Kang, Ge; Ni, Ke-song; Zhuang, Xiaoying; Rabczuk, Timon; Ning, You-jun; Chen, Peng-wan Enrichment of three-dimensional numerical manifold method with cover-based contact theory for static and dynamic mechanical response analysis. (English) Zbl 1525.74179 Appl. Math. Modelling 122, 524-554 (2023). MSC: 74R10 74S05 65M60 PDFBibTeX XMLCite \textit{G. Kang} et al., Appl. Math. Modelling 122, 524--554 (2023; Zbl 1525.74179) Full Text: DOI
Mola, Andrea; Giuliani, Nicola; Crego, Óscar; Rozza, Gianluigi A unified steady and unsteady formulation for hydrodynamic potential flow simulations with fully nonlinear free surface boundary conditions. (English) Zbl 1525.76014 Appl. Math. Modelling 122, 322-349 (2023). MSC: 76B07 65N30 PDFBibTeX XMLCite \textit{A. Mola} et al., Appl. Math. Modelling 122, 322--349 (2023; Zbl 1525.76014) Full Text: DOI arXiv
Li, Huan; Jiang, Haitao; Yang, Wencai An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials. (English) Zbl 1525.65123 Appl. Math. Modelling 122, 60-98 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{H. Li} et al., Appl. Math. Modelling 122, 60--98 (2023; Zbl 1525.65123) Full Text: DOI
Li, Meng; Li, Yifei; Pei, Lifang A symmetrized parametric finite element method for simulating solid-state dewetting problems. (English) Zbl 1525.65124 Appl. Math. Modelling 121, 731-750 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{M. Li} et al., Appl. Math. Modelling 121, 731--750 (2023; Zbl 1525.65124) Full Text: DOI
Wang, Liqun; Wang, Zhijie; Lu, Xin; Shi, Liwei Novel applications of local optimization semi-Cartesian grid for the complex band structure analysis of phononic crystals. (English) Zbl 1525.65129 Appl. Math. Modelling 121, 631-652 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Modelling 121, 631--652 (2023; Zbl 1525.65129) Full Text: DOI
Shi, K.; Hu, X. S.; Mo, X. Q.; Xu, H.; Wang, Z. L.; Ma, W. R.; Yang, Y. B. Theory for computing vehicle-rail contact responses from a multi-DOF test vehicle and detecting track modulus and rail damages. (English) Zbl 1525.70044 Appl. Math. Modelling 121, 403-429 (2023). MSC: 70Q99 65M60 PDFBibTeX XMLCite \textit{K. Shi} et al., Appl. Math. Modelling 121, 403--429 (2023; Zbl 1525.70044) Full Text: DOI
Wen, Huabin; Yang, Yiren; Li, Yundong; Tao, Jing Three-dimensional vibration analysis of curved pipes conveying fluid by straight pipe-curve fluid element. (English) Zbl 1525.74195 Appl. Math. Modelling 121, 270-303 (2023). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{H. Wen} et al., Appl. Math. Modelling 121, 270--303 (2023; Zbl 1525.74195) Full Text: DOI
Li, Wenxiong; Chen, Suiyin An improved model order reduction method for dynamic analysis of large-scale structures with local nonlinearities. (English) Zbl 1525.65034 Appl. Math. Modelling 120, 786-811 (2023). MSC: 65F25 65F50 65M60 PDFBibTeX XMLCite \textit{W. Li} and \textit{S. Chen}, Appl. Math. Modelling 120, 786--811 (2023; Zbl 1525.65034) Full Text: DOI
Aung, Thein Lin; Ma, Ninshu; Kishida, Kinzo; Lu, Fenggui Unified inverse isogeometric analysis and distributed fiber optic strain sensing for monitoring structure deformation and stress. (English) Zbl 1525.65091 Appl. Math. Modelling 120, 733-751 (2023). MSC: 65M60 65D18 74S22 PDFBibTeX XMLCite \textit{T. L. Aung} et al., Appl. Math. Modelling 120, 733--751 (2023; Zbl 1525.65091) Full Text: DOI
Gao, Yun; Liu, Lei; Fu, Shixiao; Chai, Shenglin; Shi, Chen Nonlinear dynamics of a vertical pipe subjected to a two-phase, solid-liquid internal flow. (English) Zbl 1525.76102 Appl. Math. Modelling 120, 651-666 (2023). MSC: 76T20 65M60 PDFBibTeX XMLCite \textit{Y. Gao} et al., Appl. Math. Modelling 120, 651--666 (2023; Zbl 1525.76102) Full Text: DOI
Pei, Xiaohui; Du, Jingli; Chen, Guimin Accelerated nonlinear finite element method for analysis of isotropic hyperelastic materials nonlinear deformations. (English) Zbl 1525.65096 Appl. Math. Modelling 120, 513-534 (2023). MSC: 65M60 74S05 PDFBibTeX XMLCite \textit{X. Pei} et al., Appl. Math. Modelling 120, 513--534 (2023; Zbl 1525.65096) Full Text: DOI
Jia, Wenchao; Chen, Meixia; Xie, Kun; Zhou, Zhiwei Theoretical and experimental studies of effects of non-axisymmetric inner structures on vibration signatures of axisymmetric submarine hulls. (English) Zbl 1525.74085 Appl. Math. Modelling 120, 485-512 (2023). MSC: 74H45 65M60 PDFBibTeX XMLCite \textit{W. Jia} et al., Appl. Math. Modelling 120, 485--512 (2023; Zbl 1525.74085) Full Text: DOI
Oka, Tomoyuki; Misawa, Ryota; Yamada, Takayuki Nesterov’s acceleration for level set-based topology optimization using reaction-diffusion equations. (English) Zbl 1525.35222 Appl. Math. Modelling 120, 57-78 (2023). MSC: 35Q93 80M50 47J35 65M60 PDFBibTeX XMLCite \textit{T. Oka} et al., Appl. Math. Modelling 120, 57--78 (2023; Zbl 1525.35222) Full Text: DOI arXiv
Sun, Pan; Zhao, Xielin; Yu, Xiaofei; Huang, Qian; Feng, Zhipeng; Zhou, Jinxiong Incremental harmonic balance method for multi-harmonic solution of high-dimensional delay differential equations: application to crossflow-induced nonlinear vibration of steam generator tubes. (English) Zbl 1510.65134 Appl. Math. Modelling 118, 818-831 (2023). MSC: 65L03 65L06 65M60 PDFBibTeX XMLCite \textit{P. Sun} et al., Appl. Math. Modelling 118, 818--831 (2023; Zbl 1510.65134) Full Text: DOI
Tan, Xing; Chen, Weiting; He, Jincheng; Wang, Tao; Chen, Guoping; He, Huan Benchmark solutions for the dynamic analysis of general rotor-bearing system with arbitrary linear boundary conditions. (English) Zbl 1510.70077 Appl. Math. Modelling 118, 709-727 (2023). MSC: 70Q99 65M60 74H45 74H10 PDFBibTeX XMLCite \textit{X. Tan} et al., Appl. Math. Modelling 118, 709--727 (2023; Zbl 1510.70077) Full Text: DOI
Li, Xudong; Xue, Lei; Chen, Rongli; Dong, Haijie; Li, Yong; Wang, Shuo; Pan, Yudong; Chen, Zhenmao Numerical method and experimental validation of the magneto-thermal-mechanical coupling problem with application to tokamak structures. (English) Zbl 1510.76219 Appl. Math. Modelling 118, 474-501 (2023). MSC: 76X05 78A55 65M38 65M60 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Modelling 118, 474--501 (2023; Zbl 1510.76219) Full Text: DOI
Qu, Peng-Fei; Zhu, Qi-Zhi; Zhang, Li-Mao; Li, Wei-Jian; Ni, Tao; You, Tao Numerical investigation of plastic strain localization for rock-like materials in the framework of fractional plasticity. (English) Zbl 1510.74086 Appl. Math. Modelling 118, 437-452 (2023). MSC: 74L10 65M60 PDFBibTeX XMLCite \textit{P.-F. Qu} et al., Appl. Math. Modelling 118, 437--452 (2023; Zbl 1510.74086) Full Text: DOI
Deng, Feng; Yu, Wenshan; Liang, Xu; Shen, Shengping A mixed finite element method for large deformation of flexoelectric materials. (English) Zbl 1524.74413 Appl. Math. Modelling 118, 303-321 (2023). MSC: 74S05 65M60 78A48 74F15 PDFBibTeX XMLCite \textit{F. Deng} et al., Appl. Math. Modelling 118, 303--321 (2023; Zbl 1524.74413) Full Text: DOI
Mao, Jia-Jia; Wang, Ying-Jie; Zhang, Wei; Wu, M. Q.; Liu, Y. Z.; Liu, Xiao-Hong Vibration and wave propagation in functionally graded beams with inclined cracks. (English) Zbl 1510.74073 Appl. Math. Modelling 118, 166-184 (2023). MSC: 74K10 65M60 PDFBibTeX XMLCite \textit{J.-J. Mao} et al., Appl. Math. Modelling 118, 166--184 (2023; Zbl 1510.74073) Full Text: DOI
Peixoto, Rodrigo Guerra; de Paulo de Souza, Lucas A cell-less boundary element method for a two-step thermoelastic analysis. (English) Zbl 1510.65297 Appl. Math. Modelling 115, 173-190 (2023). MSC: 65N30 45B05 74F05 PDFBibTeX XMLCite \textit{R. G. Peixoto} and \textit{L. de Paulo de Souza}, Appl. Math. Modelling 115, 173--190 (2023; Zbl 1510.65297) Full Text: DOI
Ying, Jinyong; Liu, Jiaxuan; Chen, Jiaxin; Cao, Shen; Hou, Muzhou; Chen, Yinghao Multi-scale fusion network: a new deep learning structure for elliptic interface problems. (English) Zbl 1516.65143 Appl. Math. Modelling 114, 252-269 (2023). MSC: 65N30 68T07 78A30 35Q60 35Q20 35R02 PDFBibTeX XMLCite \textit{J. Ying} et al., Appl. Math. Modelling 114, 252--269 (2023; Zbl 1516.65143) Full Text: DOI
Cai, Shuo; Li, D. M.; Xie, Jia-xuan A complex variable EFG method for hyperelastic large deformation analysis under non-conservative loads. (English) Zbl 1505.65289 Appl. Math. Modelling 113, 596-612 (2023). MSC: 65N30 74B20 PDFBibTeX XMLCite \textit{S. Cai} et al., Appl. Math. Modelling 113, 596--612 (2023; Zbl 1505.65289) Full Text: DOI
Bermúdez, A.; Crego, O.; Prieto, A. Upwind finite element-PML approximation of a novel linear potential model for free surface flows produced by a floating rigid body. (English) Zbl 1525.76061 Appl. Math. Modelling 103, 824-853 (2022). MSC: 76M10 76B15 76B07 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., Appl. Math. Modelling 103, 824--853 (2022; Zbl 1525.76061) Full Text: DOI
Han, Xiaojing; Pagnacco, Emmanuel Response EPSD of chain-like MDOF nonlinear structural systems via wavelet-Galerkin method. (English) Zbl 1525.70039 Appl. Math. Modelling 103, 475-492 (2022). MSC: 70L05 42C40 65T60 65L60 PDFBibTeX XMLCite \textit{X. Han} and \textit{E. Pagnacco}, Appl. Math. Modelling 103, 475--492 (2022; Zbl 1525.70039) Full Text: DOI
Alrdadi, Raed; Meylan, Michael H. Modelling water flow through railway ballast with random permeability and a free boundary. (English) Zbl 1525.76091 Appl. Math. Modelling 103, 36-50 (2022). MSC: 76S05 65N30 PDFBibTeX XMLCite \textit{R. Alrdadi} and \textit{M. H. Meylan}, Appl. Math. Modelling 103, 36--50 (2022; Zbl 1525.76091) Full Text: DOI
Jia, Yabo; Saadlaoui, Yassine; Roux, Jean-Christophe; Bergheau, Jean-Michel Steady-state thermal model based on new dedicated boundary conditions – application in the simulation of laser powder bed fusion process. (English) Zbl 1505.65265 Appl. Math. Modelling 112, 749-766 (2022). MSC: 65M60 35Q79 82M10 PDFBibTeX XMLCite \textit{Y. Jia} et al., Appl. Math. Modelling 112, 749--766 (2022; Zbl 1505.65265) Full Text: DOI
Yu, Bo; Hu, Pengmin; Wei, Peng; Cao, Geyong; Wang, Baozheng The identification of voids and inclusions based on the parameter level set method using boundary data. (English) Zbl 1505.65298 Appl. Math. Modelling 112, 505-539 (2022). MSC: 65N30 35R30 74P10 80A19 PDFBibTeX XMLCite \textit{B. Yu} et al., Appl. Math. Modelling 112, 505--539 (2022; Zbl 1505.65298) Full Text: DOI
He, Wenlong; Ge, Zhihao A new mixed finite element method for a swelling clay model with secondary consolidation. (English) Zbl 1505.65292 Appl. Math. Modelling 112, 391-414 (2022). MSC: 65N30 74F10 PDFBibTeX XMLCite \textit{W. He} and \textit{Z. Ge}, Appl. Math. Modelling 112, 391--414 (2022; Zbl 1505.65292) Full Text: DOI
Chen, Junwei; Zhou, Xiaoping; Zhou, Jiannan The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems. (English) Zbl 1505.65290 Appl. Math. Modelling 112, 168-198 (2022). MSC: 65N30 74H45 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Math. Modelling 112, 168--198 (2022; Zbl 1505.65290) Full Text: DOI
Fisk, Martin; Ristinmaa, Matti; Hultkrantz, Andreas; Lindgren, Lars-Erik Coupled electromagnetic-thermal solution strategy for induction heating of ferromagnetic materials. (English) Zbl 1505.78019 Appl. Math. Modelling 111, 818-835 (2022). MSC: 78A55 78M10 PDFBibTeX XMLCite \textit{M. Fisk} et al., Appl. Math. Modelling 111, 818--835 (2022; Zbl 1505.78019) Full Text: DOI
Thompson, James A.; Berry, Lewis; Southern, Stuart; Walls, William K.; Holmes, Marc A.; Brown, Stephen G. R. The effect of mesh discretisation on damage and wear predictions using the discrete element method. (English) Zbl 1505.74188 Appl. Math. Modelling 105, 690-710 (2022). MSC: 74R05 65N30 PDFBibTeX XMLCite \textit{J. A. Thompson} et al., Appl. Math. Modelling 105, 690--710 (2022; Zbl 1505.74188) Full Text: DOI
Hendy, Ahmed S.; Taha, T. R.; Suragan, D.; Zaky, Mahmoud A. An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential. (English) Zbl 1503.65229 Appl. Math. Modelling 108, 512-530 (2022). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{A. S. Hendy} et al., Appl. Math. Modelling 108, 512--530 (2022; Zbl 1503.65229) Full Text: DOI
Li, Ji; Cao, Zhixian; Borthwick, Alistair G. L. Quantifying multiple uncertainties in modelling shallow water-sediment flows: a stochastic Galerkin framework with Haar wavelet expansion and an operator-splitting approach. (English) Zbl 1503.76015 Appl. Math. Modelling 106, 259-275 (2022). MSC: 76B15 65M60 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Modelling 106, 259--275 (2022; Zbl 1503.76015) Full Text: DOI
Lu, Hanjing; Rui, Xiaoting; Ding, Yuanyuan; Chang, Yu; Chen, Yiheng; Ding, Jianguo; Zhang, Xuping A hybrid numerical method for vibration analysis of linear multibody systems with flexible components. (English) Zbl 1481.70039 Appl. Math. Modelling 101, 748-771 (2022). MSC: 70E55 65N30 65N99 PDFBibTeX XMLCite \textit{H. Lu} et al., Appl. Math. Modelling 101, 748--771 (2022; Zbl 1481.70039) Full Text: DOI
Zhang, Fan; Liu, Tiegang; Liu, Moubin A third-order weighted variational reconstructed discontinuous Galerkin method for solving incompressible flows. (English) Zbl 1481.76073 Appl. Math. Modelling 91, 1037-1060 (2021). MSC: 76D05 65M60 PDFBibTeX XMLCite \textit{F. Zhang} et al., Appl. Math. Modelling 91, 1037--1060 (2021; Zbl 1481.76073) Full Text: DOI
Wu, Zhifeng; Huang, Bin; Chen, Hui; Zhang, Heng A new homotopy approach for stochastic static model updating with large uncertain measurement errors. (English) Zbl 1481.74716 Appl. Math. Modelling 98, 758-782 (2021). MSC: 74S60 62F15 62P30 65N30 PDFBibTeX XMLCite \textit{Z. Wu} et al., Appl. Math. Modelling 98, 758--782 (2021; Zbl 1481.74716) Full Text: DOI
Wang, Liqun; Zheng, Hui; Zhao, Meiling; Shi, Liwei; Hou, Songming Petrov-Galerkin method for the band structure computation of anisotropic and piezoelectric phononic crystals. (English) Zbl 1481.74111 Appl. Math. Modelling 89, Part 2, 1090-1105 (2021). MSC: 74E10 74E15 65N30 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Modelling 89, Part 2, 1090--1105 (2021; Zbl 1481.74111) Full Text: DOI
Wang, Xiangyang; Qi, Huibo; Sun, Zhongyu; Bi, Junying; Hu, Lifen; Yang, Jingwen; Li, Dong A multiscale discrete-continuum mosaic method for nonlinear mechanical behaviors of periodic micro/nano-scale structures. (English) Zbl 1481.74596 Appl. Math. Modelling 93, 376-394 (2021). MSC: 74M25 65N30 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Modelling 93, 376--394 (2021; Zbl 1481.74596) Full Text: DOI
Nguyen, Du Dinh; Nguyen, Minh Ngoc; Duc, Nguyen Dinh; Rungamornrat, Jaroon; Bui, Tinh Quoc Enhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysis. (English) Zbl 1481.65230 Appl. Math. Modelling 93, 326-359 (2021). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{D. D. Nguyen} et al., Appl. Math. Modelling 93, 326--359 (2021; Zbl 1481.65230) Full Text: DOI
Dsouza, Shaima M.; Varghese, Tittu M.; Ooi, Ean Tat; Natarajan, Sundararajan; Bordas, Stéphane P. A. Treatment of multiple input uncertainties using the scaled boundary finite element method. (English) Zbl 1481.65224 Appl. Math. Modelling 99, 538-554 (2021). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{S. M. Dsouza} et al., Appl. Math. Modelling 99, 538--554 (2021; Zbl 1481.65224) Full Text: DOI
Kim, Wooram An improved implicit method with dissipation control capability: the simple generalized composite time integration algorithm. (English) Zbl 1481.70075 Appl. Math. Modelling 81, 910-930 (2020). MSC: 70J35 70J10 65L60 PDFBibTeX XMLCite \textit{W. Kim}, Appl. Math. Modelling 81, 910--930 (2020; Zbl 1481.70075) Full Text: DOI
Li, Chenlin; Guo, Huili; Tian, Xiaogeng; He, Tianhu Time-domain finite element method to generalized diffusion-elasticity problems with the concentration-dependent elastic constants and the diffusivity. (English) Zbl 1481.65186 Appl. Math. Modelling 87, 55-76 (2020). MSC: 65M60 74N25 PDFBibTeX XMLCite \textit{C. Li} et al., Appl. Math. Modelling 87, 55--76 (2020; Zbl 1481.65186) Full Text: DOI
Chai, Yingbin; Cheng, Cong; Li, Wei; Huang, Yu Retracted: A hybrid finite element-meshfree method based on partition of unity for transient wave propagation problems in homogeneous and inhomogeneous media. (English) Zbl 1481.74373 Appl. Math. Modelling 85, 192-209 (2020); retraction notice ibid. 98, 813 (2021). MSC: 74J05 65M60 PDFBibTeX XMLCite \textit{Y. Chai} et al., Appl. Math. Modelling 85, 192--209 (2020; Zbl 1481.74373) Full Text: DOI
Yang, H. S.; Dong, C. Y.; Wu, Y. H. Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM. (English) Zbl 1481.74503 Appl. Math. Modelling 84, 466-500 (2020). MSC: 74K20 65D07 65N30 74G60 PDFBibTeX XMLCite \textit{H. S. Yang} et al., Appl. Math. Modelling 84, 466--500 (2020; Zbl 1481.74503) Full Text: DOI
Yao, Lingyun; Jiang, Guoqi; Wu, Fei; Luo, Jinyu An optimized finite element method for the analysis of 3D acoustic cavities with impedance boundary conditions. (English) Zbl 1481.65233 Appl. Math. Modelling 84, 447-465 (2020). MSC: 65N30 76Q05 PDFBibTeX XMLCite \textit{L. Yao} et al., Appl. Math. Modelling 84, 447--465 (2020; Zbl 1481.65233) Full Text: DOI
Tu, Fubin; Jiao, Yuyong; Chen, Zongwu; Zou, Junpeng; Zhao, Zhiye Stress continuity in DEM-FEM multiscale coupling based on the generalized bridging domain method. (English) Zbl 1481.74027 Appl. Math. Modelling 83, 220-236 (2020). MSC: 74A10 65N30 PDFBibTeX XMLCite \textit{F. Tu} et al., Appl. Math. Modelling 83, 220--236 (2020; Zbl 1481.74027) Full Text: DOI
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Zagour, Mohamed Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion-fluid system. (English) Zbl 1481.76201 Appl. Math. Modelling 82, 379-408 (2020). MSC: 76R50 35Q35 65M60 PDFBibTeX XMLCite \textit{A. Atlas} et al., Appl. Math. Modelling 82, 379--408 (2020; Zbl 1481.76201) Full Text: DOI
Shen, Quan; Ding, Rui; Wang, Yu Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method. (English) Zbl 1443.74269 Appl. Math. Modelling 77, Part 1, 690-708 (2020). MSC: 74S05 65N15 65N30 74M15 PDFBibTeX XMLCite \textit{Q. Shen} et al., Appl. Math. Modelling 77, Part 1, 690--708 (2020; Zbl 1443.74269) Full Text: DOI
Wang, Xuechuan; Xu, Qiuyi; Atluri, Satya N. Combination of the variational iteration method and numerical algorithms for nonlinear problems. (English) Zbl 1481.65114 Appl. Math. Modelling 79, 243-259 (2020). MSC: 65L60 65L20 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Modelling 79, 243--259 (2020; Zbl 1481.65114) Full Text: DOI arXiv
Faraji Gargari, S.; Kolahdoozan, M.; Afshar, M. H.; Dabiri, S. An Eulerian-Lagrangian mixed discrete least squares meshfree method for incompressible multiphase flow problems. (English) Zbl 1481.65182 Appl. Math. Modelling 76, 193-224 (2019). MSC: 65M60 76M28 76D05 PDFBibTeX XMLCite \textit{S. Faraji Gargari} et al., Appl. Math. Modelling 76, 193--224 (2019; Zbl 1481.65182) Full Text: DOI
Ebna Hai, Bhuiyan Shameem Mahmood; Bause, Markus; Kuberry, Paul Allen Modeling concept and numerical simulation of ultrasonic wave propagation in a moving fluid-structure domain based on a monolithic approach. (English) Zbl 1481.74151 Appl. Math. Modelling 75, 916-939 (2019). MSC: 74F10 76D05 PDFBibTeX XMLCite \textit{B. S. M. Ebna Hai} et al., Appl. Math. Modelling 75, 916--939 (2019; Zbl 1481.74151) Full Text: DOI Link
Shi, Y. H.; Liu, F.; Zhao, Y. M.; Wang, F. L.; Turner, I. An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain. (English) Zbl 1481.65190 Appl. Math. Modelling 73, 615-636 (2019). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{Y. H. Shi} et al., Appl. Math. Modelling 73, 615--636 (2019; Zbl 1481.65190) Full Text: DOI
Cheng, Zhenxing; Wang, Hu An exact and efficient X-FEM-based reanalysis algorithm for quasi-static crack propagation. (English) Zbl 1481.74654 Appl. Math. Modelling 72, 601-622 (2019). MSC: 74R10 65N30 PDFBibTeX XMLCite \textit{Z. Cheng} and \textit{H. Wang}, Appl. Math. Modelling 72, 601--622 (2019; Zbl 1481.74654) Full Text: DOI
Dolejší, Vít; Kuraz, Michal; Solin, Pavel Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows. (English) Zbl 1481.76209 Appl. Math. Modelling 72, 276-305 (2019). MSC: 76S05 65M50 65M60 PDFBibTeX XMLCite \textit{V. Dolejší} et al., Appl. Math. Modelling 72, 276--305 (2019; Zbl 1481.76209) Full Text: DOI
Malmir, Iman Novel Chebyshev wavelets algorithms for optimal control and analysis of general linear delay models. (English) Zbl 1466.65046 Appl. Math. Modelling 69, 621-647 (2019). MSC: 65L03 49M25 65L60 65T60 PDFBibTeX XMLCite \textit{I. Malmir}, Appl. Math. Modelling 69, 621--647 (2019; Zbl 1466.65046) Full Text: DOI
Vadlamani, Shashank; Arun, C. O. Construction of beam elements considering von Kármán nonlinear strains using B-spline wavelet on the interval. (English) Zbl 1481.65232 Appl. Math. Modelling 68, 675-695 (2019). MSC: 65N30 65D07 65T60 74K10 PDFBibTeX XMLCite \textit{S. Vadlamani} and \textit{C. O. Arun}, Appl. Math. Modelling 68, 675--695 (2019; Zbl 1481.65232) Full Text: DOI
Li, Yan; Li, J.; Wen, P. H. Finite and infinite block Petrov-Galerkin method for cracks in functionally graded materials. (English) Zbl 1481.74664 Appl. Math. Modelling 68, 306-326 (2019). MSC: 74R10 65N30 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 68, 306--326 (2019; Zbl 1481.74664) Full Text: DOI Link
You, Lingyun; Yan, Kezhen; Liu, Nengyuan; Shi, Tingwei; Lv, Songtao Assessing the mechanical responses for anisotropic multi-layered medium under harmonic moving load by spectral element method (SEM). (English) Zbl 1481.74113 Appl. Math. Modelling 67, 22-37 (2019). MSC: 74E10 65M60 65M70 PDFBibTeX XMLCite \textit{L. You} et al., Appl. Math. Modelling 67, 22--37 (2019; Zbl 1481.74113) Full Text: DOI
Guo, Hongwei; Zheng, Hong; Zhuang, Xiaoying Numerical manifold method for vibration analysis of Kirchhoff’s plates of arbitrary geometry. (English) Zbl 1481.74259 Appl. Math. Modelling 66, 695-727 (2019). MSC: 74H45 65N30 PDFBibTeX XMLCite \textit{H. Guo} et al., Appl. Math. Modelling 66, 695--727 (2019; Zbl 1481.74259) Full Text: DOI
Li, Xiaolin Three-dimensional complex variable element-free Galerkin method. (English) Zbl 1480.65342 Appl. Math. Modelling 63, 148-171 (2018). MSC: 65N30 65E05 PDFBibTeX XMLCite \textit{X. Li}, Appl. Math. Modelling 63, 148--171 (2018; Zbl 1480.65342) Full Text: DOI
Li, She; Cui, Xiangyang An edge-based smoothed finite element method for nonlinear magnetostatic and eddy current analysis. (English) Zbl 1460.78025 Appl. Math. Modelling 62, 287-302 (2018). MSC: 78M10 78A25 78A30 PDFBibTeX XMLCite \textit{S. Li} and \textit{X. Cui}, Appl. Math. Modelling 62, 287--302 (2018; Zbl 1460.78025) Full Text: DOI
Li, D. M.; Tian, Li-Rui Large deformation analysis of a gel using the complex variable element-free Galerkin method. (English) Zbl 1460.82028 Appl. Math. Modelling 61, 484-497 (2018). MSC: 82D60 82D15 65N30 65K10 82M10 PDFBibTeX XMLCite \textit{D. M. Li} and \textit{L.-R. Tian}, Appl. Math. Modelling 61, 484--497 (2018; Zbl 1460.82028) Full Text: DOI
Das, A.; Debnath, N. A Bayesian finite element model updating with combined normal and lognormal probability distributions using modal measurements. (English) Zbl 1462.62175 Appl. Math. Modelling 61, 457-483 (2018). MSC: 62F15 65N30 65C05 PDFBibTeX XMLCite \textit{A. Das} and \textit{N. Debnath}, Appl. Math. Modelling 61, 457--483 (2018; Zbl 1462.62175) Full Text: DOI
Dehghan, Mehdi; Narimani, Niusha An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue. (English) Zbl 1480.92103 Appl. Math. Modelling 59, 500-513 (2018). MSC: 92C50 92C42 65M60 35Q92 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{N. Narimani}, Appl. Math. Modelling 59, 500--513 (2018; Zbl 1480.92103) Full Text: DOI
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. (English) Zbl 1480.65253 Appl. Math. Modelling 59, 441-463 (2018). MSC: 65M60 35R11 65M06 PDFBibTeX XMLCite \textit{L. Feng} et al., Appl. Math. Modelling 59, 441--463 (2018; Zbl 1480.65253) Full Text: DOI Link
Ying, Jinyong; Xie, Dexuan A hybrid solver of size modified Poisson-Boltzmann equation by domain decomposition, finite element, and finite difference. (English) Zbl 1480.65348 Appl. Math. Modelling 58, 166-180 (2018). MSC: 65N30 65N06 65N55 65Y15 PDFBibTeX XMLCite \textit{J. Ying} and \textit{D. Xie}, Appl. Math. Modelling 58, 166--180 (2018; Zbl 1480.65348) Full Text: DOI arXiv
Yuan, Shuai; Du, Jingna Upper bound limit analysis using the weak form quadrature element method. (English) Zbl 1480.65273 Appl. Math. Modelling 56, 551-563 (2018). MSC: 65M60 74P05 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{J. Du}, Appl. Math. Modelling 56, 551--563 (2018; Zbl 1480.65273) Full Text: DOI
Dabiri, Arman; Butcher, Eric A. Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods. (English) Zbl 1480.65158 Appl. Math. Modelling 56, 424-448 (2018). MSC: 65L03 34K37 65L60 PDFBibTeX XMLCite \textit{A. Dabiri} and \textit{E. A. Butcher}, Appl. Math. Modelling 56, 424--448 (2018; Zbl 1480.65158) Full Text: DOI
Shen, Xiaoqin; Li, Haoming The time-dependent Koiter model and its numerical computation. (English) Zbl 1480.74216 Appl. Math. Modelling 55, 131-144 (2018). MSC: 74K25 65M60 PDFBibTeX XMLCite \textit{X. Shen} and \textit{H. Li}, Appl. Math. Modelling 55, 131--144 (2018; Zbl 1480.74216) Full Text: DOI
Alizadeh, As’ad; Dadvand, Abdolrahman Hydrodynamic interaction of elastic membranes in a stenosed microchannel. (English) Zbl 1480.74199 Appl. Math. Modelling 54, 361-377 (2018). MSC: 74K15 65M60 76Z05 PDFBibTeX XMLCite \textit{A. Alizadeh} and \textit{A. Dadvand}, Appl. Math. Modelling 54, 361--377 (2018; Zbl 1480.74199) Full Text: DOI
Çelik, İbrahim Free vibration of non-uniform Euler-Bernoulli beam under various supporting conditions using Chebyshev wavelet collocation method. (English) Zbl 1480.74100 Appl. Math. Modelling 54, 268-280 (2018). MSC: 74H45 74K10 65L10 65L60 65T60 PDFBibTeX XMLCite \textit{İ. Çelik}, Appl. Math. Modelling 54, 268--280 (2018; Zbl 1480.74100) Full Text: DOI
Cabrales, Roberto C.; Moraga, Nelson O. Mathematical modeling of macrosegregation during solidification of binary alloy by control volume finite element method. (English) Zbl 1480.80009 Appl. Math. Modelling 52, 288-305 (2017). MSC: 80A22 65M50 74N10 80M10 PDFBibTeX XMLCite \textit{R. C. Cabrales} and \textit{N. O. Moraga}, Appl. Math. Modelling 52, 288--305 (2017; Zbl 1480.80009) Full Text: DOI
Alvarez, Amaury C.; García, Galina C.; Sarkis, Marcus The ultra weak variational formulation for the modified mild-slope equation. (English) Zbl 1480.65326 Appl. Math. Modelling 52, 28-41 (2017). MSC: 65N30 86A05 PDFBibTeX XMLCite \textit{A. C. Alvarez} et al., Appl. Math. Modelling 52, 28--41 (2017; Zbl 1480.65326) Full Text: DOI
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
Zhang, H. H.; Han, S. Y.; Fan, L. F. Modeling 2D transient heat conduction problems by the numerical manifold method on Wachspress polygonal elements. (English) Zbl 1480.65276 Appl. Math. Modelling 48, 607-620 (2017). MSC: 65M60 80A19 80M10 PDFBibTeX XMLCite \textit{H. H. Zhang} et al., Appl. Math. Modelling 48, 607--620 (2017; Zbl 1480.65276) Full Text: DOI
Li, Xiaolin; Li, Shuling Analysis of the complex moving least squares approximation and the associated element-free Galerkin method. (English) Zbl 1446.65176 Appl. Math. Modelling 47, 45-62 (2017). MSC: 65N30 65N15 74S05 PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Li}, Appl. Math. Modelling 47, 45--62 (2017; Zbl 1446.65176) Full Text: DOI
Sannomaru, Shogo; Tanaka, Satoyuki; Yoshida, Ken-ichiro; Bui, Tinh Quoc; Okazawa, Shigenobu; Hagihara, Seiya Treatment of Dirichlet-type boundary conditions in the spline-based wavelet Galerkin method employing multiple point constraints. (English) Zbl 1446.74212 Appl. Math. Modelling 43, 592-610 (2017). MSC: 74S05 65N30 65T60 PDFBibTeX XMLCite \textit{S. Sannomaru} et al., Appl. Math. Modelling 43, 592--610 (2017; Zbl 1446.74212) Full Text: DOI
Martin, Olga Nonlinear dynamic analysis of viscoelastic beams using a fractional rheological model. (English) Zbl 1446.74034 Appl. Math. Modelling 43, 351-359 (2017). MSC: 74-10 74S05 74K10 34A08 PDFBibTeX XMLCite \textit{O. Martin}, Appl. Math. Modelling 43, 351--359 (2017; Zbl 1446.74034) Full Text: DOI
Wang, Li; Zhong, Hongzhi A time finite element method for structural dynamics. (English) Zbl 1443.65227 Appl. Math. Modelling 41, 445-461 (2017). MSC: 65M60 65M12 65M15 74A05 PDFBibTeX XMLCite \textit{L. Wang} and \textit{H. Zhong}, Appl. Math. Modelling 41, 445--461 (2017; Zbl 1443.65227) Full Text: DOI
Ren, Quanwei; Tian, Hongjiong Numerical solution of the static beam problem by Bernoulli collocation method. (English) Zbl 1480.74191 Appl. Math. Modelling 40, No. 21-22, 8886-8897 (2016). MSC: 74K10 74S99 65L60 PDFBibTeX XMLCite \textit{Q. Ren} and \textit{H. Tian}, Appl. Math. Modelling 40, No. 21--22, 8886--8897 (2016; Zbl 1480.74191) Full Text: DOI
Kalogirou, Anna; Moulopoulou, Erietta E.; Bokhove, Onno Variational finite element methods for waves in a Hele-Shaw tank. (English) Zbl 1471.65145 Appl. Math. Modelling 40, No. 17-18, 7493-7503 (2016). MSC: 65M60 76D27 PDFBibTeX XMLCite \textit{A. Kalogirou} et al., Appl. Math. Modelling 40, No. 17--18, 7493--7503 (2016; Zbl 1471.65145) Full Text: DOI
Shankar, B. M.; Kumar, Jai; Shivakumara, I. S. Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field. (English) Zbl 1465.76041 Appl. Math. Modelling 40, No. 9-10, 5462-5481 (2016). MSC: 76E06 76M10 65N30 65N25 76R10 PDFBibTeX XMLCite \textit{B. M. Shankar} et al., Appl. Math. Modelling 40, No. 9--10, 5462--5481 (2016; Zbl 1465.76041) Full Text: DOI
Zhang, Rongpei; Zhu, Jiang; Li, Xiang-Gui; Loula, Abimael F. D.; Yu, Xijun A Krylov semi-implicit discontinuous Galerkin method for the computation of ground and excited states in Bose-Einstein condensates. (English) Zbl 1459.65192 Appl. Math. Modelling 40, No. 7-8, 5096-5110 (2016). MSC: 65M60 78M10 PDFBibTeX XMLCite \textit{R. Zhang} et al., Appl. Math. Modelling 40, No. 7--8, 5096--5110 (2016; Zbl 1459.65192) Full Text: DOI
Khuri, S. A.; Sayfy, A. A mixed decomposition-spline approach for the numerical solution of a class of singular boundary value problems. (English) Zbl 1459.65115 Appl. Math. Modelling 40, No. 7-8, 4664-4680 (2016). MSC: 65L10 65L20 65L60 PDFBibTeX XMLCite \textit{S. A. Khuri} and \textit{A. Sayfy}, Appl. Math. Modelling 40, No. 7--8, 4664--4680 (2016; Zbl 1459.65115) Full Text: DOI
Wu, C. T.; Wang, D.; Guo, Y. An immersed particle modeling technique for the three-dimensional large strain simulation of particulate-reinforced metal-matrix composites. (English) Zbl 1452.74030 Appl. Math. Modelling 40, No. 4, 2500-2513 (2016). MSC: 74E30 65N30 PDFBibTeX XMLCite \textit{C. T. Wu} et al., Appl. Math. Modelling 40, No. 4, 2500--2513 (2016; Zbl 1452.74030) Full Text: DOI
Yang, Zhi-Bo; Chen, Xue-Feng; Xie, Yong; Zuo, Hao; Miao, Hui-Hui; Zhang, Xing-Wu Wave motion analysis and modeling of membrane structures using the wavelet finite element method. (English) Zbl 1452.74069 Appl. Math. Modelling 40, No. 3, 2407-2420 (2016). MSC: 74K15 65N30 65T60 PDFBibTeX XMLCite \textit{Z.-B. Yang} et al., Appl. Math. Modelling 40, No. 3, 2407--2420 (2016; Zbl 1452.74069) Full Text: DOI
Zhang, Xingwu; Zuo, Hao; Liu, Jixuan; Chen, Xuefeng; Yang, Zhibo Analysis of shallow hyperbolic shell by different kinds of wavelet elements based on B-spline wavelet on the interval. (English) Zbl 1452.74078 Appl. Math. Modelling 40, No. 3, 1914-1928 (2016). MSC: 74K25 65N30 65T60 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Modelling 40, No. 3, 1914--1928 (2016; Zbl 1452.74078) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. (English) Zbl 1446.34011 Appl. Math. Modelling 40, No. 2, 832-845 (2016). MSC: 34A08 26A33 33C47 65L60 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Appl. Math. Modelling 40, No. 2, 832--845 (2016; Zbl 1446.34011) Full Text: DOI
Mokhtary, Payam; Ghoreishi, F.; Srivastava, H. M. The Müntz-Legendre tau method for fractional differential equations. (English) Zbl 1446.65041 Appl. Math. Modelling 40, No. 2, 671-684 (2016). MSC: 65L05 34A08 65L60 PDFBibTeX XMLCite \textit{P. Mokhtary} et al., Appl. Math. Modelling 40, No. 2, 671--684 (2016; Zbl 1446.65041) Full Text: DOI
Sharma, Nisha; Sharma, Kapil K. Finite element method for a nonlinear parabolic integro-differential equation in higher spatial dimensions. (English) Zbl 1443.65445 Appl. Math. Modelling 39, No. 23-24, 7338-7350 (2015). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{N. Sharma} and \textit{K. K. Sharma}, Appl. Math. Modelling 39, No. 23--24, 7338--7350 (2015; Zbl 1443.65445) Full Text: DOI
Zhu, Peng; Yang, Yubo; Yin, Yunhui Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection-diffusion type. (English) Zbl 1443.65111 Appl. Math. Modelling 39, No. 22, 6806-6816 (2015). MSC: 65L60 65L11 65L50 PDFBibTeX XMLCite \textit{P. Zhu} et al., Appl. Math. Modelling 39, No. 22, 6806--6816 (2015; Zbl 1443.65111) Full Text: DOI
Yüzbaşı, Şuayip; Sezer, Mehmet Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations. (English) Zbl 1443.65091 Appl. Math. Modelling 39, No. 21, 6529-6542 (2015). MSC: 65L03 34K07 65L60 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı} and \textit{M. Sezer}, Appl. Math. Modelling 39, No. 21, 6529--6542 (2015; Zbl 1443.65091) Full Text: DOI
Kim, Dae-Jin; Hong, Sung-Gul; Duarte, C. Armando Generalized finite element analysis using the preconditioned conjugate gradient method. (English) Zbl 1443.65350 Appl. Math. Modelling 39, No. 19, 5837-5848 (2015). MSC: 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{D.-J. Kim} et al., Appl. Math. Modelling 39, No. 19, 5837--5848 (2015; Zbl 1443.65350) Full Text: DOI
Wu, Yi-Chang; Jian, Bo-Syuan Magnetic field analysis of a coaxial magnetic gear mechanism by two-dimensional equivalent magnetic circuit network method and finite-element method. (English) Zbl 1443.78007 Appl. Math. Modelling 39, No. 19, 5746-5758 (2015). MSC: 78-10 78M10 PDFBibTeX XMLCite \textit{Y.-C. Wu} and \textit{B.-S. Jian}, Appl. Math. Modelling 39, No. 19, 5746--5758 (2015; Zbl 1443.78007) Full Text: DOI
Dehghan, Mehdi; Shahini, Mehdi Rational pseudospectral approximation to the solution of a nonlinear integro-differential equation arising in modeling of the population growth. (English) Zbl 1443.92005 Appl. Math. Modelling 39, No. 18, 5521-5530 (2015). MSC: 92-08 65L60 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Shahini}, Appl. Math. Modelling 39, No. 18, 5521--5530 (2015; Zbl 1443.92005) Full Text: DOI
Mehrpouya, M. A.; Shamsi, M. Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory. (English) Zbl 1443.65108 Appl. Math. Modelling 39, No. 17, 5047-5057 (2015); retraction notice ibid. 121, 865 (2023). MSC: 65L60 65L10 49M25 PDFBibTeX XMLCite \textit{M. A. Mehrpouya} and \textit{M. Shamsi}, Appl. Math. Modelling 39, No. 17, 5047--5057 (2015; Zbl 1443.65108) Full Text: DOI
Lei, Zhen; Gillot, Frederic; Jezequel, Louis A \(C^0 / G^1\) multiple patches connection method in isogeometric analysis. (English) Zbl 1443.74262 Appl. Math. Modelling 39, No. 15, 4405-4420 (2015). MSC: 74S05 65D07 65D17 65N30 74K25 PDFBibTeX XMLCite \textit{Z. Lei} et al., Appl. Math. Modelling 39, No. 15, 4405--4420 (2015; Zbl 1443.74262) Full Text: DOI
Mauri, A.; Sacco, R.; Verri, M. Electro-thermo-chemical computational models for 3D heterogeneous semiconductor device simulation. (English) Zbl 1443.82024 Appl. Math. Modelling 39, No. 14, 4057-4074 (2015). MSC: 82M10 82D37 PDFBibTeX XMLCite \textit{A. Mauri} et al., Appl. Math. Modelling 39, No. 14, 4057--4074 (2015; Zbl 1443.82024) Full Text: DOI arXiv
Weng, Zhifeng; Zhai, Shuying; Feng, Xinlong An improved two-grid finite element method for the Steklov eigenvalue problem. (English) Zbl 1443.65303 Appl. Math. Modelling 39, No. 10-11, 2962-2972 (2015). MSC: 65N25 65N30 65N55 65N15 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 39, No. 10--11, 2962--2972 (2015; Zbl 1443.65303) Full Text: DOI
Yoon, Gil Ho; Kim, Jun Hwan; Jung, Kwang Ok; Jung, Jae Won Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation. (English) Zbl 1443.65304 Appl. Math. Modelling 39, No. 9, 2740-2762 (2015). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{G. H. Yoon} et al., Appl. Math. Modelling 39, No. 9, 2740--2762 (2015; Zbl 1443.65304) Full Text: DOI