Agrawal, Vinamra; Runnels, Brandon Robust, strong form mechanics on an adaptive structured grid: efficiently solving variable-geometry near-singular problems with diffuse interfaces. (English) Zbl 07773258 Comput. Mech. 72, No. 5, 1009-1027 (2023). MSC: 74S99 74C05 74R10 74P15 PDFBibTeX XMLCite \textit{V. Agrawal} and \textit{B. Runnels}, Comput. Mech. 72, No. 5, 1009--1027 (2023; Zbl 07773258) Full Text: DOI arXiv
Pandolfi, A.; Stainier, L.; Ortiz, M. An optimal-transport finite-particle method for mass diffusion. (English) Zbl 07761344 Comput. Methods Appl. Mech. Eng. 416, Article ID 116385, 17 p. (2023). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{A. Pandolfi} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116385, 17 p. (2023; Zbl 07761344) Full Text: DOI arXiv
Wang, Junfeng; Ren, Xiaodan A consistent projection integration for Galerkin meshfree methods. (English) Zbl 07725687 Comput. Methods Appl. Mech. Eng. 414, Article ID 116143, 24 p. (2023). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Wang} and \textit{X. Ren}, Comput. Methods Appl. Mech. Eng. 414, Article ID 116143, 24 p. (2023; Zbl 07725687) Full Text: DOI
Molinos, Miguel; Chandra, Bodhinanda; Stickle, Miguel M.; Soga, Kenichi On the derivation of a component-free scheme for Lagrangian fluid-structure interaction problems. (English) Zbl 1522.74112 Acta Mech. 234, No. 5, 1777-1809 (2023). MSC: 74S99 74F10 PDFBibTeX XMLCite \textit{M. Molinos} et al., Acta Mech. 234, No. 5, 1777--1809 (2023; Zbl 1522.74112) Full Text: DOI
Stickle, Miguel Martín; Molinos, Miguel; Navas, Pedro; Yagüe, Ángel; Manzanal, Diego; Moussavi, Saeid; Pastor, Manuel A component-free Lagrangian finite element formulation for large strain elastodynamics. (English) Zbl 07492688 Comput. Mech. 69, No. 3, 639-660 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{M. M. Stickle} et al., Comput. Mech. 69, No. 3, 639--660 (2022; Zbl 07492688) Full Text: DOI
Hillman, Michael; Lin, Kuan-Chung Nodally integrated thermomechanical RKPM. II: Generalized thermoelasticity and hyperbolic finite-strain thermoplasticity. (English) Zbl 1478.74085 Comput. Mech. 68, No. 4, 821-844 (2021). MSC: 74S99 74F05 74B05 74C15 74J99 PDFBibTeX XMLCite \textit{M. Hillman} and \textit{K.-C. Lin}, Comput. Mech. 68, No. 4, 821--844 (2021; Zbl 1478.74085) Full Text: DOI
Cihan, Mertcan; Hudobivnik, Blaž; Aldakheel, Fadi; Wriggers, Peter 3D mixed virtual element formulation for dynamic elasto-plastic analysis. (English) Zbl 1477.74117 Comput. Mech. 68, No. 3, 581-598 (2021). MSC: 74S99 74C15 PDFBibTeX XMLCite \textit{M. Cihan} et al., Comput. Mech. 68, No. 3, 581--598 (2021; Zbl 1477.74117) Full Text: DOI
Molinos, Miguel; Navas, Pedro; Pastor, Manuel; Stickle, Miguel Martín On the dynamic assessment of the local-maximum entropy material point method through an explicit predictor-corrector scheme. (English) Zbl 1506.74498 Comput. Methods Appl. Mech. Eng. 374, Article ID 113512, 25 p. (2021). MSC: 74S99 65M99 74J40 PDFBibTeX XMLCite \textit{M. Molinos} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113512, 25 p. (2021; Zbl 1506.74498) Full Text: DOI
Wessels, Henning; Weißenfels, Christian; Wriggers, Peter The neural particle method - an updated Lagrangian physics informed neural network for computational fluid dynamics. (English) Zbl 1506.76136 Comput. Methods Appl. Mech. Eng. 368, Article ID 113127, 15 p. (2020). MSC: 76M28 76Bxx PDFBibTeX XMLCite \textit{H. Wessels} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113127, 15 p. (2020; Zbl 1506.76136) Full Text: DOI arXiv
Nguyen, Vinh Phu; de Vaucorbeil, Alban; Nguyen-Thanh, Chi; Mandal, Tushar Kandal A generalized particle in cell method for explicit solid dynamics. (English) Zbl 1506.74424 Comput. Methods Appl. Mech. Eng. 371, Article ID 113308, 22 p. (2020). MSC: 74S05 65N30 74B05 74C05 PDFBibTeX XMLCite \textit{V. P. Nguyen} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113308, 22 p. (2020; Zbl 1506.74424) Full Text: DOI
Francomano, Elisa; Paliaga, Marta A normalized iterative smoothed particle hydrodynamics method. (English) Zbl 1510.76123 Math. Comput. Simul. 176, 171-180 (2020). MSC: 76M28 65N75 PDFBibTeX XMLCite \textit{E. Francomano} and \textit{M. Paliaga}, Math. Comput. Simul. 176, 171--180 (2020; Zbl 1510.76123) Full Text: DOI
Behzadinasab, Masoud; Foster, John T. A semi-Lagrangian constitutive correspondence framework for peridynamics. (English) Zbl 1441.70014 J. Mech. Phys. Solids 137, Article ID 103862, 23 p. (2020). MSC: 70S05 PDFBibTeX XMLCite \textit{M. Behzadinasab} and \textit{J. T. Foster}, J. Mech. Phys. Solids 137, Article ID 103862, 23 p. (2020; Zbl 1441.70014) Full Text: DOI
Wang, Hao; Liao, Huming; Fan, Zongyue; Fan, Jiang; Stainier, Laurent; Li, Xiaobai; Li, Bo The hot optimal transportation meshfree (HOTM) method for materials under extreme dynamic thermomechanical conditions. (English) Zbl 1442.74252 Comput. Methods Appl. Mech. Eng. 364, Article ID 112958, 29 p. (2020). MSC: 74S60 65M70 74F05 80M22 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112958, 29 p. (2020; Zbl 1442.74252) Full Text: DOI
Wang, Dongdong; Wu, Junchao An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature. (English) Zbl 1441.74278 Comput. Methods Appl. Mech. Eng. 349, 628-672 (2019). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{D. Wang} and \textit{J. Wu}, Comput. Methods Appl. Mech. Eng. 349, 628--672 (2019; Zbl 1441.74278) Full Text: DOI
Francomano, Elisa; Paliaga, Marta The smoothed particle hydrodynamics method via residual iteration. (English) Zbl 1441.76088 Comput. Methods Appl. Mech. Eng. 352, 237-245 (2019). MSC: 76M28 65M75 PDFBibTeX XMLCite \textit{E. Francomano} and \textit{M. Paliaga}, Comput. Methods Appl. Mech. Eng. 352, 237--245 (2019; Zbl 1441.76088) Full Text: DOI Link
Jiang, Hao; Jiang, Fan; Hu, Dianyin; Wang, Rongqiao; Lu, Jian; Li, Bo Numerical modeling of compressive failure mechanisms in ceramic materials at high strain rates. (English) Zbl 1440.74256 Comput. Methods Appl. Mech. Eng. 347, 806-826 (2019). MSC: 74M25 74S05 PDFBibTeX XMLCite \textit{H. Jiang} et al., Comput. Methods Appl. Mech. Eng. 347, 806--826 (2019; Zbl 1440.74256) Full Text: DOI
Kumar, Siddhant; Danas, Kostas; Kochmann, Dennis M. Enhanced local maximum-entropy approximation for stable meshfree simulations. (English) Zbl 1440.65216 Comput. Methods Appl. Mech. Eng. 344, 858-886 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{S. Kumar} et al., Comput. Methods Appl. Mech. Eng. 344, 858--886 (2019; Zbl 1440.65216) Full Text: DOI Link
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon; Zhu, HeHua Dual-support smoothed particle hydrodynamics in solid: variational principle and implicit formulation. (English) Zbl 1464.76157 Eng. Anal. Bound. Elem. 108, 15-29 (2019). MSC: 76M28 65C35 PDFBibTeX XMLCite \textit{H. Ren} et al., Eng. Anal. Bound. Elem. 108, 15--29 (2019; Zbl 1464.76157) Full Text: DOI arXiv
Wessels, H.; Bode, T.; Weißenfels, C.; Wriggers, P.; Zohdi, T. I. Investigation of heat source modeling for selective laser melting. (English) Zbl 1468.74015 Comput. Mech. 63, No. 5, 949-970 (2019). MSC: 74F05 74P10 80A22 80A21 78A60 PDFBibTeX XMLCite \textit{H. Wessels} et al., Comput. Mech. 63, No. 5, 949--970 (2019; Zbl 1468.74015) Full Text: DOI
Wang, Dongdong; Wang, Jiarui; Wu, Junchao Superconvergent gradient smoothing meshfree collocation method. (English) Zbl 1440.65255 Comput. Methods Appl. Mech. Eng. 340, 728-766 (2018). MSC: 65N35 PDFBibTeX XMLCite \textit{D. Wang} et al., Comput. Methods Appl. Mech. Eng. 340, 728--766 (2018; Zbl 1440.65255) Full Text: DOI
Wessels, H.; Weißenfels, C.; Wriggers, P. Metal particle fusion analysis for additive manufacturing using the stabilized optimal transportation meshfree method. (English) Zbl 1440.74146 Comput. Methods Appl. Mech. Eng. 339, 91-114 (2018). MSC: 74F25 80A22 PDFBibTeX XMLCite \textit{H. Wessels} et al., Comput. Methods Appl. Mech. Eng. 339, 91--114 (2018; Zbl 1440.74146) Full Text: DOI
Fan, Jiang; Liao, Huming; Ke, Renjie; Kucukal, Erdem; Gurkan, Umut A.; Shen, Xiuli; Lu, Jian; Li, Bo A monolithic Lagrangian meshfree scheme for fluid-structure interaction problems within the OTM framework. (English) Zbl 1440.74124 Comput. Methods Appl. Mech. Eng. 337, 198-219 (2018). MSC: 74F10 74S05 65M60 76M10 PDFBibTeX XMLCite \textit{J. Fan} et al., Comput. Methods Appl. Mech. Eng. 337, 198--219 (2018; Zbl 1440.74124) Full Text: DOI
Weißenfels, C.; Wriggers, P. Stabilization algorithm for the optimal transportation meshfree approximation scheme. (English) Zbl 1439.65123 Comput. Methods Appl. Mech. Eng. 329, 421-443 (2018). MSC: 65M60 PDFBibTeX XMLCite \textit{C. Weißenfels} and \textit{P. Wriggers}, Comput. Methods Appl. Mech. Eng. 329, 421--443 (2018; Zbl 1439.65123) Full Text: DOI
Francomano, E.; Paliaga, M. Highlighting numerical insights of an efficient SPH method. (English) Zbl 1428.76154 Appl. Math. Comput. 339, 899-915 (2018). MSC: 76M28 65M75 PDFBibTeX XMLCite \textit{E. Francomano} and \textit{M. Paliaga}, Appl. Math. Comput. 339, 899--915 (2018; Zbl 1428.76154) Full Text: DOI Link
Navas, Pedro; Sanavia, Lorenzo; López-Querol, Susana; Yu, Rena C. \(u\)-\(w\) formulation for dynamic problems in large deformation regime solved through an implicit meshfree scheme. (English) Zbl 1459.76150 Comput. Mech. 62, No. 4, 745-760 (2018). MSC: 76S05 74F10 74C05 65M70 PDFBibTeX XMLCite \textit{P. Navas} et al., Comput. Mech. 62, No. 4, 745--760 (2018; Zbl 1459.76150) Full Text: DOI
Belaasilia, Youssef; Braikat, Bouazza; Jamal, Mohammad High order mesh-free method for frictional contact. (English) Zbl 1403.74293 Eng. Anal. Bound. Elem. 94, 103-112 (2018). MSC: 74S30 65N35 74M10 PDFBibTeX XMLCite \textit{Y. Belaasilia} et al., Eng. Anal. Bound. Elem. 94, 103--112 (2018; Zbl 1403.74293) Full Text: DOI
Millán, Daniel; Sukumar, N.; Arroyo, Marino Cell-based maximum-entropy approximants. (English) Zbl 1425.65172 Comput. Methods Appl. Mech. Eng. 284, 712-731 (2015). MSC: 65N30 65N50 74B05 PDFBibTeX XMLCite \textit{D. Millán} et al., Comput. Methods Appl. Mech. Eng. 284, 712--731 (2015; Zbl 1425.65172) Full Text: DOI
Yashiro, Shigeki; Okabe, Tomonaga Smoothed particle hydrodynamics in a generalized coordinate system with a finite-deformation constitutive model. (English) Zbl 1352.74113 Int. J. Numer. Methods Eng. 103, No. 11, 781-797 (2015). MSC: 74F10 74M20 74S30 76M28 65M75 PDFBibTeX XMLCite \textit{S. Yashiro} and \textit{T. Okabe}, Int. J. Numer. Methods Eng. 103, No. 11, 781--797 (2015; Zbl 1352.74113) Full Text: DOI Link
Ndanou, S.; Favrie, N.; Gavrilyuk, S. Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation. (English) Zbl 1349.74377 J. Comput. Phys. 295, 523-555 (2015). MSC: 74S30 65M25 74A45 PDFBibTeX XMLCite \textit{S. Ndanou} et al., J. Comput. Phys. 295, 523--555 (2015; Zbl 1349.74377) Full Text: DOI
Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M. A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. (English) Zbl 1349.74034 J. Mech. Phys. Solids 74, 175-195 (2015). MSC: 74A45 74M25 PDFBibTeX XMLCite \textit{S. Heyden} et al., J. Mech. Phys. Solids 74, 175--195 (2015; Zbl 1349.74034) Full Text: DOI Link
Saumier, Louis-Philippe; Khouider, Boualem; Agueh, Martial Optimal transport for particle image velocimetry: real data and postprocessing algorithms. (English) Zbl 1330.76111 SIAM J. Appl. Math. 75, No. 6, 2495-2514 (2015). MSC: 76M27 35Q35 PDFBibTeX XMLCite \textit{L.-P. Saumier} et al., SIAM J. Appl. Math. 75, No. 6, 2495--2514 (2015; Zbl 1330.76111) Full Text: DOI Link
Schmidt, Bernd On the infinite particle limit in Lagrangian dynamics and convergence of optimal transportation meshfree methods. (English) Zbl 1370.37121 Multiscale Model. Simul. 12, No. 1, 265-289 (2014). MSC: 37J50 49Q20 65P10 70F45 PDFBibTeX XMLCite \textit{B. Schmidt}, Multiscale Model. Simul. 12, No. 1, 265--289 (2014; Zbl 1370.37121) Full Text: DOI arXiv
Li, B.; Stalzer, M.; Ortiz, M. A massively parallel implementation of the optimal transportation meshfree method for explicit solid dynamics. (English) Zbl 1325.74166 Int. J. Numer. Methods Eng. 100, No. 1, 40-61 (2014). MSC: 74S30 65Y05 74L10 PDFBibTeX XMLCite \textit{B. Li} et al., Int. J. Numer. Methods Eng. 100, No. 1, 40--61 (2014; Zbl 1325.74166) Full Text: DOI
Greco, F.; Sukumar, N. Derivatives of maximum-entropy basis functions on the boundary: theory and computations. (English) Zbl 1352.65207 Int. J. Numer. Methods Eng. 94, No. 12, 1123-1149 (2013). MSC: 65L60 PDFBibTeX XMLCite \textit{F. Greco} and \textit{N. Sukumar}, Int. J. Numer. Methods Eng. 94, No. 12, 1123--1149 (2013; Zbl 1352.65207) Full Text: DOI
Rosolen, A.; Millán, D.; Arroyo, M. Second-order convex maximum entropy approximants with applications to high-order PDE. (English) Zbl 1352.74177 Int. J. Numer. Methods Eng. 94, No. 2, 150-182 (2013). MSC: 74K25 74G15 74H45 74S05 65N30 PDFBibTeX XMLCite \textit{A. Rosolen} et al., Int. J. Numer. Methods Eng. 94, No. 2, 150--182 (2013; Zbl 1352.74177) Full Text: DOI Link
Reina, Celia; Li, Bo; Weinberg, Kerstin; Ortiz, Michael A micromechanical model of distributed damage due to void growth in general materials and under general deformation histories. (English) Zbl 1352.74302 Int. J. Numer. Methods Eng. 93, No. 6, 575-611 (2013). MSC: 74R10 65N30 74M25 PDFBibTeX XMLCite \textit{C. Reina} et al., Int. J. Numer. Methods Eng. 93, No. 6, 575--611 (2013; Zbl 1352.74302) Full Text: DOI
Peco, C.; Rosolen, A.; Arroyo, M. An adaptive meshfree method for phase-field models of biomembranes. II: A Lagrangian approach for membranes in viscous fluids. (English) Zbl 06360931 J. Comput. Phys. 249, 320-336 (2013). MSC: 65-XX 74-XX 76-XX PDFBibTeX XMLCite \textit{C. Peco} et al., J. Comput. Phys. 249, 320--336 (2013; Zbl 06360931) Full Text: DOI
Tupek, M. R.; Rimoli, J. J.; Radovitzky, R. An approach for incorporating classical continuum damage models in state-based peridynamics. (English) Zbl 1286.74022 Comput. Methods Appl. Mech. Eng. 263, 20-26 (2013). MSC: 74B20 74R10 74A45 74C10 PDFBibTeX XMLCite \textit{M. R. Tupek} et al., Comput. Methods Appl. Mech. Eng. 263, 20--26 (2013; Zbl 1286.74022) Full Text: DOI Link
Bompadre, Agustín; Perotti, Luigi E.; Cyron, Christian J.; Ortiz, Michael HOLMES: convergent meshfree approximation schemes of arbitrary order and smoothness. (English) Zbl 1267.65012 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VI. Selected papers of the sixth international workshop, Bonn, Germany, October 4–6, 2011. Berlin: Springer (ISBN 978-3-642-32978-4/hbk; 978-3-642-32979-1/ebook). Lecture Notes in Computational Science and Engineering 89, 111-126 (2013). MSC: 65D05 PDFBibTeX XMLCite \textit{A. Bompadre} et al., Lect. Notes Comput. Sci. Eng. 89, 111--126 (2013; Zbl 1267.65012) Full Text: DOI
Bompadre, Agustín; Perotti, L. E.; Cyron, Christian J.; Ortiz, Michael Convergent meshfree approximation schemes of arbitrary order and smoothness. (English) Zbl 1253.65191 Comput. Methods Appl. Mech. Eng. 221-222, 83-103 (2012). MSC: 65N35 PDFBibTeX XMLCite \textit{A. Bompadre} et al., Comput. Methods Appl. Mech. Eng. 221--222, 83--103 (2012; Zbl 1253.65191) Full Text: DOI
Fraternali, F.; Lorenz, C. D.; Marcelli, G. On the estimation of the curvatures and bending rigidity of membrane networks via a local maximum-entropy approach. (English) Zbl 1238.92008 J. Comput. Phys. 231, No. 2, 528-540 (2012). MSC: 92C40 92C05 94A17 65C20 PDFBibTeX XMLCite \textit{F. Fraternali} et al., J. Comput. Phys. 231, No. 2, 528--540 (2012; Zbl 1238.92008) Full Text: DOI arXiv