Chambolle, Antonin; Kreutz, Leonard Crystallinity of the homogenized energy density of periodic lattice systems. (English) Zbl 1518.35046 Multiscale Model. Simul. 21, No. 1, 34-79 (2023). MSC: 35B27 49J45 82B20 82D40 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{L. Kreutz}, Multiscale Model. Simul. 21, No. 1, 34--79 (2023; Zbl 1518.35046) Full Text: DOI arXiv
Liu, Beilei; Chen, Huajie; Dusson, Geneviève; Fang, Jun; Gao, Xingyu An adaptive planewave method for electronic structure calculations. (English) Zbl 1487.65175 Multiscale Model. Simul. 20, No. 1, 524-550 (2022). MSC: 65N25 65N35 65N15 35Q40 PDFBibTeX XMLCite \textit{B. Liu} et al., Multiscale Model. Simul. 20, No. 1, 524--550 (2022; Zbl 1487.65175) Full Text: DOI arXiv
Luo, Tao; Xiang, Yang; Yang, Jerry Zhijian Finite temperatue Cauchy-Born rule and stability of crystalline solids with point defects. (English) Zbl 1483.74021 Multiscale Model. Simul. 19, No. 4, 1710-1735 (2021). MSC: 74E15 74A25 74F05 74B20 PDFBibTeX XMLCite \textit{T. Luo} et al., Multiscale Model. Simul. 19, No. 4, 1710--1735 (2021; Zbl 1483.74021) Full Text: DOI
Xu, Fei A cascadic adaptive finite element method for nonlinear eigenvalue problems in quantum physics. (English) Zbl 1435.65212 Multiscale Model. Simul. 18, No. 1, 198-220 (2020). MSC: 65N30 65N25 65L15 65B99 65N55 65N50 PDFBibTeX XMLCite \textit{F. Xu}, Multiscale Model. Simul. 18, No. 1, 198--220 (2020; Zbl 1435.65212) Full Text: DOI
Wang, Hao; Yang, Siyao Analysis of the residual-type and the gradient recovery-type a posteriori error estimators for a consistent atomistic-to-continuum coupling method in one-dimension. (English) Zbl 1450.65138 Multiscale Model. Simul. 16, No. 2, 679-709 (2018). Reviewer: Bülent Karasözen (Ankara) MSC: 65N12 65N15 70C20 PDFBibTeX XMLCite \textit{H. Wang} and \textit{S. Yang}, Multiscale Model. Simul. 16, No. 2, 679--709 (2018; Zbl 1450.65138) Full Text: DOI arXiv
Chen, Jingrun; García-Cervera, Carlos J.; Li, Xiantao An atomistic/continuum coupling method using enriched bases. (English) Zbl 1317.65224 Multiscale Model. Simul. 13, No. 3, 766-789 (2015). MSC: 65N15 74G15 70E55 PDFBibTeX XMLCite \textit{J. Chen} et al., Multiscale Model. Simul. 13, No. 3, 766--789 (2015; Zbl 1317.65224) Full Text: DOI arXiv Link
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui Adaptive finite element approximations for Kohn-Sham models. (English) Zbl 1316.35260 Multiscale Model. Simul. 12, No. 4, 1828-1869 (2014). MSC: 35Q55 65N15 65N25 65N30 81Q05 35P30 PDFBibTeX XMLCite \textit{H. Chen} et al., Multiscale Model. Simul. 12, No. 4, 1828--1869 (2014; Zbl 1316.35260) Full Text: DOI arXiv
Zhang, Lei; Cao, Liqun; Luo, Jianlan Multiscale analysis and computation for a stationary Schrödinger-Poisson system in heterogeneous nanostructures. (English) Zbl 1312.74016 Multiscale Model. Simul. 12, No. 4, 1561-1591 (2014). MSC: 74M10 74A60 65N30 35B27 35C20 35J57 65F10 35B50 PDFBibTeX XMLCite \textit{L. Zhang} et al., Multiscale Model. Simul. 12, No. 4, 1561--1591 (2014; Zbl 1312.74016) Full Text: DOI
Li, Xiantao; Ming, Pingbing A study on the quasi-continuum approximations of a one-dimensional fracture model. (English) Zbl 1312.74040 Multiscale Model. Simul. 12, No. 3, 1379-1400 (2014). MSC: 74S05 65N30 65N15 74A25 74R10 PDFBibTeX XMLCite \textit{X. Li} and \textit{P. Ming}, Multiscale Model. Simul. 12, No. 3, 1379--1400 (2014; Zbl 1312.74040) Full Text: DOI arXiv
Ortner, Christoph; Shapeev, Alexander V.; Zhang, Lei (In-)stability and stabilization of QNL-type atomistic-to-continuum coupling methods. (English) Zbl 1321.82037 Multiscale Model. Simul. 12, No. 3, 1258-1293 (2014). MSC: 82D20 65Q99 74S30 65N12 82-08 82C21 82C24 PDFBibTeX XMLCite \textit{C. Ortner} et al., Multiscale Model. Simul. 12, No. 3, 1258--1293 (2014; Zbl 1321.82037) Full Text: DOI arXiv Link
Schmidt, Bernd On the infinite particle limit in Lagrangian dynamics and convergence of optimal transportation meshfree methods. (English) Zbl 1370.37121 Multiscale Model. Simul. 12, No. 1, 265-289 (2014). MSC: 37J50 49Q20 65P10 70F45 PDFBibTeX XMLCite \textit{B. Schmidt}, Multiscale Model. Simul. 12, No. 1, 265--289 (2014; Zbl 1370.37121) Full Text: DOI arXiv