Han, Jike; Hirayama, Daigo; Shintaku, Yuichi; Moriguchi, Shuji; Terada, Kenjiro Crack phase-field enhanced finite cover method for dynamic fracture at finite strain. (English) Zbl 07801052 Int. J. Numer. Methods Eng. 125, No. 2, Article ID e7371, 30 p. (2024). MSC: 74S99 74R10 74H80 PDFBibTeX XMLCite \textit{J. Han} et al., Int. J. Numer. Methods Eng. 125, No. 2, Article ID e7371, 30 p. (2024; Zbl 07801052) Full Text: DOI OA License
Petö, Márton; Eisenträger, Sascha; Duvigneau, Fabian; Juhre, Daniel Boolean finite cell method for multi-material problems including local enrichment of the ansatz space. (English) Zbl 07773246 Comput. Mech. 72, No. 4, 743-764 (2023). MSC: 74S99 74F10 PDFBibTeX XMLCite \textit{M. Petö} et al., Comput. Mech. 72, No. 4, 743--764 (2023; Zbl 07773246) Full Text: DOI OA License
Han, Jike; Shintaku, Yuichi; Moriguchi, Shuji; Terada, Kenjiro A transition scheme from diffusive to discrete crack topologies at finite strain during the course of a staggered iterative procedure. (English) Zbl 07769161 Int. J. Numer. Methods Eng. 124, No. 6, 1405-1433 (2023). MSC: 74R10 74B20 74S99 PDFBibTeX XMLCite \textit{J. Han} et al., Int. J. Numer. Methods Eng. 124, No. 6, 1405--1433 (2023; Zbl 07769161) Full Text: DOI OA License
Kamalodini, Mohammad; Hamzehei-Javaran, Saleh; Shojaee, Saeed Topology optimization based on the high-order numerical manifold method by implementing a four-node quadrilateral element. (English) Zbl 1523.74174 Eng. Optim. 55, No. 1, 89-109 (2023). MSC: 74S05 74P15 49M41 65N30 PDFBibTeX XMLCite \textit{M. Kamalodini} et al., Eng. Optim. 55, No. 1, 89--109 (2023; Zbl 1523.74174) Full Text: DOI
Gierdziewicz, Maciej Simulation of processes and structures in the synapse in the context of tetrahedral mesh quality. (English) Zbl 07731321 Comput. Math. Appl. 145, 58-64 (2023). MSC: 92C20 35K57 65N50 PDFBibTeX XMLCite \textit{M. Gierdziewicz}, Comput. Math. Appl. 145, 58--64 (2023; Zbl 07731321) Full Text: DOI
Han, Feng; Liu, Yu; Wang, Jianguo Posteriori error neural network: a recovery type posteriori error estimator based on neural network for diffusion problems. (English) Zbl 07703984 Comput. Math. Appl. 143, 169-188 (2023). MSC: 65N30 65N15 35J25 74S05 60H35 PDFBibTeX XMLCite \textit{F. Han} et al., Comput. Math. Appl. 143, 169--188 (2023; Zbl 07703984) Full Text: DOI
Garg, Divay; Porwal, Kamana Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem. (English) Zbl 07701015 Math. Comput. Simul. 207, 1-23 (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{D. Garg} and \textit{K. Porwal}, Math. Comput. Simul. 207, 1--23 (2023; Zbl 07701015) Full Text: DOI
Kalachikova, Uygulaana; Vasilyeva, Maria; Harris, Isaac; Chung, Eric T. Generalized multiscale finite element method for scattering problem in heterogeneous media. (English) Zbl 07697403 J. Comput. Appl. Math. 424, Article ID 114977, 17 p. (2023). MSC: 65Nxx 74Sxx 35Jxx PDFBibTeX XMLCite \textit{U. Kalachikova} et al., J. Comput. Appl. Math. 424, Article ID 114977, 17 p. (2023; Zbl 07697403) Full Text: DOI
Wang, Wen; Zhu, Qi-Zhi; Ni, Tao; Vazic, Bozo; Newell, Pania; Bordas, Stéphane P. A. An extended peridynamic model equipped with a new bond-breakage criterion for mixed-mode fracture in rock-like materials. (English) Zbl 07692945 Comput. Methods Appl. Mech. Eng. 411, Article ID 116016, 26 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{W. Wang} et al., Comput. Methods Appl. Mech. Eng. 411, Article ID 116016, 26 p. (2023; Zbl 07692945) Full Text: DOI
Li, H.; Avecillas-Leon, J.; Shauer, N.; Duarte, C. A. A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models. (English) Zbl 1507.74488 Comput. Methods Appl. Mech. Eng. 402, Article ID 115408, 34 p. (2022). MSC: 74S05 74K25 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115408, 34 p. (2022; Zbl 1507.74488) Full Text: DOI
Tang, Yuelong; Hua, Yuchun A posteriori error estimates of characteristic mixed finite elements for convection-diffusion control problems. (English) Zbl 1500.65070 Open Math. 20, 629-645 (2022). MSC: 65M60 65M06 65N30 65K10 65M15 49J20 49M41 76R50 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Hua}, Open Math. 20, 629--645 (2022; Zbl 1500.65070) Full Text: DOI
Kadapa, Chennakesava; Wang, Xinyu; Mei, Yue A comprehensive assessment of accuracy of adaptive integration of cut cells for laminar fluid-structure interaction problems. (English) Zbl 1524.65821 Comput. Math. Appl. 122, 1-18 (2022). MSC: 65N30 76M10 65D30 74S05 76D05 74F10 PDFBibTeX XMLCite \textit{C. Kadapa} et al., Comput. Math. Appl. 122, 1--18 (2022; Zbl 1524.65821) Full Text: DOI arXiv
Ma, Zhaoyang; Liu, Wei; Li, Shu; Lu, Xin; Bessling, Benjamin; Guo, Xingming; Yang, Qingda A local to global (L2G) finite element method for efficient and robust analysis of arbitrary cracking in 2D solids. (English) Zbl 1507.74402 Comput. Methods Appl. Mech. Eng. 398, Article ID 115205, 29 p. (2022). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{Z. Ma} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115205, 29 p. (2022; Zbl 1507.74402) Full Text: DOI
Bento, M. H. C.; Proença, S. P. B.; Duarte, C. A. Well-conditioned and optimally convergent second-order generalized/extended FEM formulations for linear elastic fracture mechanics. (English) Zbl 1507.74451 Comput. Methods Appl. Mech. Eng. 394, Article ID 114917, 24 p. (2022). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{M. H. C. Bento} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114917, 24 p. (2022; Zbl 1507.74451) Full Text: DOI
Ma, Jinwei; Duan, Qinglin; Tian, Rong A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids. (English) Zbl 1507.74494 Comput. Methods Appl. Mech. Eng. 392, Article ID 114639, 31 p. (2022). MSC: 74S05 65N30 65N50 74C05 PDFBibTeX XMLCite \textit{J. Ma} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114639, 31 p. (2022; Zbl 1507.74494) Full Text: DOI
Rosa, R. J. R.; Coda, H. B.; Sanches, R. A. K. Blended isogeometric-finite element analysis for large displacements linear elastic fracture mechanics. (English) Zbl 1507.74069 Comput. Methods Appl. Mech. Eng. 392, Article ID 114622, 28 p. (2022). MSC: 74B05 74S22 PDFBibTeX XMLCite \textit{R. J. R. Rosa} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114622, 28 p. (2022; Zbl 1507.74069) Full Text: DOI
Bai, Bing; Ci, Huiling; Lei, Hongwu; Cui, Yinxiang A local integral-generalized finite difference method with mesh-meshless duality and its application. (English) Zbl 1521.76521 Eng. Anal. Bound. Elem. 139, 14-31 (2022). MSC: 76M20 65N06 PDFBibTeX XMLCite \textit{B. Bai} et al., Eng. Anal. Bound. Elem. 139, 14--31 (2022; Zbl 1521.76521) Full Text: DOI
Chen, Yanping; Yi, Huaming; Wang, Yang; Huang, Yunqing Immersed finite element approximation for semi-linear parabolic interface problems combining with two-grid methods. (English) Zbl 1484.65212 Appl. Numer. Math. 175, 56-72 (2022). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Numer. Math. 175, 56--72 (2022; Zbl 1484.65212) Full Text: DOI
Zhang, Jicheng; Deng, Quanling; Li, Xin A generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface. (English) Zbl 1493.65240 J. Comput. Appl. Math. 407, Article ID 114053, 22 p. (2022). MSC: 65N30 65D07 65N25 65N12 65N15 65F35 35J25 35P15 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Comput. Appl. Math. 407, Article ID 114053, 22 p. (2022; Zbl 1493.65240) Full Text: DOI
Aryeni, T.; Deng, Q.; Ginting, V. On the application of stable generalized finite element method for quasilinear elliptic two-point BVP. (English) Zbl 1501.65103 J. Sci. Comput. 90, No. 1, Paper No. 33, 38 p. (2022). MSC: 65N30 65N12 76S05 35J62 35R05 PDFBibTeX XMLCite \textit{T. Aryeni} et al., J. Sci. Comput. 90, No. 1, Paper No. 33, 38 p. (2022; Zbl 1501.65103) Full Text: DOI arXiv
Ballard, M. Keith; Amici, Roman; Shankar, Varun; Ferguson, Lauren A.; Braginsky, Michael; Kirby, Robert M. Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture. (English) Zbl 1507.74448 Comput. Methods Appl. Mech. Eng. 388, Article ID 114221, 29 p. (2022). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{M. K. Ballard} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114221, 29 p. (2022; Zbl 1507.74448) Full Text: DOI arXiv
Chai, Yingbin; Li, Wei; Liu, Zuyuan Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions. (English) Zbl 1510.74114 Appl. Math. Comput. 412, Article ID 126564, 31 p. (2022). MSC: 74S05 65N30 74J99 PDFBibTeX XMLCite \textit{Y. Chai} et al., Appl. Math. Comput. 412, Article ID 126564, 31 p. (2022; Zbl 1510.74114) Full Text: DOI
Cittadin, Carolina Castro; Corrêa, Ramon Macedo; Arndt, Marcos; Machado, Roberto Dalledone Selective enrichment and modal matrix reduction in the generalized/extended finite element method applied to dynamic analysis of plane state problems. (English) Zbl 1507.74460 Eur. J. Mech., A, Solids 91, Article ID 104430, 16 p. (2022). MSC: 74S05 74H45 74K10 PDFBibTeX XMLCite \textit{C. C. Cittadin} et al., Eur. J. Mech., A, Solids 91, Article ID 104430, 16 p. (2022; Zbl 1507.74460) Full Text: DOI
San, Omer; Rasheed, Adil; Kvamsdal, Trond Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution. (English) Zbl 07778826 GAMM-Mitt. 44, No. 2, Article ID 202100007, 32 p. (2021). MSC: 65M99 65-02 68Q32 68T07 92B20 78A55 PDFBibTeX XMLCite \textit{O. San} et al., GAMM-Mitt. 44, No. 2, Article ID 202100007, 32 p. (2021; Zbl 07778826) Full Text: DOI arXiv
Alves, Phillipe D.; Simone, Angelo; Duarte, C. Armando A generalized finite element method for three-dimensional fractures in fiber-reinforced composites. (English) Zbl 1520.74078 Meccanica 56, No. 6, 1441-1473 (2021). MSC: 74S05 74R99 74E30 PDFBibTeX XMLCite \textit{P. D. Alves} et al., Meccanica 56, No. 6, 1441--1473 (2021; Zbl 1520.74078) Full Text: DOI
Tang, Yuelong; Hua, Yuchun A posteriori error estimates based on superconvergence of FEM for fractional evolution equations. (English) Zbl 1482.65169 Open Math. 19, 1210-1222 (2021). MSC: 65M30 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Hua}, Open Math. 19, 1210--1222 (2021; Zbl 1482.65169) Full Text: DOI
Shin, Dongwook; Hwang, Yoongu; Park, Eun-Jae Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problems. (English) Zbl 1476.65307 Comput. Methods Appl. Math. 21, No. 4, 929-951 (2021). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D. Shin} et al., Comput. Methods Appl. Math. 21, No. 4, 929--951 (2021; Zbl 1476.65307) Full Text: DOI
Wang, Lihua; Liu, Yijia; Zhou, Yueting; Yang, Fan A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates. (English) Zbl 1478.74087 Comput. Mech. 68, No. 4, 709-739 (2021). MSC: 74S99 74K10 74K20 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Mech. 68, No. 4, 709--739 (2021; Zbl 1478.74087) Full Text: DOI
Doškář, Martin; Zeman, Jan; Krysl, Petr; Novák, Jan Microstructure-informed reduced modes synthesized with Wang tiles and the generalized finite element method. (English) Zbl 1480.74042 Comput. Mech. 68, No. 2, 233-253 (2021). MSC: 74E05 74E35 74M25 74S05 PDFBibTeX XMLCite \textit{M. Doškář} et al., Comput. Mech. 68, No. 2, 233--253 (2021; Zbl 1480.74042) Full Text: DOI arXiv
Chamoin, Ludovic; Legoll, Frédéric Goal-oriented error estimation and adaptivity in MsFEM computations. (English) Zbl 1477.35258 Comput. Mech. 67, No. 4, 1201-1228 (2021); correction ibid. 68, No. 1, 229-230 (2021). MSC: 35Q74 74E30 74S05 65N30 65N15 35J15 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, Comput. Mech. 67, No. 4, 1201--1228 (2021; Zbl 1477.35258) Full Text: DOI arXiv
Wang, Jiarui; Zhou, Guohua; Hillman, Michael; Madra, Anna; Bazilevs, Yuri; Du, Jing; Su, Kangning Consistent immersed volumetric Nitsche methods for composite analysis. (English) Zbl 1502.74082 Comput. Methods Appl. Mech. Eng. 385, Article ID 114042, 30 p. (2021). MSC: 74M25 65Z05 74E30 PDFBibTeX XMLCite \textit{J. Wang} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114042, 30 p. (2021; Zbl 1502.74082) Full Text: DOI
Tang, Jinsong; Qian, Linfang; Chen, Guangsong A gradient continuous smoothed GFEM for heat transfer and thermoelasticity analyses. (English) Zbl 1475.74123 Acta Mech. 232, No. 9, 3737-3765 (2021). MSC: 74S05 74F05 PDFBibTeX XMLCite \textit{J. Tang} et al., Acta Mech. 232, No. 9, 3737--3765 (2021; Zbl 1475.74123) Full Text: DOI
Legrain, Grégory Non-negative moment fitting quadrature rules for fictitious domain methods. (English) Zbl 1524.74427 Comput. Math. Appl. 99, 270-291 (2021). MSC: 74S05 65N30 65N50 65M60 74C05 PDFBibTeX XMLCite \textit{G. Legrain}, Comput. Math. Appl. 99, 270--291 (2021; Zbl 1524.74427) Full Text: DOI HAL
Mirfatah, S. M.; Boroomand, B. On the simulation of image-based cellular materials in a meshless style. (English) Zbl 1524.65848 Comput. Math. Appl. 100, 99-125 (2021). MSC: 65N30 74S05 65N35 65D17 35J05 65K10 PDFBibTeX XMLCite \textit{S. M. Mirfatah} and \textit{B. Boroomand}, Comput. Math. Appl. 100, 99--125 (2021; Zbl 1524.65848) Full Text: DOI
Zhuang, Xiaoying; Ren, Huilong; Rabczuk, Timon Nonlocal operator method for dynamic brittle fracture based on an explicit phase field model. (English) Zbl 1486.74125 Eur. J. Mech., A, Solids 90, Article ID 104380, 14 p. (2021). MSC: 74R10 74A70 74S99 PDFBibTeX XMLCite \textit{X. Zhuang} et al., Eur. J. Mech., A, Solids 90, Article ID 104380, 14 p. (2021; Zbl 1486.74125) Full Text: DOI
Wu, C.; Zeng, H.; Huang, Y.; Yi, N.; Yuan, J. Superconvergence recovery of cubic edge elements for Maxwell’s equations. (English) Zbl 1457.65221 J. Comput. Appl. Math. 389, Article ID 113333, 19 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 78M10 35Q61 PDFBibTeX XMLCite \textit{C. Wu} et al., J. Comput. Appl. Math. 389, Article ID 113333, 19 p. (2021; Zbl 1457.65221) Full Text: DOI
Düster, Alexander; Hubrich, Simeon Adaptive integration of cut finite elements and cells for nonlinear structural analysis. (English) Zbl 1481.74695 De Lorenzis, Laura (ed.) et al., Modeling in engineering using innovative numerical methods for solids and fluids. Papers based on the presentations at the CISM course, Udine, Italy, October 15–19, 2018. Cham: Springer. CISM Courses Lect. 599, 31-73 (2020). MSC: 74S05 74C05 74C15 74F10 74K20 PDFBibTeX XMLCite \textit{A. Düster} and \textit{S. Hubrich}, CISM Courses Lect. 599, 31--73 (2020; Zbl 1481.74695) Full Text: DOI
Düster, Alexander; Allix, Olivier Selective enrichment of moment fitting and application to cut finite elements and cells. (English) Zbl 1489.74053 Comput. Mech. 65, No. 2, 429-450 (2020). MSC: 74S05 74S99 74K10 PDFBibTeX XMLCite \textit{A. Düster} and \textit{O. Allix}, Comput. Mech. 65, No. 2, 429--450 (2020; Zbl 1489.74053) Full Text: DOI
Wang, Lihua; Qian, Zhihao A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation. (English) Zbl 1506.65237 Comput. Methods Appl. Mech. Eng. 371, Article ID 113303, 40 p. (2020). MSC: 65N35 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Z. Qian}, Comput. Methods Appl. Mech. Eng. 371, Article ID 113303, 40 p. (2020; Zbl 1506.65237) Full Text: DOI
Wu, Chao; Huang, Yunqing; Yi, Nianyu; Yuan, Jinyun Superconvergent recovery of edge finite element approximation for Maxwell’s equations. (English) Zbl 1506.65231 Comput. Methods Appl. Mech. Eng. 371, Article ID 113302, 24 p. (2020). MSC: 65N30 65N12 65N50 78M10 PDFBibTeX XMLCite \textit{C. Wu} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113302, 24 p. (2020; Zbl 1506.65231) Full Text: DOI
Álvarez Hostos, Juan C.; Cruchaga, Marcela A.; Fachinotti, Víctor D.; Zambrano Carrillo, Javier A.; Zamora, Esteban A plausible extension of standard penalty, streamline upwind and immersed boundary techniques to the improved element-free Galerkin-based solution of incompressible Navier-Stokes equations. (English) Zbl 1506.76020 Comput. Methods Appl. Mech. Eng. 372, Article ID 113380, 27 p. (2020). MSC: 76D05 76M10 65M60 PDFBibTeX XMLCite \textit{J. C. Álvarez Hostos} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113380, 27 p. (2020; Zbl 1506.76020) Full Text: DOI
Iqbal, M.; Stark, D.; Gimperlein, H.; Mohamed, M. S.; Laghrouche, O. Local adaptive \(q\)-enrichments and generalized finite elements for transient heat diffusion problems. (English) Zbl 1506.74409 Comput. Methods Appl. Mech. Eng. 372, Article ID 113359, 18 p. (2020). MSC: 74S05 65M60 74A15 PDFBibTeX XMLCite \textit{M. Iqbal} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113359, 18 p. (2020; Zbl 1506.74409) Full Text: DOI
Fernandes, Jeferson Wilian Dossa; Barbarulo, Andrea; Ben Dhia, Hachmi; Sanches, Rodolfo André Kuche A residual-based stabilized finite element formulation for incompressible flow problems in the Arlequin framework. (English) Zbl 1506.76073 Comput. Methods Appl. Mech. Eng. 370, Article ID 113073, 30 p. (2020). MSC: 76M10 65N30 76D99 PDFBibTeX XMLCite \textit{J. W. D. Fernandes} et al., Comput. Methods Appl. Mech. Eng. 370, Article ID 113073, 30 p. (2020; Zbl 1506.76073) Full Text: DOI
Wu, Chao; Huang, Yunqing; Yuan, Jinyun Superconvergence of the second order cubic edge elements with Maxwell’s equations. (English) Zbl 1472.65149 Appl. Math. Comput. 387, Article ID 124410, 14 p. (2020). MSC: 65N30 65N12 78M10 PDFBibTeX XMLCite \textit{C. Wu} et al., Appl. Math. Comput. 387, Article ID 124410, 14 p. (2020; Zbl 1472.65149) Full Text: DOI
Lin, Shan; Zheng, Hong; Jiang, Wei; Li, Wei; Sun, Guanhua Investigation of the excavation of stony soil slopes using the virtual element method. (English) Zbl 1464.74185 Eng. Anal. Bound. Elem. 121, 76-90 (2020). MSC: 74S05 65N30 74L10 PDFBibTeX XMLCite \textit{S. Lin} et al., Eng. Anal. Bound. Elem. 121, 76--90 (2020; Zbl 1464.74185) Full Text: DOI
Repin, S. I. Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm. (English. Russian original) Zbl 1450.35017 Comput. Math. Math. Phys. 60, No. 5, 749-765 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767-783 (2020). MSC: 35A35 65M15 35J25 PDFBibTeX XMLCite \textit{S. I. Repin}, Comput. Math. Math. Phys. 60, No. 5, 749--765 (2020; Zbl 1450.35017); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767--783 (2020) Full Text: DOI
Evangelista, Francisco jun.; Alves, Gelson de Sousa; Moreira, José Fabiano Araújo; de Paiva, Guilherme Oliveira Ferraz A global-local strategy with the generalized finite element framework for continuum damage models. (English) Zbl 1436.74066 Comput. Methods Appl. Mech. Eng. 363, Article ID 112888, 20 p. (2020). MSC: 74S05 65N30 74A45 PDFBibTeX XMLCite \textit{F. Evangelista jun.} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112888, 20 p. (2020; Zbl 1436.74066) Full Text: DOI
Guo, Hailong Surface Crouzeix-Raviart element for the Laplace-Beltrami equation. (English) Zbl 1437.65188 Numer. Math. 144, No. 3, 527-551 (2020). MSC: 65N30 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{H. Guo}, Numer. Math. 144, No. 3, 527--551 (2020; Zbl 1437.65188) Full Text: DOI arXiv
Jing, Feifei; Han, Weimin; Zhang, Yongchao; Yan, Wenjing Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations. (English) Zbl 1440.65212 J. Comput. Appl. Math. 372, Article ID 112721, 16 p. (2020). MSC: 65N30 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{F. Jing} et al., J. Comput. Appl. Math. 372, Article ID 112721, 16 p. (2020; Zbl 1440.65212) Full Text: DOI
He, Wen-ming; Lin, Runchang; Zhang, Zhimin Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems. (English) Zbl 1434.65258 J. Comput. Appl. Math. 372, Article ID 112715, 19 p. (2020). MSC: 65N30 65N12 35J15 65B05 65M80 PDFBibTeX XMLCite \textit{W.-m. He} et al., J. Comput. Appl. Math. 372, Article ID 112715, 19 p. (2020; Zbl 1434.65258) Full Text: DOI
Deng, Quanling; Calo, Victor Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D. (English) Zbl 1433.65268 J. Comput. Appl. Math. 368, Article ID 112558, 15 p. (2020). MSC: 65N25 65N30 35J15 35P15 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{V. Calo}, J. Comput. Appl. Math. 368, Article ID 112558, 15 p. (2020; Zbl 1433.65268) Full Text: DOI arXiv
Cavoretto, Roberto; De Rossi, Alessandra Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme. (English) Zbl 1433.65020 Appl. Math. Comput. 369, Article ID 124824, 18 p. (2020). MSC: 65D15 65M70 35J05 PDFBibTeX XMLCite \textit{R. Cavoretto} and \textit{A. De Rossi}, Appl. Math. Comput. 369, Article ID 124824, 18 p. (2020; Zbl 1433.65020) Full Text: DOI
Guo, Hailong; Yang, Xu; Zhu, Yi Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene. (English) Zbl 07581579 J. Comput. Phys. 379, 403-420 (2019). MSC: 65Nxx 74Sxx 35Jxx PDFBibTeX XMLCite \textit{H. Guo} et al., J. Comput. Phys. 379, 403--420 (2019; Zbl 07581579) Full Text: DOI arXiv
Hubrich, S.; Düster, A. Numerical integration for nonlinear problems of the finite cell method using an adaptive scheme based on moment fitting. (English) Zbl 1442.65024 Comput. Math. Appl. 77, No. 7, 1983-1997 (2019). MSC: 65D30 PDFBibTeX XMLCite \textit{S. Hubrich} and \textit{A. Düster}, Comput. Math. Appl. 77, No. 7, 1983--1997 (2019; Zbl 1442.65024) Full Text: DOI
Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A. A unified enrichment approach addressing blending and conditioning issues in enriched finite elements. (English) Zbl 1441.65088 Comput. Methods Appl. Mech. Eng. 349, 673-700 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{K. Agathos} et al., Comput. Methods Appl. Mech. Eng. 349, 673--700 (2019; Zbl 1441.65088) Full Text: DOI
Beck, Joakim; Tamellini, Lorenzo; Tempone, Raúl IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains. (English) Zbl 1441.65092 Comput. Methods Appl. Mech. Eng. 351, 330-350 (2019). MSC: 65N30 65D07 65N75 PDFBibTeX XMLCite \textit{J. Beck} et al., Comput. Methods Appl. Mech. Eng. 351, 330--350 (2019; Zbl 1441.65092) Full Text: DOI arXiv Link
Bulling, Jannis; Gravenkamp, Hauke; Birk, Carolin A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment. (English) Zbl 1441.74232 Comput. Methods Appl. Mech. Eng. 355, 135-156 (2019). MSC: 74S05 65N30 74G70 PDFBibTeX XMLCite \textit{J. Bulling} et al., Comput. Methods Appl. Mech. Eng. 355, 135--156 (2019; Zbl 1441.74232) Full Text: DOI
Joshaghani, M. S.; Joodat, S. H. S.; Nakshatrala, K. B. A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model. (English) Zbl 1441.76062 Comput. Methods Appl. Mech. Eng. 352, 508-560 (2019). MSC: 76M10 65N30 74F10 76S05 PDFBibTeX XMLCite \textit{M. S. Joshaghani} et al., Comput. Methods Appl. Mech. Eng. 352, 508--560 (2019; Zbl 1441.76062) Full Text: DOI arXiv
Liu, Yanan; Liu, Yinghua; Ding, Keqin A structured grid based B-spline finite elements method combining local isogeometry analysis technique for crack problems. (English) Zbl 1440.74419 Comput. Methods Appl. Mech. Eng. 348, 753-775 (2019). MSC: 74S05 65N30 65D07 74R10 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Methods Appl. Mech. Eng. 348, 753--775 (2019; Zbl 1440.74419) Full Text: DOI
Sanchez-Rivadeneira, A. G.; Duarte, C. A. A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics. (English) Zbl 1440.74438 Comput. Methods Appl. Mech. Eng. 345, 876-918 (2019). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{A. G. Sanchez-Rivadeneira} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 345, 876--918 (2019; Zbl 1440.74438) Full Text: DOI
Abedian, Alireza; Düster, Alexander Equivalent Legendre polynomials: numerical integration of discontinuous functions in the finite element methods. (English) Zbl 1440.65166 Comput. Methods Appl. Mech. Eng. 343, 690-720 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Abedian} and \textit{A. Düster}, Comput. Methods Appl. Mech. Eng. 343, 690--720 (2019; Zbl 1440.65166) Full Text: DOI
Zhang, Yidan; Huang, Yunqing; Yi, Nianyu Superconvergence of the Crouzeix-Raviart element for elliptic equation. (English) Zbl 1435.65215 Adv. Comput. Math. 45, No. 5-6, 2833-2844 (2019). MSC: 65N30 65N15 35J15 65N12 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Adv. Comput. Math. 45, No. 5--6, 2833--2844 (2019; Zbl 1435.65215) Full Text: DOI
Zhang, Hongwu; Li, Hui; Ye, Hongfei; Zheng, Yonggang; Zhang, Yixiong A coupling extended multiscale finite element and peridynamic method for modeling of crack propagation in solids. (English) Zbl 1428.74197 Acta Mech. 230, No. 10, 3667-3692 (2019). MSC: 74R10 74S05 74S99 PDFBibTeX XMLCite \textit{H. Zhang} et al., Acta Mech. 230, No. 10, 3667--3692 (2019; Zbl 1428.74197) Full Text: DOI
Guo, Hailong; Xie, Cong; Zhao, Ren Superconvergent gradient recovery for virtual element methods. (English) Zbl 1427.65360 Math. Models Methods Appl. Sci. 29, No. 11, 2007-2031 (2019). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{H. Guo} et al., Math. Models Methods Appl. Sci. 29, No. 11, 2007--2031 (2019; Zbl 1427.65360) Full Text: DOI arXiv
Wang, Ruishu; Zhang, Ran; Wang, Xiuli; Jia, Jiwei Polynomial preserving recovery for a class of weak Galerkin finite element methods. (English) Zbl 1418.65186 J. Comput. Appl. Math. 362, 528-539 (2019). MSC: 65N30 65N15 65N12 35J50 35B45 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Comput. Appl. Math. 362, 528--539 (2019; Zbl 1418.65186) Full Text: DOI
Zhou, Y. C.; Gupta, Varun Interface solutions of partial differential equations with point singularity. (English) Zbl 1451.74039 J. Comput. Appl. Math. 362, 400-409 (2019). MSC: 74A45 35Q74 35B65 74B05 PDFBibTeX XMLCite \textit{Y. C. Zhou} and \textit{V. Gupta}, J. Comput. Appl. Math. 362, 400--409 (2019; Zbl 1451.74039) Full Text: DOI Link
Cavoretto, R.; De Rossi, A. Adaptive meshless refinement schemes for RBF-PUM collocation. (English) Zbl 1419.65132 Appl. Math. Lett. 90, 131-138 (2019). Reviewer: Eric Chung (Hong Kong) MSC: 65N35 65N15 35J25 PDFBibTeX XMLCite \textit{R. Cavoretto} and \textit{A. De Rossi}, Appl. Math. Lett. 90, 131--138 (2019; Zbl 1419.65132) Full Text: DOI arXiv
Joodat, S. H. S.; Nakshatrala, K. B.; Ballarini, R. Modeling flow in porous media with double porosity/permeability: a stabilized mixed formulation, error analysis, and numerical solutions. (English) Zbl 1440.76144 Comput. Methods Appl. Mech. Eng. 337, 632-676 (2018). MSC: 76S05 74F10 PDFBibTeX XMLCite \textit{S. H. S. Joodat} et al., Comput. Methods Appl. Mech. Eng. 337, 632--676 (2018; Zbl 1440.76144) Full Text: DOI arXiv
Chamoin, Ludovic; Legoll, Frédéric A posteriori error estimation and adaptive strategy for the control of MsFEM computations. (English) Zbl 1440.65191 Comput. Methods Appl. Mech. Eng. 336, 1-38 (2018). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, Comput. Methods Appl. Mech. Eng. 336, 1--38 (2018; Zbl 1440.65191) Full Text: DOI arXiv
Huang, Yunqing; Li, Jichun; Wu, Chao Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations. (English) Zbl 1439.65174 Comput. Methods Appl. Mech. Eng. 329, 195-218 (2018). MSC: 65N30 35Q61 65N12 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Methods Appl. Mech. Eng. 329, 195--218 (2018; Zbl 1439.65174) Full Text: DOI
Duval, M.; Lozinski, A.; Passieux, J. C.; Salaün, M. Residual error based adaptive mesh refinement with the non-intrusive patch algorithm. (English) Zbl 1439.65159 Comput. Methods Appl. Mech. Eng. 329, 118-143 (2018). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{M. Duval} et al., Comput. Methods Appl. Mech. Eng. 329, 118--143 (2018; Zbl 1439.65159) Full Text: DOI Link
Bi, Chunjia; Wang, Cheng; Lin, Yanping Two-grid finite element method and its a posteriori error estimates for a nonmonotone quasilinear elliptic problem under minimal regularity of data. (English) Zbl 1419.65104 Comput. Math. Appl. 76, No. 1, 98-112 (2018). MSC: 65N30 65N15 35J62 65N55 PDFBibTeX XMLCite \textit{C. Bi} et al., Comput. Math. Appl. 76, No. 1, 98--112 (2018; Zbl 1419.65104) Full Text: DOI
Zhang, Tao; Li, Xiaolin A generalized element-free Galerkin method for Stokes problem. (English) Zbl 1409.76069 Comput. Math. Appl. 75, No. 9, 3127-3138 (2018). MSC: 76M10 65N30 35Q35 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{X. Li}, Comput. Math. Appl. 75, No. 9, 3127--3138 (2018; Zbl 1409.76069) Full Text: DOI
Elruby, A. Y.; Nakhla, Sam; Hussein, A. Automating XFEM modeling process for optimal failure predictions. (English) Zbl 1426.74288 Math. Probl. Eng. 2018, Article ID 1654751, 14 p. (2018). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{A. Y. Elruby} et al., Math. Probl. Eng. 2018, Article ID 1654751, 14 p. (2018; Zbl 1426.74288) Full Text: DOI
Malekan, Mohammad; Barros, Felício B. Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method. (English) Zbl 1459.74175 Comput. Mech. 62, No. 4, 783-801 (2018). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{M. Malekan} and \textit{F. B. Barros}, Comput. Mech. 62, No. 4, 783--801 (2018; Zbl 1459.74175) Full Text: DOI
Wu, Zhijun; Xu, Xiangyu; Liu, Quanshen; Yang, Yongtao A zero-thickness cohesive element-based numerical manifold method for rock mechanical behavior with micro-Voronoi grains. (English) Zbl 1403.74059 Eng. Anal. Bound. Elem. 96, 94-108 (2018). MSC: 74L10 74S05 86A60 PDFBibTeX XMLCite \textit{Z. Wu} et al., Eng. Anal. Bound. Elem. 96, 94--108 (2018; Zbl 1403.74059) Full Text: DOI
Zheng, Hong; Nie, Zhibao; Li, Chunguang A package program for corner issue in BEM. (English) Zbl 1403.74268 Eng. Anal. Bound. Elem. 91, 92-102 (2018). MSC: 74S15 65N38 PDFBibTeX XMLCite \textit{H. Zheng} et al., Eng. Anal. Bound. Elem. 91, 92--102 (2018; Zbl 1403.74268) Full Text: DOI
Bhowmick, Sauradeep; Liu, Gui Rong On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order. (English) Zbl 1403.74098 Eng. Anal. Bound. Elem. 86, 64-81 (2018). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{S. Bhowmick} and \textit{G. R. Liu}, Eng. Anal. Bound. Elem. 86, 64--81 (2018; Zbl 1403.74098) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi Modal spectral element method in curvilinear domains. (English) Zbl 1393.65034 Appl. Numer. Math. 128, 157-182 (2018). MSC: 65M70 65M06 35L45 65T50 65M12 35Q79 35Q60 35R09 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Appl. Numer. Math. 128, 157--182 (2018; Zbl 1393.65034) Full Text: DOI
Baccouch, Mahboub Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1380.65246 J. Comput. Appl. Math. 333, 292-313 (2018). MSC: 65M60 35L70 65M12 65M15 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Comput. Appl. Math. 333, 292--313 (2018; Zbl 1380.65246) Full Text: DOI
Banerjee, Subhajit; Sukumar, N. Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem. (English) Zbl 1439.78016 Comput. Methods Appl. Mech. Eng. 317, 619-648 (2017). MSC: 78M10 65N30 74J20 76Q05 76M10 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{N. Sukumar}, Comput. Methods Appl. Mech. Eng. 317, 619--648 (2017; Zbl 1439.78016) Full Text: DOI
Kumar, Mukesh; Kvamsdal, Trond; Johannessen, Kjetil André Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis. (English) Zbl 1439.74437 Comput. Methods Appl. Mech. Eng. 316, 1086-1156 (2017). MSC: 74S05 65N30 65D07 65N15 65N50 PDFBibTeX XMLCite \textit{M. Kumar} et al., Comput. Methods Appl. Mech. Eng. 316, 1086--1156 (2017; Zbl 1439.74437) Full Text: DOI
Peng, X.; Atroshchenko, E.; Kerfriden, P.; Bordas, S. P. A. Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth. (English) Zbl 1439.74370 Comput. Methods Appl. Mech. Eng. 316, 151-185 (2017). MSC: 74R10 74S15 65D07 65N38 PDFBibTeX XMLCite \textit{X. Peng} et al., Comput. Methods Appl. Mech. Eng. 316, 151--185 (2017; Zbl 1439.74370) Full Text: DOI Link
Angoshtari, Arzhang; Faghih Shojaei, Mostafa; Yavari, Arash Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity. (English) Zbl 1439.74383 Comput. Methods Appl. Mech. Eng. 313, 596-631 (2017). MSC: 74S05 65N30 74B20 PDFBibTeX XMLCite \textit{A. Angoshtari} et al., Comput. Methods Appl. Mech. Eng. 313, 596--631 (2017; Zbl 1439.74383) Full Text: DOI
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun Improved ZZ a posteriori error estimators for diffusion problems: conforming linear elements. (English) Zbl 1439.65153 Comput. Methods Appl. Mech. Eng. 313, 433-449 (2017). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Cai} et al., Comput. Methods Appl. Mech. Eng. 313, 433--449 (2017; Zbl 1439.65153) Full Text: DOI arXiv
Guo, Mengwu; Zhong, Hongzhi Strict upper and lower bounds for quantities of interest in static response sensitivity analysis. (English) Zbl 1480.74079 Appl. Math. Modelling 49, 17-34 (2017). MSC: 74G15 65N30 PDFBibTeX XMLCite \textit{M. Guo} and \textit{H. Zhong}, Appl. Math. Modelling 49, 17--34 (2017; Zbl 1480.74079) Full Text: DOI arXiv
Guo, Hailong; Yang, Xu Gradient recovery for elliptic interface problem. II: Immersed finite element methods. (English) Zbl 1415.65256 J. Comput. Phys. 338, 606-619 (2017). MSC: 65N30 35J57 35R05 65N15 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, J. Comput. Phys. 338, 606--619 (2017; Zbl 1415.65256) Full Text: DOI arXiv
Zhang, Tong; Li, ShiShun A posteriori error estimates of finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 1426.76321 Appl. Math. Comput. 315, 13-26 (2017). MSC: 76M10 65M15 65M60 76D05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{S. Li}, Appl. Math. Comput. 315, 13--26 (2017; Zbl 1426.76321) Full Text: DOI
Hong, Won-Tak A non-convex partition of unity and stress analysis of a cracked elastic medium. (English) Zbl 1446.74071 Adv. Math. Phys. 2017, Article ID 9574341, 9 p. (2017). MSC: 74A10 74B05 PDFBibTeX XMLCite \textit{W.-T. Hong}, Adv. Math. Phys. 2017, Article ID 9574341, 9 p. (2017; Zbl 1446.74071) Full Text: DOI
Zhu, Hehua; Sun, Pan; Cai, Yongchang Independent cover meshless method for the simulation of multiple crack growth with arbitrary incremental steps and directions. (English) Zbl 1403.74094 Eng. Anal. Bound. Elem. 83, 242-255 (2017). MSC: 74R10 PDFBibTeX XMLCite \textit{H. Zhu} et al., Eng. Anal. Bound. Elem. 83, 242--255 (2017; Zbl 1403.74094) Full Text: DOI
Hou, Thomas Y.; Zhang, Pengchuan Sparse operator compression of higher-order elliptic operators with rough coefficients. (English) Zbl 1412.65215 Res. Math. Sci. 4, Paper No. 24, 49 p. (2017). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N12 65J10 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{P. Zhang}, Res. Math. Sci. 4, Paper No. 24, 49 p. (2017; Zbl 1412.65215) Full Text: DOI arXiv
Hubrich, Simeon; Di Stolfo, Paolo; Kudela, László; Kollmannsberger, Stefan; Rank, Ernst; Schröder, Andreas; Düster, Alexander Numerical integration of discontinuous functions: moment fitting and smart octree. (English) Zbl 1387.65025 Comput. Mech. 60, No. 5, 863-881 (2017). MSC: 65D30 65D32 PDFBibTeX XMLCite \textit{S. Hubrich} et al., Comput. Mech. 60, No. 5, 863--881 (2017; Zbl 1387.65025) Full Text: DOI
Weymuth, Monika; Sauter, Stefan; Repin, Sergey A posteriori modelling-discretization error estimate for elliptic problems with \(L^\infty\)-coefficients. (English) Zbl 1380.65391 Comput. Methods Appl. Math. 17, No. 3, 515-531 (2017). MSC: 65N30 65N15 35J25 35R05 PDFBibTeX XMLCite \textit{M. Weymuth} et al., Comput. Methods Appl. Math. 17, No. 3, 515--531 (2017; Zbl 1380.65391) Full Text: DOI arXiv
Rajesh Kannan, M. \(P\)-proper splittings. (English) Zbl 1377.15005 Aequationes Math. 91, No. 4, 619-633 (2017). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 15A09 65F10 65F20 PDFBibTeX XMLCite \textit{M. Rajesh Kannan}, Aequationes Math. 91, No. 4, 619--633 (2017; Zbl 1377.15005) Full Text: DOI
Jando, Dörte Efficient goal-oriented global error estimators for BDF methods using discrete adjoints. (English) Zbl 1372.65206 J. Comput. Appl. Math. 316, 195-212 (2017). MSC: 65L05 65L06 65L60 65L20 65L70 PDFBibTeX XMLCite \textit{D. Jando}, J. Comput. Appl. Math. 316, 195--212 (2017; Zbl 1372.65206) Full Text: DOI
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod, a simulation technique designed for arbitrary local modifications. (English) Zbl 1369.65160 SIAM J. Sci. Comput. 39, No. 4, A1435-A1465 (2017). MSC: 65N55 65N30 PDFBibTeX XMLCite \textit{A. Buhr} et al., SIAM J. Sci. Comput. 39, No. 4, A1435--A1465 (2017; Zbl 1369.65160) Full Text: DOI arXiv
Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan Exploring the locally low dimensional structure in solving random elliptic PDEs. (English) Zbl 1365.65015 Multiscale Model. Simul. 15, No. 2, 661-695 (2017). MSC: 65C30 60H15 60H35 35R60 65N30 65N35 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 15, No. 2, 661--695 (2017; Zbl 1365.65015) Full Text: DOI arXiv
Irisarri, Diego; Hauke, Guillermo A posteriori pointwise error computation for 2-D transport equations based on the variational multiscale method. (English) Zbl 1439.65175 Comput. Methods Appl. Mech. Eng. 311, 648-670 (2016). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{D. Irisarri} and \textit{G. Hauke}, Comput. Methods Appl. Mech. Eng. 311, 648--670 (2016; Zbl 1439.65175) Full Text: DOI Link
Lu, Mengkai; Zhang, Hongwu; Zheng, Yonggang; Zhang, Liang A multiscale finite element method with embedded strong discontinuity model for the simulation of cohesive cracks in solids. (English) Zbl 1439.74363 Comput. Methods Appl. Mech. Eng. 311, 576-598 (2016). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{M. Lu} et al., Comput. Methods Appl. Mech. Eng. 311, 576--598 (2016; Zbl 1439.74363) Full Text: DOI
Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities. (English) Zbl 1439.74479 Comput. Methods Appl. Mech. Eng. 311, 476-502 (2016). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 311, 476--502 (2016; Zbl 1439.74479) Full Text: DOI