Fan, Yiming; Tian, Xiaochuan; Yang, Xiu; Li, Xingjie; Webster, Clayton; Yu, Yue An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems. (English) Zbl 07561048 J. Comput. Phys. 465, Article ID 111376, 28 p. (2022). MSC: 65Nxx 65Cxx 60Hxx PDFBibTeX XMLCite \textit{Y. Fan} et al., J. Comput. Phys. 465, Article ID 111376, 28 p. (2022; Zbl 07561048) Full Text: DOI arXiv
You, Huaiqian; Lu, Xin Yang; Trask, Nathaniel; Yu, Yue An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. (English) Zbl 1484.45010 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 811-851 (2021). Reviewer: Pierluigi Maponi (Camerino) MSC: 45K05 76R50 65R20 PDFBibTeX XMLCite \textit{H. You} et al., ESAIM, Math. Model. Numer. Anal. 55, 811--851 (2021; Zbl 1484.45010) Full Text: DOI
Yu, Yue; You, Huaiqian; Trask, Nathaniel An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture. (English) Zbl 1506.74506 Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021). MSC: 74S99 65M70 74A70 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021; Zbl 1506.74506) Full Text: DOI arXiv
You, Huaiqian; Lu, Xinyang; Task, Nathaniel; Yu, Yue An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. (English) Zbl 1474.45069 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1373-1413 (2020). MSC: 45K05 76R50 65R20 PDFBibTeX XMLCite \textit{H. You} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1373--1413 (2020; Zbl 1474.45069) Full Text: DOI arXiv
You, Huaiqian; Yu, Yue; Kamensky, David An asymptotically compatible formulation for local-to-nonlocal coupling problems without overlapping regions. (English) Zbl 1442.74244 Comput. Methods Appl. Mech. Eng. 366, Article ID 113038, 36 p. (2020). MSC: 74S05 45K05 35R09 65N30 74A15 PDFBibTeX XMLCite \textit{H. You} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113038, 36 p. (2020; Zbl 1442.74244) Full Text: DOI arXiv
Trask, Nathaniel; You, Huaiqian; Yu, Yue; Parks, Michael L. An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics. (English) Zbl 1440.74463 Comput. Methods Appl. Mech. Eng. 343, 151-165 (2019). MSC: 74S20 65M06 65D30 74A45 PDFBibTeX XMLCite \textit{N. Trask} et al., Comput. Methods Appl. Mech. Eng. 343, 151--165 (2019; Zbl 1440.74463) Full Text: DOI arXiv