Darabi, Roya; Azinpour, Erfan; Reis, Ana; de Sa, Jose Cesar Multi-scale multi-physics phase-field coupled thermo-mechanical approach for modeling of powder bed fusion process. (English) Zbl 1525.74006 Appl. Math. Modelling 122, 572-597 (2023). MSC: 74A15 74S05 PDFBibTeX XMLCite \textit{R. Darabi} et al., Appl. Math. Modelling 122, 572--597 (2023; Zbl 1525.74006) Full Text: DOI
Thai, Duy Hoang; Banks, David Directional mean curvature for textured image demixing. (English) Zbl 1525.94018 Appl. Math. Modelling 102, 578-617 (2022). MSC: 94A08 PDFBibTeX XMLCite \textit{D. H. Thai} and \textit{D. Banks}, Appl. Math. Modelling 102, 578--617 (2022; Zbl 1525.94018) Full Text: DOI arXiv
Wang, Xiangyang; Qi, Huibo; Chen, Xueye; Bi, Junying; Zhou, Huawei; Liu, Zhiyi A continuum-discrete multiscale coupling method for pristine and defected single-walled carbon nanotubes. (English) Zbl 1505.74063 Appl. Math. Modelling 111, 176-200 (2022). MSC: 74G60 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Modelling 111, 176--200 (2022; Zbl 1505.74063) Full Text: DOI
Wu, Wenan; Yang, Yongtao; Shen, Yinbin; Zheng, Hong; Yuan, Chi; Zhang, Ning Hydro-mechanical multiscale numerical manifold model of the three-dimensional heterogeneous poro-elasticity. (English) Zbl 1505.74049 Appl. Math. Modelling 110, 779-818 (2022). MSC: 74F10 PDFBibTeX XMLCite \textit{W. Wu} et al., Appl. Math. Modelling 110, 779--818 (2022; Zbl 1505.74049) Full Text: DOI
Mohamed Mokhtarudin, Mohd Jamil; Naim, Wan Naimah Wan Abd.; Shabudin, Abbas; Payne, Stephen J. Multiscale modelling of brain tissue oxygen and glucose dynamics in tortuous capillary during ischaemia-reperfusion. (English) Zbl 1505.92058 Appl. Math. Modelling 109, 358-373 (2022). MSC: 92C35 92C40 35Q92 PDFBibTeX XMLCite \textit{M. J. Mohamed Mokhtarudin} et al., Appl. Math. Modelling 109, 358--373 (2022; Zbl 1505.92058) Full Text: DOI
Gong, Yanpeng; Qin, Fei; Dong, Chunying; Trevelyan, Jon An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources. (English) Zbl 1505.80004 Appl. Math. Modelling 109, 161-185 (2022). MSC: 80A19 65N38 PDFBibTeX XMLCite \textit{Y. Gong} et al., Appl. Math. Modelling 109, 161--185 (2022; Zbl 1505.80004) Full Text: DOI
da Silva, Leandro Lopes; Pitangueira, Roque Luiz da Silva; Penna, Samuel Silva Multiscale numerical strategy for micromorphic description of quasi-brittle media from classical elastic damage models at the microscale. (English) Zbl 1505.74194 Appl. Math. Modelling 109, 52-76 (2022). MSC: 74R15 PDFBibTeX XMLCite \textit{L. L. da Silva} et al., Appl. Math. Modelling 109, 52--76 (2022; Zbl 1505.74194) Full Text: DOI
Yadav, K. S.; Dalal, D. C. Effects of cell permeability on distribution and penetration of drug into biological tissues: a multiscale approach. (English) Zbl 1503.92034 Appl. Math. Modelling 108, 355-375 (2022). MSC: 92C37 35Q92 PDFBibTeX XMLCite \textit{K. S. Yadav} and \textit{D. C. Dalal}, Appl. Math. Modelling 108, 355--375 (2022; Zbl 1503.92034) Full Text: DOI
Nikravesh, Y.; Sameti, A. Rezaei; Khoei, A. R. An atomistic-continuum multiscale analysis for heterogeneous nanomaterials and its application in nanoporous gold foams. (English) Zbl 1503.74095 Appl. Math. Modelling 107, 353-378 (2022). MSC: 74Q05 74A25 PDFBibTeX XMLCite \textit{Y. Nikravesh} et al., Appl. Math. Modelling 107, 353--378 (2022; Zbl 1503.74095) Full Text: DOI
Wang, Pan; Liu, Enlong; Zhi, Bin An elastic-plastic model for frozen soil from micro to macro scale. (English) Zbl 1481.74088 Appl. Math. Modelling 91, 125-148 (2021). MSC: 74C05 74L10 PDFBibTeX XMLCite \textit{P. Wang} et al., Appl. Math. Modelling 91, 125--148 (2021; Zbl 1481.74088) Full Text: DOI
Wang, J. F.; Shi, S. Q.; Yang, J. P.; Zhang, W. Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates. (English) Zbl 1481.74319 Appl. Math. Modelling 98, 38-58 (2021). MSC: 74H45 74K20 PDFBibTeX XMLCite \textit{J. F. Wang} et al., Appl. Math. Modelling 98, 38--58 (2021; Zbl 1481.74319) 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
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
Sliseris, Janis; Gaile, Liga; Pakrastins, Leonids Extended multiscale FEM for design of beams and frames with complex topology. (English) Zbl 1461.74088 Appl. Math. Modelling 69, 77-92 (2019). MSC: 74S05 74K10 74K99 PDFBibTeX XMLCite \textit{J. Sliseris} et al., Appl. Math. Modelling 69, 77--92 (2019; Zbl 1461.74088) Full Text: DOI
Vasilyeva, Maria; Babaei, Masoud; Chung, Eric T.; Spiridonov, Denis Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications. (English) Zbl 1481.86028 Appl. Math. Modelling 67, 159-178 (2019). MSC: 86A60 74L05 80A19 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., Appl. Math. Modelling 67, 159--178 (2019; Zbl 1481.86028) Full Text: DOI Link
Dong, Hao; Cui, Junzhi; Nie, Yufeng; Ma, Qiang; Yang, Zihao Multiscale computational method for thermoelastic problems of composite materials with orthogonal periodic configurations. (English) Zbl 1480.74052 Appl. Math. Modelling 60, 634-660 (2018). MSC: 74E30 74F05 PDFBibTeX XMLCite \textit{H. Dong} et al., Appl. Math. Modelling 60, 634--660 (2018; Zbl 1480.74052) Full Text: DOI
Paul, Swaraj; Panja, M. M.; Mandal, B. N. Use of Legendre multiwavelets to solve Carleman type singular integral equations. (English) Zbl 1480.65381 Appl. Math. Modelling 55, 522-535 (2018). MSC: 65R20 65T60 45E05 PDFBibTeX XMLCite \textit{S. Paul} et al., Appl. Math. Modelling 55, 522--535 (2018; Zbl 1480.65381) Full Text: DOI
Ademiloye, A. S.; Zhang, L. W.; Liew, K. M. A three-dimensional quasicontinuum approach for predicting biomechanical properties of malaria-infected red blood cell membrane. (English) Zbl 1480.92025 Appl. Math. Modelling 49, 35-47 (2017). MSC: 92C10 92C37 74K15 74L15 PDFBibTeX XMLCite \textit{A. S. Ademiloye} et al., Appl. Math. Modelling 49, 35--47 (2017; Zbl 1480.92025) Full Text: DOI
Gada, Vinesh H.; Tandon, Mohit P.; Elias, Jebin; Vikulov, Roman; Lo, Simon A large scale interface multi-fluid model for simulating multiphase flows. (English) Zbl 1443.76030 Appl. Math. Modelling 44, 189-204 (2017). MSC: 76-10 76T10 PDFBibTeX XMLCite \textit{V. H. Gada} et al., Appl. Math. Modelling 44, 189--204 (2017; Zbl 1443.76030) Full Text: DOI
Mao, Aihua; Luo, Jie; Li, Guiqing; Li, Yi Numerical simulation of multiscale heat and moisture transfer in the thermal smart clothing system. (English) Zbl 1452.80010 Appl. Math. Modelling 40, No. 4, 3342-3364 (2016). MSC: 80A21 80M12 65M08 PDFBibTeX XMLCite \textit{A. Mao} et al., Appl. Math. Modelling 40, No. 4, 3342--3364 (2016; Zbl 1452.80010) Full Text: DOI
Weng, Zhifeng; Yang, Jerry Zhijian; Lu, Xiliang Two-grid variational multiscale method with bubble stabilization for convection diffusion equation. (English) Zbl 1446.76055 Appl. Math. Modelling 40, No. 2, 1097-1109 (2016). MSC: 76-10 76M10 PDFBibTeX XMLCite \textit{Z. Weng} et al., Appl. Math. Modelling 40, No. 2, 1097--1109 (2016; Zbl 1446.76055) Full Text: DOI
Chen, Gang; Feng, Minfu Explicitly uncoupled variational multiscale for characteristic finite element methods based on the unsteady Navier-Stokes equations with high Reynolds number. (English) Zbl 1443.76149 Appl. Math. Modelling 39, No. 14, 4202-4212 (2015). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{G. Chen} and \textit{M. Feng}, Appl. Math. Modelling 39, No. 14, 4202--4212 (2015; Zbl 1443.76149) Full Text: DOI
Cao, Feilong; Li, Ming Spherical data fitting by multiscale moving least squares. (English) Zbl 1443.65017 Appl. Math. Modelling 39, No. 12, 3448-3458 (2015). MSC: 65D10 PDFBibTeX XMLCite \textit{F. Cao} and \textit{M. Li}, Appl. Math. Modelling 39, No. 12, 3448--3458 (2015; Zbl 1443.65017) Full Text: DOI
Shi, Feng; Zheng, Haibiao; Yu, Jiaping; Li, Ying On the convergence of variational multiscale methods based on Newton’s iteration for the incompressible flows. (English) Zbl 1428.76105 Appl. Math. Modelling 38, No. 23, 5726-5742 (2014). MSC: 76M10 76D05 65N12 65N30 PDFBibTeX XMLCite \textit{F. Shi} et al., Appl. Math. Modelling 38, No. 23, 5726--5742 (2014; Zbl 1428.76105) Full Text: DOI
Manica, Rogerio; Hendrix, Maurice H. W.; Gupta, Raghvendra; Klaseboer, Evert; Ohl, Claus-Dieter; Chan, Derek Y. C. Modelling bubble rise and interaction with a glass surface. (English) Zbl 1428.76212 Appl. Math. Modelling 38, No. 17-18, 4249-4261 (2014). MSC: 76T10 76D05 76M99 PDFBibTeX XMLCite \textit{R. Manica} et al., Appl. Math. Modelling 38, No. 17--18, 4249--4261 (2014; Zbl 1428.76212) Full Text: DOI
Blažič, Sašo; Geiger, Gerhard; Matko, Drago Application of a heterogenous multiscale method to multi-batch driven pipeline. (English) Zbl 1449.76048 Appl. Math. Modelling 38, No. 3, 864-877 (2014). MSC: 76Nxx 76-10 76M20 PDFBibTeX XMLCite \textit{S. Blažič} et al., Appl. Math. Modelling 38, No. 3, 864--877 (2014; Zbl 1449.76048) Full Text: DOI
Yan, Yan; Wang, Wenquan; Zhang, Lixiang Applied multiscale method to analysis of nonlinear vibration for double-walled carbon nanotubes. (English) Zbl 1217.74073 Appl. Math. Modelling 35, No. 5, 2279-2289 (2011). MSC: 74K10 74A60 74H45 PDFBibTeX XMLCite \textit{Y. Yan} et al., Appl. Math. Modelling 35, No. 5, 2279--2289 (2011; Zbl 1217.74073) Full Text: DOI
Zhang, Ling; Ouyang, Jie; Zheng, Supei Multiscale analysis and numerical simulation for stability of the incompressible flow of a Maxwell fluid. (English) Zbl 1185.76590 Appl. Math. Modelling 34, No. 3, 763-775 (2010). MSC: 76E09 PDFBibTeX XMLCite \textit{L. Zhang} et al., Appl. Math. Modelling 34, No. 3, 763--775 (2010; Zbl 1185.76590) Full Text: DOI