Du, Qiang; Han, Houde; Zhang, Jiwei; Zheng, Chunxiong Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. (English) Zbl 1392.82036 SIAM J. Sci. Comput. 40, No. 3, A1430-A1445 (2018). MSC: 82C21 65R20 65M60 46N20 45A05 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Sci. Comput. 40, No. 3, A1430--A1445 (2018; Zbl 1392.82036) Full Text: DOI
Brunner, Hermann; Han, Houde; Yin, Dongsheng The maximum principle for time-fractional diffusion equations and its application. (English) Zbl 1333.65093 Numer. Funct. Anal. Optim. 36, No. 10, 1307-1321 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{H. Brunner} et al., Numer. Funct. Anal. Optim. 36, No. 10, 1307--1321 (2015; Zbl 1333.65093) Full Text: DOI
Brunner, Hermann; Han, Houde; Yin, Dongsheng Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain. (English) Zbl 1349.65272 J. Comput. Phys. 276, 541-562 (2014). MSC: 65M06 PDFBibTeX XMLCite \textit{H. Brunner} et al., J. Comput. Phys. 276, 541--562 (2014; Zbl 1349.65272) Full Text: DOI
Han, Houde; Wu, Xiaonan A survey on artificial boundary method. (English) Zbl 1304.35490 Sci. China, Math. 56, No. 12, 2439-2488 (2013). MSC: 35Q30 65M06 65M12 65M85 65N06 65N12 65N85 35J47 35J05 PDFBibTeX XMLCite \textit{H. Han} and \textit{X. Wu}, Sci. China, Math. 56, No. 12, 2439--2488 (2013; Zbl 1304.35490) Full Text: DOI
Zhang, Jiwei; Han, Houde; Brunner, Hermann Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\). (English) Zbl 1244.65128 J. Sci. Comput. 49, No. 3, 367-382 (2011). MSC: 65M06 35K58 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Sci. Comput. 49, No. 3, 367--382 (2011; Zbl 1244.65128) Full Text: DOI
Han, Houde; Zhang, Zhiwen Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings. (English) Zbl 1210.65155 J. Comput. Phys. 230, No. 4, 1319-1334 (2011). MSC: 65M06 35Q40 81Q05 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Zhang}, J. Comput. Phys. 230, No. 4, 1319--1334 (2011; Zbl 1210.65155) Full Text: DOI
Han, Houde; Zhang, Zhiwen An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain. (English) Zbl 1162.65377 Appl. Numer. Math. 59, No. 7, 1568-1583 (2009). MSC: 65M06 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Zhang}, Appl. Numer. Math. 59, No. 7, 1568--1583 (2009; Zbl 1162.65377) Full Text: DOI
Han, Houde; Zhang, Zhiwen Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. (English) Zbl 1152.65092 J. Comput. Phys. 227, No. 20, 8992-9004 (2008). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Zhang}, J. Comput. Phys. 227, No. 20, 8992--9004 (2008; Zbl 1152.65092) Full Text: DOI
Han, Houde; Sun, Zhi-Zhong; Wu, Xiao-Nan Convergence of a difference scheme for the heat equation in a long strip by artificial boundary conditions. (English) Zbl 1133.65070 Numer. Methods Partial Differ. Equations 24, No. 1, 272-295 (2008). Reviewer: Aniket Mahanti (Saint John) MSC: 65M12 65M06 35K05 PDFBibTeX XMLCite \textit{H. Han} et al., Numer. Methods Partial Differ. Equations 24, No. 1, 272--295 (2008; Zbl 1133.65070) Full Text: DOI
Xu, Zhenli; Han, Houde; Wu, Xiaonan Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. (English) Zbl 1343.65114 J. Comput. Phys. 225, No. 2, 1577-1589 (2007). MSC: 65M06 PDFBibTeX XMLCite \textit{Z. Xu} et al., J. Comput. Phys. 225, No. 2, 1577--1589 (2007; Zbl 1343.65114) Full Text: DOI arXiv
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains. (English) Zbl 1104.65125 J. Comput. Appl. Math. 197, No. 2, 406-420 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{H. Han} et al., J. Comput. Appl. Math. 197, No. 2, 406--420 (2006; Zbl 1104.65125) Full Text: DOI
Han, Houde; Wen, Xin The global artificial boundary conditions for numerical simulations of the flow around a submerged body. (English) Zbl 1138.76322 Comput. Math. Appl. 50, No. 8-9, 1499-1512 (2005). MSC: 76B07 65N30 76M10 PDFBibTeX XMLCite \textit{H. Han} and \textit{X. Wen}, Comput. Math. Appl. 50, No. 8--9, 1499--1512 (2005; Zbl 1138.76322) Full Text: DOI
Han, Houde; Jin, Jicheng; Wu, Xiaonan A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. (English) Zbl 1092.65071 Comput. Math. Appl. 50, No. 8-9, 1345-1362 (2005). Reviewer: F. A. da Costa (Natal) MSC: 65M06 65M12 35Q40 81Q05 PDFBibTeX XMLCite \textit{H. Han} et al., Comput. Math. Appl. 50, No. 8--9, 1345--1362 (2005; Zbl 1092.65071) Full Text: DOI
Han, Houde; Zhu, Liang; Brunner, Hermann; Ma, Jingtang The numerical solution of parabolic Volterra integro-differential equations on unbounded spatial domains. (English) Zbl 1078.65126 Appl. Numer. Math. 55, No. 1, 83-99 (2005). Reviewer: Wolfgang zu Castell (Neuherberg) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{H. Han} et al., Appl. Numer. Math. 55, No. 1, 83--99 (2005; Zbl 1078.65126) Full Text: DOI
Han, Houde; Huang, Zhongyi Exact and approximating boundary conditions for the parabolic problems on unbounded domains. (English) Zbl 1030.35092 Comput. Math. Appl. 44, No. 5-6, 655-666 (2002). MSC: 35K05 65M06 65M60 35K20 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Huang}, Comput. Math. Appl. 44, No. 5--6, 655--666 (2002; Zbl 1030.35092) Full Text: DOI
Han, Houde; Zheng, Chunxiong Mixed finite element method and high-order local artificial boundary conditions for exterior problems of elliptic equation. (English) Zbl 1069.65127 Comput. Methods Appl. Mech. Eng. 191, No. 19-20, 2039-2055 (2002). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{H. Han} and \textit{C. Zheng}, Comput. Methods Appl. Mech. Eng. 191, No. 19--20, 2039--2055 (2002; Zbl 1069.65127) Full Text: DOI
Wu, Xiaonan; Han, Houde Discrete boundary conditions for problems with interface. (English) Zbl 0991.65120 Comput. Methods Appl. Mech. Eng. 190, No. 37-38, 4987-4998 (2001). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{X. Wu} and \textit{H. Han}, Comput. Methods Appl. Mech. Eng. 190, No. 37--38, 4987--4998 (2001; Zbl 0991.65120) Full Text: DOI
Bao, Weizhu; Han, Houde; Huang, Zhongyi Numerical simulations of fracture problems by coupling the FEM and the direct method of lines. (English) Zbl 1030.74048 Comput. Methods Appl. Mech. Eng. 190, No. 37-38, 4831-4846 (2001). MSC: 74S05 74R10 74B05 74G70 PDFBibTeX XMLCite \textit{W. Bao} et al., Comput. Methods Appl. Mech. Eng. 190, No. 37--38, 4831--4846 (2001; Zbl 1030.74048) Full Text: DOI
Han, Houde; Bao, Weizhu Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. (English) Zbl 0997.74060 Math. Comput. 70, No. 236, 1437-1459 (2001). MSC: 74S05 74B05 65N15 65N30 PDFBibTeX XMLCite \textit{H. Han} and \textit{W. Bao}, Math. Comput. 70, No. 236, 1437--1459 (2001; Zbl 0997.74060) Full Text: DOI
Bao, Weizhu; Han, Houde High-order local artificial boundary conditions for problems in unbounded domains. (English) Zbl 0957.65096 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 455-471 (2000). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{W. Bao} and \textit{H. Han}, Comput. Methods Appl. Mech. Eng. 188, No. 1--3, 455--471 (2000; Zbl 0957.65096) Full Text: DOI
Han, Houde; Bao, Weizhu The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines. (English) Zbl 0949.65127 Comput. Methods Appl. Mech. Eng. 179, No. 3-4, 345-360 (1999). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N40 65N30 35J05 PDFBibTeX XMLCite \textit{H. Han} and \textit{W. Bao}, Comput. Methods Appl. Mech. Eng. 179, No. 3--4, 345--360 (1999; Zbl 0949.65127) Full Text: DOI
Han, Houde; Bao, Weizhu; Wang, Tao Numerical simulation for the problem of infinite elastic foundation. (English) Zbl 0896.73058 Comput. Methods Appl. Mech. Eng. 147, No. 3-4, 369-385 (1997). MSC: 74S05 74S30 74B05 PDFBibTeX XMLCite \textit{H. Han} et al., Comput. Methods Appl. Mech. Eng. 147, No. 3--4, 369--385 (1997; Zbl 0896.73058) Full Text: DOI