Xu, Bing-Bing; Wriggers, Peter 3D stabilization-free virtual element method for linear elastic analysis. (English) Zbl 07824906 Comput. Methods Appl. Mech. Eng. 421, Article ID 116826, 19 p. (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{B.-B. Xu} and \textit{P. Wriggers}, Comput. Methods Appl. Mech. Eng. 421, Article ID 116826, 19 p. (2024; Zbl 07824906) Full Text: DOI
Mishra, A.; Carrara, P.; Marfia, S.; Sacco, E.; De Lorenzis, L. Enhanced transformation field analysis for reduced-order modeling of problems with cohesive interfaces. (English) Zbl 07824860 Comput. Methods Appl. Mech. Eng. 421, Article ID 116755, 28 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. Mishra} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116755, 28 p. (2024; Zbl 07824860) Full Text: DOI
Borio, Andrea; Lovadina, Carlo; Marcon, Francesca; Visinoni, Michele A lowest order stabilization-free mixed virtual element method. (English) Zbl 07824650 Comput. Math. Appl. 160, 161-170 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. Borio} et al., Comput. Math. Appl. 160, 161--170 (2024; Zbl 07824650) Full Text: DOI arXiv
van Huyssteen, Daniel; Rivarola, Felipe Lopez; Etse, Guillermo; Steinmann, Paul On adaptive mesh coarsening procedures for the virtual element method for two-dimensional elastic problems. (English) Zbl 07822153 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116507, 24 p. (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{D. van Huyssteen} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116507, 24 p. (2024; Zbl 07822153) Full Text: DOI arXiv
Visinoni, Michele A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems. (English) Zbl 07801615 Comput. Math. Appl. 155, 97-109 (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Visinoni}, Comput. Math. Appl. 155, 97--109 (2024; Zbl 07801615) Full Text: DOI arXiv
Falletta, Silvia; Ferrari, Matteo; Scuderi, Letizia A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials. (English) Zbl 07797174 J. Comput. Appl. Math. 441, Article ID 115625, 20 p. (2024). MSC: 65N30 65N12 65N15 74S05 PDFBibTeX XMLCite \textit{S. Falletta} et al., J. Comput. Appl. Math. 441, Article ID 115625, 20 p. (2024; Zbl 07797174) Full Text: DOI arXiv
Xu, Bing-Bing; Peng, Fan; Wriggers, Peter Stabilization-free virtual element method for finite strain applications. (English) Zbl 07805013 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116555, 19 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{B.-B. Xu} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116555, 19 p. (2023; Zbl 07805013) Full Text: DOI
Liu, Xin; Chen, Zhangxin A virtual element method for overcoming locking phenomena in Biot’s consolidation model. (English) Zbl 07787603 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3007-3027 (2023). MSC: 65M60 65M06 65N30 65N12 65N15 74F10 74L10 74B10 76S05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Z. Chen}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3007--3027 (2023; Zbl 07787603) Full Text: DOI
Ortiz-Bernardin, A.; Silva-Valenzuela, R.; Salinas-Fernández, S.; Hitschfeld-Kahler, N.; Luza, S.; Rebolledo, B. A node-based uniform strain virtual element method for compressible and nearly incompressible elasticity. (English) Zbl 07769139 Int. J. Numer. Methods Eng. 124, No. 8, 1818-1855 (2023). MSC: 65Nxx 74Sxx 74Bxx PDFBibTeX XMLCite \textit{A. Ortiz-Bernardin} et al., Int. J. Numer. Methods Eng. 124, No. 8, 1818--1855 (2023; Zbl 07769139) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro The virtual element method. (English) Zbl 07736655 Acta Numerica 32, 123-202 (2023). MSC: 65-XX 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Acta Numerica 32, 123--202 (2023; Zbl 07736655) Full Text: DOI
Su, Cancan; Lu, Dechun; Zhou, Xin; Wang, Guosheng; Zhuang, Xiaoying; Du, Xiuli An implicit stress update algorithm for the plastic nonlocal damage model of concrete. (English) Zbl 07725720 Comput. Methods Appl. Mech. Eng. 414, Article ID 116189, 35 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{C. Su} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116189, 35 p. (2023; Zbl 07725720) Full Text: DOI
Xiao, Wenqiang; Ling, Min Virtual element method for a history-dependent variational-hemivariational inequality in contact problems. (English) Zbl 07722602 J. Sci. Comput. 96, No. 3, Paper No. 82, 21 p. (2023). MSC: 65Nxx 74Mxx 49Jxx PDFBibTeX XMLCite \textit{W. Xiao} and \textit{M. Ling}, J. Sci. Comput. 96, No. 3, Paper No. 82, 21 p. (2023; Zbl 07722602) Full Text: DOI
Xiao, Wenqiang; Ling, Min The virtual element method for general variational-hemivariational inequalities with applications to contact mechanics. (English) Zbl 07711010 J. Comput. Appl. Math. 428, Article ID 115152, 14 p. (2023). MSC: 65Nxx 74Mxx 74Sxx PDFBibTeX XMLCite \textit{W. Xiao} and \textit{M. Ling}, J. Comput. Appl. Math. 428, Article ID 115152, 14 p. (2023; Zbl 07711010) Full Text: DOI
Amigo, Danilo; Lepe, Felipe; Rivera, Gonzalo A virtual element method for the elasticity problem allowing small edges. (English) Zbl 1519.35092 Calcolo 60, No. 2, Paper No. 28, 34 p. (2023). MSC: 35J25 65N30 74B05 PDFBibTeX XMLCite \textit{D. Amigo} et al., Calcolo 60, No. 2, Paper No. 28, 34 p. (2023; Zbl 1519.35092) Full Text: DOI arXiv
Desiderio, Luca; Falletta, Silvia; Ferrari, Matteo; Scuderi, Letizia CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries. (English) Zbl 1514.65185 Comput. Methods Appl. Math. 23, No. 2, 353-372 (2023). MSC: 65N38 65N99 65N12 65N15 PDFBibTeX XMLCite \textit{L. Desiderio} et al., Comput. Methods Appl. Math. 23, No. 2, 353--372 (2023; Zbl 1514.65185) Full Text: DOI
Wang, Ruishu; Wang, Zhuoran; Liu, Jiangguo Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes. (English) Zbl 1516.65142 J. Sci. Comput. 95, No. 1, Paper No. 20, 22 p. (2023). MSC: 65N30 65N12 65Y99 74B05 74G15 74S05 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Sci. Comput. 95, No. 1, Paper No. 20, 22 p. (2023; Zbl 1516.65142) Full Text: DOI
Feng, Fang; Huang, Jianguo The virtual element method for a nonhomogeneous double obstacle problem of Kirchhoff plate. (English) Zbl 07698242 Nonlinear Anal., Real World Appl. 71, Article ID 103831, 16 p. (2023). MSC: 65Nxx 74Sxx 74Kxx PDFBibTeX XMLCite \textit{F. Feng} and \textit{J. Huang}, Nonlinear Anal., Real World Appl. 71, Article ID 103831, 16 p. (2023; Zbl 07698242) Full Text: DOI
Chen, Alvin; Sukumar, N. Stabilization-free virtual element method for plane elasticity. (English) Zbl 07692008 Comput. Math. Appl. 138, 88-105 (2023). MSC: 65N30 74S05 65N12 35J25 65D30 PDFBibTeX XMLCite \textit{A. Chen} and \textit{N. Sukumar}, Comput. Math. Appl. 138, 88--105 (2023; Zbl 07692008) Full Text: DOI arXiv
Xiao, Wenqiang; Ling, Min A priori error estimate of virtual element method for a quasivariational-hemivariational inequality. (English) Zbl 1512.74080 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107222, 13 p. (2023). MSC: 74M15 74M10 74G65 74G22 74G30 74S99 65N15 PDFBibTeX XMLCite \textit{W. Xiao} and \textit{M. Ling}, Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107222, 13 p. (2023; Zbl 1512.74080) Full Text: DOI
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M. Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. (English) Zbl 1512.65258 SIAM J. Numer. Anal. 61, No. 2, 457-494 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 65N12 65N85 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 61, No. 2, 457--494 (2023; Zbl 1512.65258) Full Text: DOI arXiv
Chen, Alvin; Sukumar, N. Stabilization-free serendipity virtual element method for plane elasticity. (English) Zbl 07644857 Comput. Methods Appl. Mech. Eng. 404, Article ID 115784, 19 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{A. Chen} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 404, Article ID 115784, 19 p. (2023; Zbl 07644857) Full Text: DOI arXiv
Wang, Zhifeng; Liu, Wei; Huang, Jian Modeling and numerical analysis of compressible Darcy-Brinkman fluid flow in fractured media with finite volume method on non-matching grids. (English) Zbl 1497.65209 J. Comput. Appl. Math. 420, Article ID 114774, 20 p. (2023). MSC: 65N08 65N12 65N15 65N30 76S05 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Appl. Math. 420, Article ID 114774, 20 p. (2023; Zbl 1497.65209) Full Text: DOI
Sukumar, N.; Tupek, Michael R. Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations. (English) Zbl 07769306 Int. J. Numer. Methods Eng. 123, No. 19, 4702-4725 (2022). MSC: 65M60 65N50 74B05 74J05 74S05 35Q74 PDFBibTeX XMLCite \textit{N. Sukumar} and \textit{M. R. Tupek}, Int. J. Numer. Methods Eng. 123, No. 19, 4702--4725 (2022; Zbl 07769306) Full Text: DOI arXiv
Wriggers, Peter; Aldakheel, Fadi; Hudobivnik, Blaž Virtual element methods for engineering applications. (English) Zbl 1503.65251 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 557-605 (2022). MSC: 65M60 65N30 74M25 74M15 74R10 74S05 35Q74 PDFBibTeX XMLCite \textit{P. Wriggers} et al., SEMA SIMAI Springer Ser. 31, 557--605 (2022; Zbl 1503.65251) Full Text: DOI
Artioli, Edoardo; Marfia, Sonia; Sacco, Elio The virtual element method in nonlinear and fracture solid mechanics. (English) Zbl 1503.65217 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 453-498 (2022). MSC: 65M60 65N30 74A40 74R10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{E. Artioli} et al., SEMA SIMAI Springer Ser. 31, 453--498 (2022; Zbl 1503.65217) Full Text: DOI
Artioli, Edoardo; de Miranda, Stefano; Lovadina, Carlo; Patruno, Luca; Visinoni, Michele Some virtual element methods for infinitesimal elasticity problems. (English) Zbl 1503.65285 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 137-183 (2022). MSC: 65N30 65N12 35A15 74B10 74S05 35Q74 PDFBibTeX XMLCite \textit{E. Artioli} et al., SEMA SIMAI Springer Ser. 31, 137--183 (2022; Zbl 1503.65285) Full Text: DOI
Dassi, Franco; Velásquez, Iván Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems. (English) Zbl 1524.65785 Comput. Math. Appl. 121, 85-101 (2022). MSC: 65N30 65N25 65N15 65N12 74S05 31A30 74H45 35A15 65N35 PDFBibTeX XMLCite \textit{F. Dassi} and \textit{I. Velásquez}, Comput. Math. Appl. 121, 85--101 (2022; Zbl 1524.65785) Full Text: DOI
Desiderio, Luca; Falletta, Silvia; Ferrari, Matteo; Scuderi, Letizia CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems. (English) Zbl 07568988 J. Sci. Comput. 92, No. 3, Paper No. 96, 25 p. (2022). MSC: 65-XX 35A01 65L10 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{L. Desiderio} et al., J. Sci. Comput. 92, No. 3, Paper No. 96, 25 p. (2022; Zbl 07568988) Full Text: DOI arXiv
Beirão da Veiga, L.; Vacca, G. Sharper error estimates for virtual elements and a bubble-enriched version. (English) Zbl 1498.65195 SIAM J. Numer. Anal. 60, No. 4, 1853-1878 (2022). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N50 65N12 65N15 65D05 05B45 35J05 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{G. Vacca}, SIAM J. Numer. Anal. 60, No. 4, 1853--1878 (2022; Zbl 1498.65195) Full Text: DOI arXiv
van Huyssteen, Daniel; Rivarola, Felipe Lopez; Etse, Guillermo; Steinmann, Paul On mesh refinement procedures for the virtual element method for two-dimensional elastic problems. (English) Zbl 1507.74517 Comput. Methods Appl. Mech. Eng. 393, Article ID 114849, 35 p. (2022). MSC: 74S05 65N50 65N30 74B05 PDFBibTeX XMLCite \textit{D. van Huyssteen} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114849, 35 p. (2022; Zbl 1507.74517) Full Text: DOI
van Huyssteen, Daniel; Reddy, B. D. The incorporation of mesh quality in the stabilization of virtual element methods for nonlinear elasticity. (English) Zbl 1507.74516 Comput. Methods Appl. Mech. Eng. 392, Article ID 114720, 21 p. (2022). MSC: 74S05 65N30 74B05 74B20 PDFBibTeX XMLCite \textit{D. van Huyssteen} and \textit{B. D. Reddy}, Comput. Methods Appl. Mech. Eng. 392, Article ID 114720, 21 p. (2022; Zbl 1507.74516) Full Text: DOI
Liu, Xin; Nie, Yufeng Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free. (English) Zbl 1493.65217 Numer. Algorithms 90, No. 2, 477-506 (2022). MSC: 65N30 65N15 76D07 76M10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Nie}, Numer. Algorithms 90, No. 2, 477--506 (2022; Zbl 1493.65217) Full Text: DOI
Berrone, Stefano; Busetto, Martina A virtual element method for the two-phase flow of immiscible fluids in porous media. (English) Zbl 1484.65200 Comput. Geosci. 26, No. 1, 195-216 (2022). MSC: 65M50 65M60 76S05 76T99 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{M. Busetto}, Comput. Geosci. 26, No. 1, 195--216 (2022; Zbl 1484.65200) Full Text: DOI
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N. Extended virtual element method for two-dimensional linear elastic fracture. (English) Zbl 1507.74452 Comput. Methods Appl. Mech. Eng. 390, Article ID 114352, 32 p. (2022). MSC: 74S05 65N30 74A45 74B05 PDFBibTeX XMLCite \textit{E. Benvenuti} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114352, 32 p. (2022; Zbl 1507.74452) Full Text: DOI arXiv
Dassi, Franco; Lovadina, Carlo; Visinoni, Michele Hybridization of the virtual element method for linear elasticity problems. (English) Zbl 1480.65331 Math. Models Methods Appl. Sci. 31, No. 14, 2979-3008 (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{F. Dassi} et al., Math. Models Methods Appl. Sci. 31, No. 14, 2979--3008 (2021; Zbl 1480.65331) Full Text: DOI arXiv
Feng, Fang; Han, Weimin; Huang, Jianguo The virtual element method for an obstacle problem of a Kirchhoff-Love plate. (English) Zbl 1493.65198 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106008, 18 p. (2021). MSC: 65N30 65N15 74K20 74B10 35A23 35J30 74S05 35Q74 PDFBibTeX XMLCite \textit{F. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106008, 18 p. (2021; Zbl 1493.65198) Full Text: DOI
van Huyssteen, Daniel; Reddy, B. D. A virtual element method for transversely isotropic hyperelasticity. (English) Zbl 1507.74515 Comput. Methods Appl. Mech. Eng. 386, Article ID 114108, 35 p. (2021). MSC: 74S05 65N30 74B20 PDFBibTeX XMLCite \textit{D. van Huyssteen} and \textit{B. D. Reddy}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114108, 35 p. (2021; Zbl 1507.74515) Full Text: DOI
Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G. Equilibrium analysis of an immersed rigid leaflet by the virtual element method. (English) Zbl 1490.74027 Math. Models Methods Appl. Sci. 31, No. 7, 1323-1372 (2021). MSC: 74F10 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 31, No. 7, 1323--1372 (2021; Zbl 1490.74027) Full Text: DOI arXiv
Artioli, E.; Mascotto, L. Enrichment of the nonconforming virtual element method with singular functions. (English) Zbl 1502.65186 Comput. Methods Appl. Mech. Eng. 385, Article ID 114024, 41 p. (2021). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{E. Artioli} and \textit{L. Mascotto}, Comput. Methods Appl. Mech. Eng. 385, Article ID 114024, 41 p. (2021; Zbl 1502.65186) Full Text: DOI arXiv
Neunteufel, Michael; Pechstein, Astrid S.; Schöberl, Joachim Three-field mixed finite element methods for nonlinear elasticity. (English) Zbl 1506.74053 Comput. Methods Appl. Mech. Eng. 382, Article ID 113857, 26 p. (2021). MSC: 74B20 35Q74 65N30 74S05 PDFBibTeX XMLCite \textit{M. Neunteufel} et al., Comput. Methods Appl. Mech. Eng. 382, Article ID 113857, 26 p. (2021; Zbl 1506.74053) Full Text: DOI arXiv
Böhm, Christoph; Hudobivnik, Blaž; Marino, Michele; Wriggers, Peter Electro-magneto-mechanically response of polycrystalline materials: computational homogenization via the virtual element method. (English) Zbl 1506.74119 Comput. Methods Appl. Mech. Eng. 380, Article ID 113775, 20 p. (2021). MSC: 74F15 74S05 65N30 PDFBibTeX XMLCite \textit{C. Böhm} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113775, 20 p. (2021; Zbl 1506.74119) Full Text: DOI arXiv
Berbatov, K.; Lazarov, B. S.; Jivkov, A. P. A guide to the finite and virtual element methods for elasticity. (English) Zbl 1479.65025 Appl. Numer. Math. 169, 351-395 (2021). MSC: 65N30 74S05 74B10 PDFBibTeX XMLCite \textit{K. Berbatov} et al., Appl. Numer. Math. 169, 351--395 (2021; Zbl 1479.65025) Full Text: DOI
Liu, Xin; Nie, Yufeng A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations. (English) Zbl 1476.65306 Appl. Numer. Math. 167, 375-388 (2021). MSC: 65N30 65N12 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Nie}, Appl. Numer. Math. 167, 375--388 (2021; Zbl 1476.65306) Full Text: DOI
Sreekumar, Abhilash; Triantafyllou, Savvas P.; Bécot, François-Xavier; Chevillotte, Fabien Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains. (English) Zbl 1506.74445 Comput. Methods Appl. Mech. Eng. 375, Article ID 113543, 44 p. (2021). MSC: 74S05 65N30 74F10 74M25 PDFBibTeX XMLCite \textit{A. Sreekumar} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113543, 44 p. (2021; Zbl 1506.74445) Full Text: DOI
D’Altri, A. M.; de Miranda, S.; Patruno, L.; Sacco, E. An enhanced VEM formulation for plane elasticity. (English) Zbl 1506.74397 Comput. Methods Appl. Mech. Eng. 376, Article ID 113663, 17 p. (2021). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{A. M. D'Altri} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113663, 17 p. (2021; Zbl 1506.74397) Full Text: DOI arXiv
Brandyberry, David R.; Zhang, Xiang; Geubelle, Philippe H. A GFEM-based reduced-order homogenization model for heterogeneous materials under volumetric and interfacial damage. (English) Zbl 1506.74325 Comput. Methods Appl. Mech. Eng. 377, Article ID 113690, 21 p. (2021). MSC: 74Q05 74S05 65N30 74R05 PDFBibTeX XMLCite \textit{D. R. Brandyberry} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113690, 21 p. (2021; Zbl 1506.74325) Full Text: DOI
Wriggers, Peter; Hudobivnik, Blaž; Aldakheel, Fadi NURBS-based geometries: a mapping approach for virtual serendipity elements. (English) Zbl 1506.74452 Comput. Methods Appl. Mech. Eng. 378, Article ID 113732, 23 p. (2021). MSC: 74S05 65N30 65D07 PDFBibTeX XMLCite \textit{P. Wriggers} et al., Comput. Methods Appl. Mech. Eng. 378, Article ID 113732, 23 p. (2021; Zbl 1506.74452) Full Text: DOI
Wang, Fei; Wu, Bangmin; Han, Weimin The virtual element method for general elliptic hemivariational inequalities. (English) Zbl 1457.65220 J. Comput. Appl. Math. 389, Article ID 113330, 20 p. (2021). MSC: 65N30 65N15 65J15 74M10 74M15 74S05 35Q74 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Comput. Appl. Math. 389, Article ID 113330, 20 p. (2021; Zbl 1457.65220) Full Text: DOI
Desiderio, Luca; Falletta, Silvia; Scuderi, Letizia A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems. (English) Zbl 1524.65788 Comput. Math. Appl. 84, 296-313 (2021). MSC: 65N30 74S05 65N12 65N38 35J05 65N35 65N50 PDFBibTeX XMLCite \textit{L. Desiderio} et al., Comput. Math. Appl. 84, 296--313 (2021; Zbl 1524.65788) Full Text: DOI
Artioli, Edoardo; De Miranda, Stefano; Lovadina, Carlo; Patruno, Luca A dual hybrid virtual element method for plane elasticity problems. (English) Zbl 1482.65210 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725-1750 (2020). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N15 65N12 35B45 74B10 74K10 PDFBibTeX XMLCite \textit{E. Artioli} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725--1750 (2020; Zbl 1482.65210) Full Text: DOI arXiv
Antonietti, Paola Francesca; Bertoluzza, Silvia; Prada, Daniele; Verani, Marco The virtual element method for a minimal surface problem. (English) Zbl 1471.65191 Calcolo 57, No. 4, Paper No. 39, 21 p. (2020). MSC: 65N30 65N12 65N15 35J61 49Q05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Calcolo 57, No. 4, Paper No. 39, 21 p. (2020; Zbl 1471.65191) Full Text: DOI arXiv
Aldakheel, Fadi; Hudobivnik, Blaž; Artioli, Edoardo; Beirão da Veiga, Lourenço; Wriggers, Peter Curvilinear virtual elements for contact mechanics. (English) Zbl 1506.74382 Comput. Methods Appl. Mech. Eng. 372, Article ID 113394, 19 p. (2020). MSC: 74S05 65N30 74B05 74M15 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113394, 19 p. (2020; Zbl 1506.74382) Full Text: DOI
Liu, Xin; Li, Rui; Nie, Yufeng A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem. (English) Zbl 1506.76092 Comput. Methods Appl. Mech. Eng. 372, Article ID 113351, 21 p. (2020). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{X. Liu} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113351, 21 p. (2020; Zbl 1506.76092) Full Text: DOI
Hussein, Ali; Hudobivnik, Blaž; Wriggers, Peter A combined adaptive phase field and discrete cutting method for the prediction of crack paths. (English) Zbl 1506.74353 Comput. Methods Appl. Mech. Eng. 372, Article ID 113329, 20 p. (2020). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{A. Hussein} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113329, 20 p. (2020; Zbl 1506.74353) Full Text: DOI
Wriggers, P.; Hudobivnik, B.; Aldakheel, F. A virtual element formulation for general element shapes. (English) Zbl 1466.74052 Comput. Mech. 66, No. 4, 963-977 (2020). MSC: 74S22 74B20 65D17 PDFBibTeX XMLCite \textit{P. Wriggers} et al., Comput. Mech. 66, No. 4, 963--977 (2020; Zbl 1466.74052) Full Text: DOI
Artioli, E.; Sommariva, A.; Vianello, M. Algebraic cubature on polygonal elements with a circular edge. (English) Zbl 1454.65159 Comput. Math. Appl. 79, No. 7, 2057-2066 (2020). MSC: 65N30 65N50 65D05 65D32 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Math. Appl. 79, No. 7, 2057--2066 (2020; Zbl 1454.65159) Full Text: DOI Link
Garg, Nikhil; Prusty, B. Gangadhara; Song, Chongmin; Phillips, Andrew W. Cylindrical bending of thick laminated composite plates using scaled boundary finite element method. (English) Zbl 1464.74273 Eng. Anal. Bound. Elem. 120, 73-81 (2020). MSC: 74S15 65N38 74K20 PDFBibTeX XMLCite \textit{N. Garg} et al., Eng. Anal. Bound. Elem. 120, 73--81 (2020; Zbl 1464.74273) Full Text: DOI
Tang, Xialan; Liu, Zhibin; Zhang, Baiju; Feng, Minfu A low-order locking-free virtual element for linear elasticity problems. (English) Zbl 1447.65162 Comput. Math. Appl. 80, No. 5, 1260-1274 (2020). MSC: 65N30 65N15 74B05 74S05 35Q74 PDFBibTeX XMLCite \textit{X. Tang} et al., Comput. Math. Appl. 80, No. 5, 1260--1274 (2020; Zbl 1447.65162) Full Text: DOI
van Huyssteen, Daniel; Reddy, B. D. A virtual element method for isotropic hyperelasticity. (English) Zbl 1442.74036 Comput. Methods Appl. Mech. Eng. 367, Article ID 113134, 16 p. (2020). MSC: 74B20 74S05 65N30 PDFBibTeX XMLCite \textit{D. van Huyssteen} and \textit{B. D. Reddy}, Comput. Methods Appl. Mech. Eng. 367, Article ID 113134, 16 p. (2020; Zbl 1442.74036) Full Text: DOI arXiv
Artioli, E.; Marfia, S.; Sacco, E. VEM-based tracking algorithm for cohesive/frictional 2D fracture. (English) Zbl 1442.74198 Comput. Methods Appl. Mech. Eng. 365, Article ID 112956, 20 p. (2020). MSC: 74R10 74S05 65N30 74M10 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112956, 20 p. (2020; Zbl 1442.74198) Full Text: DOI
Dassi, Franco; Lovadina, Carlo; Visinoni, M. A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems. (English) Zbl 1442.65358 Comput. Methods Appl. Mech. Eng. 364, Article ID 112910, 17 p. (2020). MSC: 65N30 74B05 PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112910, 17 p. (2020; Zbl 1442.65358) Full Text: DOI arXiv
Artioli, E.; Beirão da Veiga, L.; Dassi, F. Curvilinear virtual elements for 2D solid mechanics applications. (English) Zbl 1441.74229 Comput. Methods Appl. Mech. Eng. 359, Article ID 112667, 19 p. (2020). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112667, 19 p. (2020; Zbl 1441.74229) Full Text: DOI arXiv
Marino, Michele; Hudobivnik, Blaž; Wriggers, Peter Computational homogenization of polycrystalline materials with the virtual element method. (English) Zbl 1441.74190 Comput. Methods Appl. Mech. Eng. 355, 349-372 (2019). MSC: 74Q05 74S05 65N30 PDFBibTeX XMLCite \textit{M. Marino} et al., Comput. Methods Appl. Mech. Eng. 355, 349--372 (2019; Zbl 1441.74190) Full Text: DOI
Botti, Michele; Di Pietro, Daniele A.; Guglielmana, Alessandra A low-order nonconforming method for linear elasticity on general meshes. (English) Zbl 1441.74231 Comput. Methods Appl. Mech. Eng. 354, 96-118 (2019). MSC: 74S05 74B05 65N30 PDFBibTeX XMLCite \textit{M. Botti} et al., Comput. Methods Appl. Mech. Eng. 354, 96--118 (2019; Zbl 1441.74231) Full Text: DOI arXiv
Mengolini, Michael; Benedetto, Matías F.; Aragón, Alejandro M. An engineering perspective to the virtual element method and its interplay with the standard finite element method. (English) Zbl 1441.74264 Comput. Methods Appl. Mech. Eng. 350, 995-1023 (2019). MSC: 74S05 65N30 35Q74 65N50 74B05 PDFBibTeX XMLCite \textit{M. Mengolini} et al., Comput. Methods Appl. Mech. Eng. 350, 995--1023 (2019; Zbl 1441.74264) Full Text: DOI
Chi, Heng; Beirão da Veiga, Lourenço; Paulino, Glaucio H. A simple and effective gradient recovery scheme and a posteriori error estimator for the virtual element method (VEM). (English) Zbl 1440.65194 Comput. Methods Appl. Mech. Eng. 347, 21-58 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{H. Chi} et al., Comput. Methods Appl. Mech. Eng. 347, 21--58 (2019; Zbl 1440.65194) Full Text: DOI
Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas A hybrid high-order method for incremental associative plasticity with small deformations. (English) Zbl 1440.74368 Comput. Methods Appl. Mech. Eng. 346, 891-912 (2019). MSC: 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{M. Abbas} et al., Comput. Methods Appl. Mech. Eng. 346, 891--912 (2019; Zbl 1440.74368) Full Text: DOI arXiv
Feng, Fang; Han, Weimin; Huang, Jianguo Virtual element method for an elliptic hemivariational inequality with applications to contact mechanics. (English) Zbl 1432.74202 J. Sci. Comput. 81, No. 3, 2388-2412 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 74S05 65N30 65N15 65N12 74M15 74M10 74B05 49J40 35J86 PDFBibTeX XMLCite \textit{F. Feng} et al., J. Sci. Comput. 81, No. 3, 2388--2412 (2019; Zbl 1432.74202) Full Text: DOI
Ortiz-Bernardin, A.; Alvarez, C.; Hitschfeld-Kahler, N.; Russo, A.; Silva-Valenzuela, R.; Olate-Sanzana, E. Veamy: an extensible object-oriented C++ library for the virtual element method. (English) Zbl 1442.65002 Numer. Algorithms 82, No. 4, 1189-1220 (2019). MSC: 65-04 65N30 65N50 35J05 74B99 PDFBibTeX XMLCite \textit{A. Ortiz-Bernardin} et al., Numer. Algorithms 82, No. 4, 1189--1220 (2019; Zbl 1442.65002) Full Text: DOI arXiv
Beirão da Veiga, L.; Mora, D.; Vacca, G. The Stokes complex for virtual elements with application to Navier-Stokes flows. (English) Zbl 1446.65185 J. Sci. Comput. 81, No. 2, 990-1018 (2019). MSC: 65N35 35Q30 76M10 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., J. Sci. Comput. 81, No. 2, 990--1018 (2019; Zbl 1446.65185) Full Text: DOI arXiv
Roubíček, Tomáš A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains. (English) Zbl 1425.74346 Interfaces Free Bound. 21, No. 2, 169-198 (2019). MSC: 74M15 74F05 35R45 65K15 74A55 74F10 80A17 PDFBibTeX XMLCite \textit{T. Roubíček}, Interfaces Free Bound. 21, No. 2, 169--198 (2019; Zbl 1425.74346) Full Text: DOI arXiv
Artioli, E.; Marfia, S.; Sacco, E. High-order virtual element method for the homogenization of long fiber nonlinear composites. (English) Zbl 1440.74338 Comput. Methods Appl. Mech. Eng. 341, 571-585 (2018). MSC: 74Q05 74S05 65M60 74C10 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 341, 571--585 (2018; Zbl 1440.74338) Full Text: DOI
Aldakheel, Fadi; Hudobivnik, Blaž; Hussein, Ali; Wriggers, Peter Phase-field modeling of brittle fracture using an efficient virtual element scheme. (English) Zbl 1440.74352 Comput. Methods Appl. Mech. Eng. 341, 443-466 (2018). MSC: 74R10 74S05 65M60 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 341, 443--466 (2018; Zbl 1440.74352) Full Text: DOI
Artioli, E.; de Miranda, S.; Lovadina, C.; Patruno, L. A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle. (English) Zbl 1440.74056 Comput. Methods Appl. Mech. Eng. 340, 978-999 (2018). MSC: 74B05 74S05 65N30 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 340, 978--999 (2018; Zbl 1440.74056) Full Text: DOI arXiv
Benedetto, Matías Fernando; Caggiano, Antonio; Etse, Guillermo Virtual elements and zero thickness interface-based approach for fracture analysis of heterogeneous materials. (English) Zbl 1440.74374 Comput. Methods Appl. Mech. Eng. 338, 41-67 (2018). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{M. F. Benedetto} et al., Comput. Methods Appl. Mech. Eng. 338, 41--67 (2018; Zbl 1440.74374) Full Text: DOI
Zhong, Hong; Li, Hongjun; Ooi, Ean Tat; Song, Chongmin Hydraulic fracture at the dam-foundation interface using the scaled boundary finite element method coupled with the cohesive crack model. (English) Zbl 1403.74060 Eng. Anal. Bound. Elem. 88, 41-53 (2018). MSC: 74L10 74S15 65N38 74R10 PDFBibTeX XMLCite \textit{H. Zhong} et al., Eng. Anal. Bound. Elem. 88, 41--53 (2018; Zbl 1403.74060) Full Text: DOI
da Veiga, L. Beirão; Lovadina, C.; Vacca, G. Virtual elements for the Navier-Stokes problem on polygonal meshes. (English) Zbl 1397.65302 SIAM J. Numer. Anal. 56, No. 3, 1210-1242 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65N30 76D05 PDFBibTeX XMLCite \textit{L. B. da Veiga} et al., SIAM J. Numer. Anal. 56, No. 3, 1210--1242 (2018; Zbl 1397.65302) Full Text: DOI arXiv
Artioli, E.; de Miranda, S.; Lovadina, C.; Patruno, L. A stress/displacement virtual element method for plane elasticity problems. (English) Zbl 1439.74040 Comput. Methods Appl. Mech. Eng. 325, 155-174 (2017). MSC: 74B05 74S05 65N30 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Methods Appl. Mech. Eng. 325, 155--174 (2017; Zbl 1439.74040) Full Text: DOI arXiv
Covezzi, F.; de Miranda, S.; Marfia, S.; Sacco, E. Homogenization of elastic-viscoplastic composites by the mixed TFA. (English) Zbl 1439.74321 Comput. Methods Appl. Mech. Eng. 318, 701-723 (2017). MSC: 74Q05 74S99 65M99 74C10 PDFBibTeX XMLCite \textit{F. Covezzi} et al., Comput. Methods Appl. Mech. Eng. 318, 701--723 (2017; Zbl 1439.74321) Full Text: DOI
Serpieri, R.; Albarella, M.; Sacco, E. A 3D two-scale multiplane cohesive-zone model for mixed-mode fracture with finite dilation. (English) Zbl 1439.74372 Comput. Methods Appl. Mech. Eng. 313, 857-888 (2017). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{R. Serpieri} et al., Comput. Methods Appl. Mech. Eng. 313, 857--888 (2017; Zbl 1439.74372) Full Text: DOI
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem. (English) Zbl 1386.74133 Comput. Mech. 60, No. 4, 643-657 (2017). MSC: 74S05 65N30 74C05 74D05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Mech. 60, No. 4, 643--657 (2017; Zbl 1386.74133) Full Text: DOI arXiv
Artioli, E.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Sacco, E. Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem. (English) Zbl 1386.74132 Comput. Mech. 60, No. 3, 355-377 (2017). MSC: 74S05 65N30 74B05 74D05 PDFBibTeX XMLCite \textit{E. Artioli} et al., Comput. Mech. 60, No. 3, 355--377 (2017; Zbl 1386.74132) Full Text: DOI arXiv
Thai, Chien H.; Do, Vuong N. V.; Nguyen-Xuan, H. An improved moving Kriging-based meshfree method for static, dynamic and buckling analyses of functionally graded isotropic and sandwich plates. (English) Zbl 1403.74034 Eng. Anal. Bound. Elem. 64, 122-136 (2016). MSC: 74G60 74S05 65N30 74K20 PDFBibTeX XMLCite \textit{C. H. Thai} et al., Eng. Anal. Bound. Elem. 64, 122--136 (2016; Zbl 1403.74034) Full Text: DOI
Vondřejc, Jaroslav Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration. (English) Zbl 1352.74269 Int. J. Numer. Methods Eng. 107, No. 13, 1106-1135 (2016). MSC: 74Q05 74S30 65T50 PDFBibTeX XMLCite \textit{J. Vondřejc}, Int. J. Numer. Methods Eng. 107, No. 13, 1106--1135 (2016; Zbl 1352.74269) Full Text: DOI arXiv
Mishra, Nachiketa; Vondřejc, Jaroslav; Zeman, Jan A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media. (English) Zbl 1349.94072 J. Comput. Phys. 321, 151-168 (2016). MSC: 94A12 65T50 PDFBibTeX XMLCite \textit{N. Mishra} et al., J. Comput. Phys. 321, 151--168 (2016; Zbl 1349.94072) Full Text: DOI arXiv
Petracca, Massimo; Pelà, Luca; Rossi, Riccardo; Oller, Sergio; Camata, Guido; Spacone, Enrico Regularization of first order computational homogenization for multiscale analysis of masonry structures. (English) Zbl 1359.74358 Comput. Mech. 57, No. 2, 257-276 (2016). MSC: 74Q05 74S05 65M60 74R10 PDFBibTeX XMLCite \textit{M. Petracca} et al., Comput. Mech. 57, No. 2, 257--276 (2016; Zbl 1359.74358) Full Text: DOI Link
Castellazzi, Giovanni; Artioli, Edoardo; Krysl, Petr Linear tetrahedral element for problems of plastic deformation. (English) Zbl 1336.74065 Meccanica 50, No. 12, 3069-3086 (2015). MSC: 74S05 74C15 65N30 PDFBibTeX XMLCite \textit{G. Castellazzi} et al., Meccanica 50, No. 12, 3069--3086 (2015; Zbl 1336.74065) Full Text: DOI
Ciancio, D.; Carol, I.; Castellazzi, G. Optimal penalty stiffness values of concurrent 2D elastic interface elements leading to accurate stress tractions. (English) Zbl 1352.74030 Int. J. Numer. Methods Eng. 98, No. 5, 344-370 (2014). MSC: 74A50 74S05 65N30 74M15 PDFBibTeX XMLCite \textit{D. Ciancio} et al., Int. J. Numer. Methods Eng. 98, No. 5, 344--370 (2014; Zbl 1352.74030) Full Text: DOI
Guguin, Guillaume; Allix, Olivier; Gosselet, Pierre; Guinard, Stéphane Nonintrusive coupling of 3D and 2D laminated composite models based on finite element 3D recovery. (English) Zbl 1352.74032 Int. J. Numer. Methods Eng. 98, No. 5, 324-343 (2014). MSC: 74A50 74S05 65N30 74F05 PDFBibTeX XMLCite \textit{G. Guguin} et al., Int. J. Numer. Methods Eng. 98, No. 5, 324--343 (2014; Zbl 1352.74032) Full Text: DOI arXiv
Dimitri, R.; De Lorenzis, L.; Wriggers, P.; Zavarise, G. NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding. (English) Zbl 1398.74323 Comput. Mech. 54, No. 2, 369-388 (2014). MSC: 74S05 41A15 65D17 74M15 65D07 74R99 PDFBibTeX XMLCite \textit{R. Dimitri} et al., Comput. Mech. 54, No. 2, 369--388 (2014; Zbl 1398.74323) Full Text: DOI
Macri, Michael; Littlefield, Andrew Enrichment based multiscale modeling for thermo-stress analysis of heterogeneous material. (English) Zbl 1352.74099 Int. J. Numer. Methods Eng. 93, No. 11, 1147-1169 (2013). MSC: 74F05 65N30 74A10 PDFBibTeX XMLCite \textit{M. Macri} and \textit{A. Littlefield}, Int. J. Numer. Methods Eng. 93, No. 11, 1147--1169 (2013; Zbl 1352.74099) Full Text: DOI
Cinefra, M.; Carrera, E. Shell finite elements with different through-the-thickness kinematics for the linear analysis of cylindrical multilayered structures. (English) Zbl 1352.74171 Int. J. Numer. Methods Eng. 93, No. 2, 160-182 (2013). MSC: 74K25 74S05 65N30 PDFBibTeX XMLCite \textit{M. Cinefra} and \textit{E. Carrera}, Int. J. Numer. Methods Eng. 93, No. 2, 160--182 (2013; Zbl 1352.74171) Full Text: DOI
Reis, F. J. P.; Andrade Pires, F. M. An adaptive sub-incremental strategy for the solution of homogenization-based multi-scale problems. (English) Zbl 1286.74085 Comput. Methods Appl. Mech. Eng. 257, 164-182 (2013). MSC: 74Q10 74S05 65N22 65N30 PDFBibTeX XMLCite \textit{F. J. P. Reis} and \textit{F. M. Andrade Pires}, Comput. Methods Appl. Mech. Eng. 257, 164--182 (2013; Zbl 1286.74085) Full Text: DOI
Durán, Ricardo G.; Rodríguez, Rodolfo; Sanhueza, Frank Numerical analysis of a finite element method to compute the vibration modes of a Reissner-Mindlin laminated plate. (English) Zbl 1387.74106 Math. Comput. 80, No. 275, 1239-1264 (2011). MSC: 74S05 74K20 65N30 65N15 PDFBibTeX XMLCite \textit{R. G. Durán} et al., Math. Comput. 80, No. 275, 1239--1264 (2011; Zbl 1387.74106) Full Text: DOI
Castellazzi, G.; de Miranda, S.; Ubertini, F. Patch based stress recovery for plate structures. (English) Zbl 1398.74313 Comput. Mech. 47, No. 4, 379-394 (2011). MSC: 74S05 74K20 74E30 65N15 74S99 PDFBibTeX XMLCite \textit{G. Castellazzi} et al., Comput. Mech. 47, No. 4, 379--394 (2011; Zbl 1398.74313) Full Text: DOI
Matus, P.; Melnik, R. V. N.; Wang, Linxiang; Rybak, I. Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. (English) Zbl 1146.74345 Math. Comput. Simul. 65, No. 4-5, 489-509 (2004). MSC: 74N30 65M06 74B20 74F05 74H15 PDFBibTeX XMLCite \textit{P. Matus} et al., Math. Comput. Simul. 65, No. 4--5, 489--509 (2004; Zbl 1146.74345) Full Text: DOI