Bosque, Jesús J.; Calvo, Gabriel F.; Navarro, María Cruz Modelling the effect of vascular status on tumour evolution and outcome after thermal therapy. (English) Zbl 1505.92091 Appl. Math. Modelling 110, 207-240 (2022). MSC: 92C50 35Q92 PDFBibTeX XMLCite \textit{J. J. Bosque} et al., Appl. Math. Modelling 110, 207--240 (2022; Zbl 1505.92091) Full Text: DOI arXiv
Mu, Xiang; Xu, Wenshuai; Zhu, Zhaowei; Zhang, Liangliang; Gao, Yang Multi-field coupling solutions of functionally graded two-dimensional piezoelectric quasicrystal wedges and spaces. (English) Zbl 1505.74025 Appl. Math. Modelling 109, 251-264 (2022). MSC: 74E15 74F15 PDFBibTeX XMLCite \textit{X. Mu} et al., Appl. Math. Modelling 109, 251--264 (2022; Zbl 1505.74025) Full Text: DOI
Zheng, Ruifeng; Deng, Zichen Fundamental solutions for penny-shaped and half-plane cracks in one-dimensional hexagonal quasicrystals: shear mode. (English) Zbl 1503.74020 Appl. Math. Modelling 108, 275-293 (2022). MSC: 74E15 PDFBibTeX XMLCite \textit{R. Zheng} and \textit{Z. Deng}, Appl. Math. Modelling 108, 275--293 (2022; Zbl 1503.74020) Full Text: DOI
Long, Xiao-Yu; Zhong, Xian-Ci; Duan, Fang-Shi Approximate structures of thermoelastic fields induced by a penny-shaped thermal-medium crack in a transversely isotropic layer. (English) Zbl 1503.74099 Appl. Math. Modelling 107, 508-529 (2022). MSC: 74R10 74F05 PDFBibTeX XMLCite \textit{X.-Y. Long} et al., Appl. Math. Modelling 107, 508--529 (2022; Zbl 1503.74099) Full Text: DOI
Qiu, Lin; Lin, Ji; Wang, Fajie; Qin, Qing-Hua; Liu, Chein-Shan A homogenization function method for inverse heat source problems in 3D functionally graded materials. (English) Zbl 1481.74036 Appl. Math. Modelling 91, 923-933 (2021). MSC: 74A15 PDFBibTeX XMLCite \textit{L. Qiu} et al., Appl. Math. Modelling 91, 923--933 (2021; Zbl 1481.74036) Full Text: DOI
Aimi, A.; Desiderio, L.; Fedeli, P.; Frangi, A. A fast boundary-finite element approach for estimating anchor losses in micro-electro-mechanical system resonators. (English) Zbl 1481.74167 Appl. Math. Modelling 97, 741-753 (2021). MSC: 74F15 74J20 65N38 PDFBibTeX XMLCite \textit{A. Aimi} et al., Appl. Math. Modelling 97, 741--753 (2021; Zbl 1481.74167) Full Text: DOI
Xie, Xianda; Yang, Aodi; Jiang, Ning; Wang, Shuting Topology optimization using fully adaptive truncated hierarchical B-splines. (English) Zbl 1481.74627 Appl. Math. Modelling 96, 131-151 (2021). MSC: 74P15 65D07 90C90 PDFBibTeX XMLCite \textit{X. Xie} et al., Appl. Math. Modelling 96, 131--151 (2021; Zbl 1481.74627) Full Text: DOI
Li, Xiaoya; Tian, Xiaogeng Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model. (English) Zbl 1481.74560 Appl. Math. Modelling 95, 612-622 (2021). MSC: 74L15 74F05 92C30 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Tian}, Appl. Math. Modelling 95, 612--622 (2021; Zbl 1481.74560) Full Text: DOI
Hematiyan, M. R.; Mohammadi, M.; Tsai, Chia-Cheng The method of fundamental solutions for anisotropic thermoelastic problems. (English) Zbl 1481.74033 Appl. Math. Modelling 95, 200-218 (2021). MSC: 74A15 74E10 PDFBibTeX XMLCite \textit{M. R. Hematiyan} et al., Appl. Math. Modelling 95, 200--218 (2021; Zbl 1481.74033) Full Text: DOI
Xie, Cihang; Wu, Ying; Liu, Zishun An electromechanical cohesive zone model merging with contact and friction effects for fiber debonding and pushing-out in piezoelectric fiber composites. (English) Zbl 1481.74192 Appl. Math. Modelling 95, 1-21 (2021). MSC: 74F15 74M10 74M15 PDFBibTeX XMLCite \textit{C. Xie} et al., Appl. Math. Modelling 95, 1--21 (2021; Zbl 1481.74192) Full Text: DOI
Niu, Mingchang; Su, Jinpeng; Huang, Yuhong; Hua, Hongxing A weak formulation for exterior acoustic-structure interaction problem of a spherical shell in infinite domain. (English) Zbl 1481.74514 Appl. Math. Modelling 92, 223-243 (2021). MSC: 74K25 74H45 PDFBibTeX XMLCite \textit{M. Niu} et al., Appl. Math. Modelling 92, 223--243 (2021; Zbl 1481.74514) Full Text: DOI
Gao, Jie; Luo, Zhen; Xiao, Mi; Gao, Liang; Li, Peigen A NURBS-based multi-material interpolation (N-MMI) for isogeometric topology optimization of structures. (English) Zbl 1481.74616 Appl. Math. Modelling 81, 818-843 (2020). MSC: 74P15 49Q12 65D18 PDFBibTeX XMLCite \textit{J. Gao} et al., Appl. Math. Modelling 81, 818--843 (2020; Zbl 1481.74616) Full Text: DOI
Yu, Ya Jun; Deng, Zi Chen Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives. (English) Zbl 1481.74039 Appl. Math. Modelling 87, 731-751 (2020). MSC: 74A15 74S40 PDFBibTeX XMLCite \textit{Y. J. Yu} and \textit{Z. C. Deng}, Appl. Math. Modelling 87, 731--751 (2020; Zbl 1481.74039) 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
Chen, Linchong; Li, Xiaolin A Burton-Miller boundary element-free method for Helmholtz problems. (English) Zbl 1481.65242 Appl. Math. Modelling 83, 386-399 (2020). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{L. Chen} and \textit{X. Li}, Appl. Math. Modelling 83, 386--399 (2020; Zbl 1481.65242) Full Text: DOI
Zheng, Yongfeng; Da, Daicong; Li, Hao; Xiao, Mi; Gao, Liang Robust topology optimization for multi-material structures under interval uncertainty. (English) Zbl 1481.74630 Appl. Math. Modelling 78, 627-647 (2020). MSC: 74P15 49K40 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Appl. Math. Modelling 78, 627--647 (2020; Zbl 1481.74630) Full Text: DOI
Li, Xiaoya; Qin, Qing-Hua; Tian, Xiaogeng Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment. (English) Zbl 1481.92034 Appl. Math. Modelling 79, 881-895 (2020). MSC: 92C30 92C10 74F05 74L15 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Modelling 79, 881--895 (2020; Zbl 1481.92034) Full Text: DOI
Liu, Chein-Shan; Qiu, Lin; Lin, Ji Simulating thin plate bending problems by a family of two-parameter homogenization functions. (English) Zbl 1481.74497 Appl. Math. Modelling 79, 284-299 (2020). MSC: 74K20 PDFBibTeX XMLCite \textit{C.-S. Liu} et al., Appl. Math. Modelling 79, 284--299 (2020; Zbl 1481.74497) Full Text: DOI
Wei, Xing; Sun, Linlin Singular boundary method for 3D time-harmonic electromagnetic scattering problems. (English) Zbl 1481.78005 Appl. Math. Modelling 76, 617-631 (2019). MSC: 78A45 78M15 35P25 35Q60 65N80 65N38 PDFBibTeX XMLCite \textit{X. Wei} and \textit{L. Sun}, Appl. Math. Modelling 76, 617--631 (2019; Zbl 1481.78005) Full Text: DOI
Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. (English) Zbl 1481.76193 Appl. Math. Modelling 76, 122-132 (2019). MSC: 76Q05 65N80 PDFBibTeX XMLCite \textit{W. Qu} et al., Appl. Math. Modelling 76, 122--132 (2019; Zbl 1481.76193) Full Text: DOI
Chen, Linchong; Li, Xiaolin Boundary element-free methods for exterior acoustic problems with arbitrary and high wavenumbers. (English) Zbl 1481.65241 Appl. Math. Modelling 72, 85-103 (2019). MSC: 65N38 35J05 35J25 PDFBibTeX XMLCite \textit{L. Chen} and \textit{X. Li}, Appl. Math. Modelling 72, 85--103 (2019; Zbl 1481.65241) Full Text: DOI
Zhang, Jianming; Dong, Yunqiao; Lin, Weicheng; Ju, Chuanming A singular element based on dual interpolation BFM for V-shaped notches. (English) Zbl 1481.65248 Appl. Math. Modelling 71, 208-222 (2019). MSC: 65N38 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Math. Modelling 71, 208--222 (2019; Zbl 1481.65248) Full Text: DOI
Li, Yuan; Zhao, MingHao; Qin, Qing-Hua; Fan, CuiYing Analysis solution method for 3D planar crack problems of two-dimensional hexagonal quasicrystals with thermal effects. (English) Zbl 1462.74140 Appl. Math. Modelling 69, 648-664 (2019). MSC: 74R10 74E15 74F05 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 69, 648--664 (2019; Zbl 1462.74140) Full Text: DOI
Wang, Hui; Qin, Qing-Hua; Lee, Cheuk-Yu \(n\)-sided polygonal hybrid finite elements with unified fundamental solution kernels for topology optimization. (English) Zbl 1481.74625 Appl. Math. Modelling 66, 97-117 (2019). MSC: 74P15 65N30 PDFBibTeX XMLCite \textit{H. Wang} et al., Appl. Math. Modelling 66, 97--117 (2019; Zbl 1481.74625) Full Text: DOI
Li, Junpu; Qin, Qinghua; Fu, Zhuojia A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems. (English) Zbl 1480.76109 Appl. Math. Modelling 63, 558-576 (2018). MSC: 76Q05 65N80 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Modelling 63, 558--576 (2018; Zbl 1480.76109) Full Text: DOI
Xu, Wenshuai; Wu, Di; Gao, Yang Fundamental elastic field in an infinite plane of two-dimensional piezoelectric quasicrystal subjected to multi-physics loads. (English) Zbl 1480.74073 Appl. Math. Modelling 52, 186-196 (2017). MSC: 74F15 PDFBibTeX XMLCite \textit{W. Xu} et al., Appl. Math. Modelling 52, 186--196 (2017; Zbl 1480.74073) Full Text: DOI
Polyanin, Andrei D.; Lychev, Sergei A. Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: partial survey, classification, new results, and generalizations. (English) Zbl 1452.35158 Appl. Math. Modelling 40, No. 4, 3298-3324 (2016). MSC: 35Q35 74G05 74G10 76A10 PDFBibTeX XMLCite \textit{A. D. Polyanin} and \textit{S. A. Lychev}, Appl. Math. Modelling 40, No. 4, 3298--3324 (2016; Zbl 1452.35158) Full Text: DOI
Mukhtar, Faisal M.; Al-Gahtani, Husain J. Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars. (English) Zbl 1443.74087 Appl. Math. Modelling 40, No. 1, 436-450 (2016). MSC: 74-10 74C05 PDFBibTeX XMLCite \textit{F. M. Mukhtar} and \textit{H. J. Al-Gahtani}, Appl. Math. Modelling 40, No. 1, 436--450 (2016; Zbl 1443.74087) Full Text: DOI
Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H. Finite integration method for solving multi-dimensional partial differential equations. (English) Zbl 1443.65391 Appl. Math. Modelling 39, No. 17, 4979-4994 (2015). MSC: 65N35 PDFBibTeX XMLCite \textit{M. Li} et al., Appl. Math. Modelling 39, No. 17, 4979--4994 (2015; Zbl 1443.65391) Full Text: DOI
Hambli, Ridha; Kourta, Azeddine A theory for internal bone remodeling based on interstitial fluid velocity stimulus function. (English) Zbl 1443.92053 Appl. Math. Modelling 39, No. 12, 3525-3534 (2015). MSC: 92C10 92C35 PDFBibTeX XMLCite \textit{R. Hambli} and \textit{A. Kourta}, Appl. Math. Modelling 39, No. 12, 3525--3534 (2015; Zbl 1443.92053) Full Text: DOI
Tian, Bin; Li, Rui; Zhong, Yang Integral transform solutions to the bending problems of moderately thick rectangular plates with all edges free resting on elastic foundations. (English) Zbl 1428.74144 Appl. Math. Modelling 39, No. 1, 128-136 (2015). MSC: 74K20 74S05 PDFBibTeX XMLCite \textit{B. Tian} et al., Appl. Math. Modelling 39, No. 1, 128--136 (2015; Zbl 1428.74144) Full Text: DOI
Dehghan, Mehdi; Sabouri, Mania A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements. (English) Zbl 1349.74320 Appl. Math. Modelling 36, No. 12, 6031-6049 (2012). MSC: 74S05 74L15 74F05 65M60 92-08 92C50 80A20 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Sabouri}, Appl. Math. Modelling 36, No. 12, 6031--6049 (2012; Zbl 1349.74320) Full Text: DOI
Khosravifard, A.; Hematiyan, M. R.; Marin, L. Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method. (English) Zbl 1225.74033 Appl. Math. Modelling 35, No. 9, 4157-4174 (2011). MSC: 74F05 74S25 65M60 PDFBibTeX XMLCite \textit{A. Khosravifard} et al., Appl. Math. Modelling 35, No. 9, 4157--4174 (2011; Zbl 1225.74033) Full Text: DOI
Jain, Madhu; Jain, Anamika; Choo, Yeon Seok; Choi, Noori; Lee, Byung Chai Working vacations queueing model with multiple types of server breakdowns A new hybrid-Trefftz triangular and quadrilateral plate elements. (English) Zbl 1185.90048 Appl. Math. Modelling 34, No. 1, 1-13, 14-23 (2010). MSC: 90B22 90B25 90C31 74S05 65N30 74K20 PDFBibTeX XMLCite \textit{M. Jain} et al., Appl. Math. Modelling 34, No. 1, 1--13, 14--23 (2010; Zbl 1185.90048) Full Text: DOI
Kong, Weibin; Wu, Xionghua The Laplace transform and polynomial Trefftz method for a class of time dependent PDEs. (English) Zbl 1185.44002 Appl. Math. Modelling 33, No. 5, 2226-2233 (2009). MSC: 44A10 PDFBibTeX XMLCite \textit{W. Kong} and \textit{X. Wu}, Appl. Math. Modelling 33, No. 5, 2226--2233 (2009; Zbl 1185.44002) Full Text: DOI
Qin, Qing-Hua Formulation of hybrid Trefftz finite element method for elastoplasticity. (English) Zbl 1081.74043 Appl. Math. Modelling 29, No. 3, 235-252 (2005). MSC: 74S05 74C05 PDFBibTeX XMLCite \textit{Q.-H. Qin}, Appl. Math. Modelling 29, No. 3, 235--252 (2005; Zbl 1081.74043) Full Text: DOI
Qin, Qing-Hua Thermoelectroelastic solution for elliptic inclusions and application to crack-inclusion problems. (English) Zbl 1076.74512 Appl. Math. Modelling 25, No. 1, 1-23 (2000). MSC: 74F15 74F05 74R10 74E05 PDFBibTeX XMLCite \textit{Q.-H. Qin}, Appl. Math. Modelling 25, No. 1, 1--23 (2000; Zbl 1076.74512) Full Text: DOI
Qin, Qinghua Postbuckling analysis of thin plates on an elastic foundation by HT FE approach. (English) Zbl 0901.73077 Appl. Math. Modelling 21, No. 9, 547-556 (1997). MSC: 74S05 74G60 74K20 PDFBibTeX XMLCite \textit{Q. Qin}, Appl. Math. Modelling 21, No. 9, 547--556 (1997; Zbl 0901.73077) Full Text: DOI
Qin, Q. H. Hybrid Trefftz finite-element approach for plate bending on an elastic foundation. (English) Zbl 0804.73070 Appl. Math. Modelling 18, No. 6, 334-339 (1994). MSC: 74S05 74K20 74A55 74M15 PDFBibTeX XMLCite \textit{Q. H. Qin}, Appl. Math. Modelling 18, No. 6, 334--339 (1994; Zbl 0804.73070) Full Text: DOI
He, Xiaoqiao; Qin, Qinghua Nonlinear analysis of Reissner’s plate by the variational approaches and boundary element methods. (English) Zbl 0769.73044 Appl. Math. Modelling 17, No. 3, 149-155 (1993). MSC: 74K20 74S30 74P10 74S15 PDFBibTeX XMLCite \textit{X. He} and \textit{Q. Qin}, Appl. Math. Modelling 17, No. 3, 149--155 (1993; Zbl 0769.73044) Full Text: DOI