textit{A. Masud} et al., Comput. Mech. 26, No. 1, 1--12 (2000; Zbl 0980.74066) Full Text: DOI
Wagner, G. J.; Liu, W. K. Turbulence simulation and multiple scale subgrid models. (English) Zbl 0972.76050 Comput. Mech. 25, No. 2-3, 117-136 (2000). MSC: 76F65 76F60 PDFBibTeX XMLCite \textit{G. J. Wagner} and \textit{W. K. Liu}, Comput. Mech. 25, No. 2--3, 117--136 (2000; Zbl 0972.76050) Full Text: DOI
Li, S.; Hao, W.; Liu, W. K. Numerical simulations of large deformation of thin shell structures using meshfree methods. (English) Zbl 0978.74087 Comput. Mech. 25, No. 2-3, 102-116 (2000). MSC: 74S30 74K25 PDFBibTeX XMLCite \textit{S. Li} et al., Comput. Mech. 25, No. 2--3, 102--116 (2000; Zbl 0978.74087) Full Text: DOI
Li, S.; Liu, W. K. Synchronized reproducing kernel interpolant via multiple wavelet expansion. (English) Zbl 0912.76057 Comput. Mech. 21, No. 1, 28-47 (1998). MSC: 76M25 76D07 76U05 PDFBibTeX XMLCite \textit{S. Li} and \textit{W. K. Liu}, Comput. Mech. 21, No. 1, 28--47 (1998; Zbl 0912.76057) Full Text: DOI
Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T. Advances in multiple scale kernel particle methods. (English) Zbl 0868.73091 Comput. Mech. 18, No. 2, 73-111 (1996). MSC: 74S99 76M99 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Comput. Mech. 18, No. 2, 73--111 (1996; Zbl 0868.73091) Full Text: DOI
Gosz, J.; Liu, W. K. Admissible approximations for essential boundary conditions in the reproducing kernel particle method. (English) Zbl 0889.73078 Comput. Mech. 19, No. 2, 120-135 (1996). MSC: 74S30 PDFBibTeX XMLCite \textit{J. Gosz} and \textit{W. K. Liu}, Comput. Mech. 19, No. 2, 120--135 (1996; Zbl 0889.73078) Full Text: DOI