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ORCIDBibTeX records: Hehu Xie
@article{DBLP:journals/jcphy/WangX24,
author = {Yifan Wang and
Hehu Xie},
title = {Computing multi-eigenpairs of high-dimensional eigenvalue problems
using tensor neural networks},
journal = {J. Comput. Phys.},
volume = {506},
pages = {112928},
year = {2024},
url = {https://doi.org/10.1016/j.jcp.2024.112928},
doi = {10.1016/J.JCP.2024.112928},
timestamp = {Fri, 31 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/WangX24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2401-04063,
author = {Yue Feng and
Zhijin Guan and
Hehu Xie and
Chenguang Zhou},
title = {Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin
Finite Element Method},
journal = {CoRR},
volume = {abs/2401.04063},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2401.04063},
doi = {10.48550/ARXIV.2401.04063},
eprinttype = {arXiv},
eprint = {2401.04063},
timestamp = {Wed, 24 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2401-04063.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2402-00040,
author = {Hongtao Chen and
Rui Fu and
Yifan Wang and
Hehu Xie},
title = {Solving High-dimensional Parametric Elliptic Equation Using Tensor
Neural Network},
journal = {CoRR},
volume = {abs/2402.00040},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2402.00040},
doi = {10.48550/ARXIV.2402.00040},
eprinttype = {arXiv},
eprint = {2402.00040},
timestamp = {Fri, 09 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2402-00040.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-16380,
author = {Zhongshuo Lin and
Haochen Liu and
Hehu Xie},
title = {Tensor Neural Network Based Machine Learning Method for Elliptic Multiscale
Problems},
journal = {CoRR},
volume = {abs/2403.16380},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.16380},
doi = {10.48550/ARXIV.2403.16380},
eprinttype = {arXiv},
eprint = {2403.16380},
timestamp = {Tue, 09 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-16380.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2404-07805,
author = {Yongxin Li and
Zhongshuo Lin and
Yifan Wang and
Hehu Xie},
title = {Tensor Neural Network Interpolation and Its Applications},
journal = {CoRR},
volume = {abs/2404.07805},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2404.07805},
doi = {10.48550/ARXIV.2404.07805},
eprinttype = {arXiv},
eprint = {2404.07805},
timestamp = {Thu, 16 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2404-07805.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2404-19249,
author = {Guanghui Hu and
Hehu Xie and
Fei Xu and
Gang Zhao},
title = {A Nonnested Augmented Subspace Method for Kohn-Sham Equation},
journal = {CoRR},
volume = {abs/2404.19249},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2404.19249},
doi = {10.48550/ARXIV.2404.19249},
eprinttype = {arXiv},
eprint = {2404.19249},
timestamp = {Mon, 27 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2404-19249.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2405-00399,
author = {Zhijin Guan and
Yifan Wang and
Hehu Xie and
Chenguang Zhou},
title = {Enhanced Error Estimates for Augmented Subspace Method with Crouzeix-Raviart
Element},
journal = {CoRR},
volume = {abs/2405.00399},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2405.00399},
doi = {10.48550/ARXIV.2405.00399},
eprinttype = {arXiv},
eprint = {2405.00399},
timestamp = {Sun, 09 Jun 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2405-00399.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ccfthpc/LiWX23,
author = {Yu Li and
Zijing Wang and
Hehu Xie},
title = {{GCGE:} a package for solving large scale eigenvalue problems by parallel
block damping inverse power method},
journal = {{CCF} Trans. High Perform. Comput.},
volume = {5},
number = {2},
pages = {171--190},
year = {2023},
url = {https://doi.org/10.1007/s42514-023-00135-1},
doi = {10.1007/S42514-023-00135-1},
timestamp = {Fri, 07 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ccfthpc/LiWX23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HuXX23,
author = {Guanghui Hu and
Hehu Xie and
Fei Xu},
title = {On accelerating a multilevel correction adaptive finite element method
for Kohn-Sham equation},
journal = {J. Comput. Phys.},
volume = {472},
pages = {111674},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2022.111674},
doi = {10.1016/J.JCP.2022.111674},
timestamp = {Sun, 15 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/HuXX23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DangXZZ23,
author = {Haikun Dang and
Hehu Xie and
Gang Zhao and
Chenguang Zhou},
title = {A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems
with Curved Interfaces},
journal = {J. Sci. Comput.},
volume = {94},
number = {1},
pages = {34},
year = {2023},
url = {https://doi.org/10.1007/s10915-022-02089-y},
doi = {10.1007/S10915-022-02089-Y},
timestamp = {Sun, 15 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/DangXZZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XieXYZ23,
author = {Hehu Xie and
Manting Xie and
Xiaobo Yin and
Gang Zhao},
title = {An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue
Problems in Bose-Einstein Condensates},
journal = {J. Sci. Comput.},
volume = {94},
number = {2},
pages = {37},
year = {2023},
url = {https://doi.org/10.1007/s10915-022-02093-2},
doi = {10.1007/S10915-022-02093-2},
timestamp = {Tue, 31 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XieXYZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DangWXZ23,
author = {Haikun Dang and
Yifan Wang and
Hehu Xie and
Chenguang Zhou},
title = {Enhanced Error Estimates for Augmented Subspace Method},
journal = {J. Sci. Comput.},
volume = {94},
number = {2},
pages = {40},
year = {2023},
url = {https://doi.org/10.1007/s10915-022-02090-5},
doi = {10.1007/S10915-022-02090-5},
timestamp = {Tue, 31 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/DangWXZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2311-02732,
author = {Yifan Wang and
Zhongshuo Lin and
Yangfei Liao and
Haochen Liu and
Hehu Xie},
title = {Solving High Dimensional Partial Differential Equations Using Tensor
Neural Network and {A} Posteriori Error Estimators},
journal = {CoRR},
volume = {abs/2311.02732},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2311.02732},
doi = {10.48550/ARXIV.2311.02732},
eprinttype = {arXiv},
eprint = {2311.02732},
timestamp = {Wed, 08 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2311-02732.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/DuXY22,
author = {Qiang Du and
Hehu Xie and
Xiaobo Yin},
title = {On the Convergence to Local Limit of Nonlocal Models with Approximated
Interaction Neighborhoods},
journal = {{SIAM} J. Numer. Anal.},
volume = {60},
number = {4},
pages = {2046--2068},
year = {2022},
url = {https://doi.org/10.1137/21m1448227},
doi = {10.1137/21M1448227},
timestamp = {Fri, 19 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/DuXY22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hpcc/JinXDQJ22,
author = {Jiexi Jin and
Hehu Xie and
Peibing Du and
Zhe Quan and
Hao Jiang},
title = {Design and Implementation of Compensated Gram-Schmidt Algorithm},
booktitle = {24th {IEEE} Int Conf on High Performance Computing {\&} Communications;
8th Int Conf on Data Science {\&} Systems; 20th Int Conf on Smart
City; 8th Int Conf on Dependability in Sensor, Cloud {\&} Big
Data Systems {\&} Application, HPCC/DSS/SmartCity/DependSys 2022,
Hainan, China, December 18-20, 2022},
pages = {870--875},
publisher = {{IEEE}},
year = {2022},
url = {https://doi.org/10.1109/HPCC-DSS-SmartCity-DependSys57074.2022.00141},
doi = {10.1109/HPCC-DSS-SMARTCITY-DEPENDSYS57074.2022.00141},
timestamp = {Thu, 06 Apr 2023 11:34:00 +0200},
biburl = {https://dblp.org/rec/conf/hpcc/JinXDQJ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2202-11914,
author = {Qichen Hong and
Hehu Xie and
Fei Xu},
title = {An Efficient Adaptive Finite Element Method for Eigenvalue Problems},
journal = {CoRR},
volume = {abs/2202.11914},
year = {2022},
url = {https://arxiv.org/abs/2202.11914},
eprinttype = {arXiv},
eprint = {2202.11914},
timestamp = {Wed, 02 Mar 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2202-11914.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2207-02754,
author = {Yifan Wang and
Pengzhan Jin and
Hehu Xie},
title = {Tensor Neural Network and Its Numerical Integration},
journal = {CoRR},
volume = {abs/2207.02754},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2207.02754},
doi = {10.48550/ARXIV.2207.02754},
eprinttype = {arXiv},
eprint = {2207.02754},
timestamp = {Wed, 13 Jul 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2207-02754.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2211-16548,
author = {Yangfei Liao and
Yifan Wang and
Hehu Xie},
title = {Solving High Dimensional Partial Differential Equations Using Tensor
Type Discretization and Optimization Process},
journal = {CoRR},
volume = {abs/2211.16548},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2211.16548},
doi = {10.48550/ARXIV.2211.16548},
eprinttype = {arXiv},
eprint = {2211.16548},
timestamp = {Fri, 02 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2211-16548.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2212-14520,
author = {Biyi Wang and
Hengbin An and
Hehu Xie and
Zeyao Mo},
title = {A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue
Problems},
journal = {CoRR},
volume = {abs/2212.14520},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2212.14520},
doi = {10.48550/ARXIV.2212.14520},
eprinttype = {arXiv},
eprint = {2212.14520},
timestamp = {Sun, 08 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2212-14520.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-02824,
author = {Guanghui Hu and
Hehu Xie and
Fei Xu},
title = {On accelerating a multilevel correction adaptive finite element method
for Kohn-Sham equation},
journal = {CoRR},
volume = {abs/2103.02824},
year = {2021},
url = {https://arxiv.org/abs/2103.02824},
eprinttype = {arXiv},
eprint = {2103.02824},
timestamp = {Mon, 15 Mar 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-02824.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2106-00548,
author = {Haikun Dang and
Yifan Wang and
Hehu Xie and
Chenguang Zhou},
title = {Enhanced Error Estimates for Augmented Subspace Method},
journal = {CoRR},
volume = {abs/2106.00548},
year = {2021},
url = {https://arxiv.org/abs/2106.00548},
eprinttype = {arXiv},
eprint = {2106.00548},
timestamp = {Wed, 09 Jun 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2106-00548.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2109-12485,
author = {Qiang Du and
Hehu Xie and
Xiaobo Yin},
title = {On some nonlocal models with radially symmetric interaction domains
and the effect of domain truncation},
journal = {CoRR},
volume = {abs/2109.12485},
year = {2021},
url = {https://arxiv.org/abs/2109.12485},
eprinttype = {arXiv},
eprint = {2109.12485},
timestamp = {Sun, 19 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2109-12485.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2111-06552,
author = {Yu Li and
Zijing Wang and
Hehu Xie},
title = {{GCGE:} {A} Package for Solving Large Scale Eigenvalue Problems by
Parallel Block Damping Inverse Power Method},
journal = {CoRR},
volume = {abs/2111.06552},
year = {2021},
url = {https://arxiv.org/abs/2111.06552},
eprinttype = {arXiv},
eprint = {2111.06552},
timestamp = {Tue, 16 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2111-06552.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/LuoXXX20,
author = {Fusheng Luo and
Hehu Xie and
Manting Xie and
Fei Xu},
title = {Adaptive time-stepping algorithms for molecular beam epitaxy: Based
on energy or roughness},
journal = {Appl. Math. Lett.},
volume = {99},
year = {2020},
url = {https://doi.org/10.1016/j.aml.2019.07.022},
doi = {10.1016/J.AML.2019.07.022},
timestamp = {Sat, 12 Oct 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/appml/LuoXXX20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/TianXYZ20,
author = {Jian Tian and
Hehu Xie and
Kai Yang and
Ran Zhang},
title = {Analysis of continuous collocation solutions for nonlinear functional
equations with vanishing delays},
journal = {Comput. Appl. Math.},
volume = {39},
number = {1},
year = {2020},
url = {https://doi.org/10.1007/s40314-019-0990-6},
doi = {10.1007/S40314-019-0990-6},
timestamp = {Fri, 21 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cam/TianXYZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ccfthpc/LiXXYZ20,
author = {Yu Li and
Hehu Xie and
Ran Xu and
Chun'guang You and
Ning Zhang},
title = {A parallel generalized conjugate gradient method for large scale eigenvalue
problems},
journal = {{CCF} Trans. High Perform. Comput.},
volume = {2},
number = {2},
pages = {111--122},
year = {2020},
url = {https://doi.org/10.1007/s42514-020-00029-6},
doi = {10.1007/S42514-020-00029-6},
timestamp = {Thu, 14 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/ccfthpc/LiXXYZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/XuXZ20,
author = {Fei Xu and
Hehu Xie and
Ning Zhang},
title = {A Parallel Augmented Subspace Method for Eigenvalue Problems},
journal = {{SIAM} J. Sci. Comput.},
volume = {42},
number = {5},
pages = {A2655--A2677},
year = {2020},
url = {https://doi.org/10.1137/19M128452X},
doi = {10.1137/19M128452X},
timestamp = {Tue, 01 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/XuXZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2008-07691,
author = {Haikun Dang and
Hehu Xie and
Gang Zhao and
Chenguang Zhou},
title = {A Nonnested Augmented Subspace Method for Eigenvalue Problems with
Curved Interfaces},
journal = {CoRR},
volume = {abs/2008.07691},
year = {2020},
url = {https://arxiv.org/abs/2008.07691},
eprinttype = {arXiv},
eprint = {2008.07691},
timestamp = {Fri, 21 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2008-07691.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhaiXZZ19,
author = {Qilong Zhai and
Hehu Xie and
Ran Zhang and
Zhimin Zhang},
title = {Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue
Problem},
journal = {J. Sci. Comput.},
volume = {79},
number = {2},
pages = {914--934},
year = {2019},
url = {https://doi.org/10.1007/s10915-018-0877-5},
doi = {10.1007/S10915-018-0877-5},
timestamp = {Wed, 19 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/ZhaiXZZ19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XieX19,
author = {Hehu Xie and
Manting Xie},
title = {Computable Error Estimates for Ground State Solution of Bose-Einstein
Condensates},
journal = {J. Sci. Comput.},
volume = {81},
number = {2},
pages = {1072--1087},
year = {2019},
url = {https://doi.org/10.1007/s10915-019-01051-9},
doi = {10.1007/S10915-019-01051-9},
timestamp = {Thu, 07 Nov 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XieX19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/YouXL19,
author = {Chun'guang You and
Hehu Xie and
Xuefeng Liu},
title = {Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {3},
pages = {1395--1410},
year = {2019},
url = {https://doi.org/10.1137/18M1189592},
doi = {10.1137/18M1189592},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/YouXL19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/XieZO19,
author = {Hehu Xie and
Lei Zhang and
Houman Owhadi},
title = {Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical
Subspace Correction},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {6},
pages = {2519--2550},
year = {2019},
url = {https://doi.org/10.1137/18M1194079},
doi = {10.1137/18M1194079},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/XieZO19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1908-10251,
author = {Fei Xu and
Hehu Xie and
Ning Zhang},
title = {An Eigenwise Parallel Augmented Subspace Method for Eigenvalue Problems},
journal = {CoRR},
volume = {abs/1908.10251},
year = {2019},
url = {http://arxiv.org/abs/1908.10251},
eprinttype = {arXiv},
eprint = {1908.10251},
timestamp = {Fri, 30 Aug 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1908-10251.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HuXX18,
author = {Guanghui Hu and
Hehu Xie and
Fei Xu},
title = {A multilevel correction adaptive finite element method for Kohn-Sham
equation},
journal = {J. Comput. Phys.},
volume = {355},
pages = {436--449},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2017.11.024},
doi = {10.1016/J.JCP.2017.11.024},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/HuXX18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DiXY18,
author = {Yana Di and
Hehu Xie and
Xiaobo Yin},
title = {Anisotropic Meshes and Stabilization Parameter Design of Linear {SUPG}
Method for 2D Convection-Dominated Convection-Diffusion Equations},
journal = {J. Sci. Comput.},
volume = {76},
number = {1},
pages = {48--68},
year = {2018},
url = {https://doi.org/10.1007/s10915-017-0610-9},
doi = {10.1007/S10915-017-0610-9},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/DiXY18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/HongXX18,
author = {Qichen Hong and
Hehu Xie and
Fei Xu},
title = {A Multilevel Correction Type of Adaptive Finite Element Method for
Eigenvalue Problems},
journal = {{SIAM} J. Sci. Comput.},
volume = {40},
number = {6},
pages = {A4208--A4235},
year = {2018},
url = {https://doi.org/10.1137/17M1138157},
doi = {10.1137/17M1138157},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/HongXX18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XieW17,
author = {Hehu Xie and
Xinming Wu},
title = {A Multilevel Correction Method for Interior Transmission Eigenvalue
Problem},
journal = {J. Sci. Comput.},
volume = {72},
number = {2},
pages = {586--604},
year = {2017},
url = {https://doi.org/10.1007/s10915-017-0367-1},
doi = {10.1007/S10915-017-0367-1},
timestamp = {Thu, 20 Jul 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/XieW17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GongXY17,
author = {Wei Gong and
Hehu Xie and
Ningning Yan},
title = {Adaptive Multilevel Correction Method for Finite Element Approximations
of Elliptic Optimal Control Problems},
journal = {J. Sci. Comput.},
volume = {72},
number = {2},
pages = {820--841},
year = {2017},
url = {https://doi.org/10.1007/s10915-017-0386-y},
doi = {10.1007/S10915-017-0386-Y},
timestamp = {Tue, 04 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GongXY17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChenXX16,
author = {Hongtao Chen and
Hehu Xie and
Fei Xu},
title = {A full multigrid method for eigenvalue problems},
journal = {J. Comput. Phys.},
volume = {322},
pages = {747--759},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.07.009},
doi = {10.1016/J.JCP.2016.07.009},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChenXX16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/XieY15,
author = {Hehu Xie and
Xiaobo Yin},
title = {Acceleration of stabilized finite element discretizations for the
Stokes eigenvalue problem},
journal = {Adv. Comput. Math.},
volume = {41},
number = {4},
pages = {799--812},
year = {2015},
url = {https://doi.org/10.1007/s10444-014-9386-8},
doi = {10.1007/S10444-014-9386-8},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/XieY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XieZ15,
author = {Hehu Xie and
Tao Zhou},
title = {A multilevel finite element method for Fredholm integral eigenvalue
problems},
journal = {J. Comput. Phys.},
volume = {303},
pages = {173--184},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2015.09.043},
doi = {10.1016/J.JCP.2015.09.043},
timestamp = {Sun, 30 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/XieZ15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/LinX15,
author = {Qun Lin and
Hehu Xie},
title = {A multi-level correction scheme for eigenvalue problems},
journal = {Math. Comput.},
volume = {84},
number = {291},
pages = {71--88},
year = {2015},
url = {https://doi.org/10.1090/S0025-5718-2014-02825-1},
doi = {10.1090/S0025-5718-2014-02825-1},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/LinX15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/QiaoTX15,
author = {Zhonghua Qiao and
Tao Tang and
Hehu Xie},
title = {Error Analysis of a Mixed Finite Element Method for the Molecular
Beam Epitaxy Model},
journal = {{SIAM} J. Numer. Anal.},
volume = {53},
number = {1},
pages = {184--205},
year = {2015},
url = {https://doi.org/10.1137/120902410},
doi = {10.1137/120902410},
timestamp = {Mon, 05 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/QiaoTX15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/GongXY15,
author = {Wei Gong and
Hehu Xie and
Ningning Yan},
title = {A Multilevel Correction Method for Optimal Controls of Elliptic Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {37},
number = {5},
year = {2015},
url = {https://doi.org/10.1137/140990255},
doi = {10.1137/140990255},
timestamp = {Tue, 04 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/GongXY15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/LinLX14,
author = {Qun Lin and
Fusheng Luo and
Hehu Xie},
title = {A posterior error estimator and lower bound of a nonconforming finite
element method},
journal = {J. Comput. Appl. Math.},
volume = {265},
pages = {243--254},
year = {2014},
url = {https://doi.org/10.1016/j.cam.2013.09.030},
doi = {10.1016/J.CAM.2013.09.030},
timestamp = {Tue, 16 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/LinLX14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XieY14,
author = {Hehu Xie and
Xiaobo Yin},
title = {Metric tensors for the interpolation error and its gradient in \emph{L}\({}^{\mbox{\emph{p}}}\)
norm},
journal = {J. Comput. Phys.},
volume = {256},
pages = {543--562},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2013.09.008},
doi = {10.1016/J.JCP.2013.09.008},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XieY14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/Xie14,
author = {Hehu Xie},
title = {A multigrid method for eigenvalue problem},
journal = {J. Comput. Phys.},
volume = {274},
pages = {550--561},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.06.030},
doi = {10.1016/J.JCP.2014.06.030},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/Xie14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/JiSX14,
author = {Xia Ji and
Jiguang Sun and
Hehu Xie},
title = {A Multigrid Method for Helmholtz Transmission Eigenvalue Problems},
journal = {J. Sci. Comput.},
volume = {60},
number = {2},
pages = {276--294},
year = {2014},
url = {https://doi.org/10.1007/s10915-013-9794-9},
doi = {10.1007/S10915-013-9794-9},
timestamp = {Thu, 02 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/JiSX14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/LinXX14,
author = {Qun Lin and
Hehu Xie and
Jinchao Xu},
title = {Lower bounds of the discretization error for piecewise polynomials},
journal = {Math. Comput.},
volume = {83},
number = {285},
pages = {1--13},
year = {2014},
url = {https://doi.org/10.1090/S0025-5718-2013-02724-X},
doi = {10.1090/S0025-5718-2013-02724-X},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/LinXX14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/TangXY13,
author = {Tao Tang and
Hehu Xie and
Xiaobo Yin},
title = {High-Order Convergence of Spectral Deferred Correction Methods on
General Quadrature Nodes},
journal = {J. Sci. Comput.},
volume = {56},
number = {1},
pages = {1--13},
year = {2013},
url = {https://doi.org/10.1007/s10915-012-9657-9},
doi = {10.1007/S10915-012-9657-9},
timestamp = {Tue, 03 Sep 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/TangXY13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/HuangXB13,
author = {Qiumei Huang and
Hehu Xie and
Hermann Brunner},
title = {The hp Discontinuous Galerkin Method for Delay Differential Equations
with Nonlinear Vanishing Delay},
journal = {{SIAM} J. Sci. Comput.},
volume = {35},
number = {3},
year = {2013},
url = {https://doi.org/10.1137/120901416},
doi = {10.1137/120901416},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/HuangXB13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/EichelTX11,
author = {Hagen Eichel and
Lutz Tobiska and
Hehu Xie},
title = {Supercloseness and superconvergence of stabilized low-order finite
element discretizations of the Stokes Problem},
journal = {Math. Comput.},
volume = {80},
number = {274},
pages = {697--722},
year = {2011},
url = {https://doi.org/10.1090/S0025-5718-2010-02404-4},
doi = {10.1090/S0025-5718-2010-02404-4},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/EichelTX11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/HuangXB11,
author = {Qiumei Huang and
Hehu Xie and
Hermann Brunner},
title = {Superconvergence of Discontinuous Galerkin Solutions for Delay Differential
Equations of Pantograph Type},
journal = {{SIAM} J. Sci. Comput.},
volume = {33},
number = {5},
pages = {2664--2684},
year = {2011},
url = {https://doi.org/10.1137/110824632},
doi = {10.1137/110824632},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/HuangXB11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/XieZB11,
author = {Hehu Xie and
Ran Zhang and
Hermann Brunner},
title = {Collocation Methods for General Volterra Functional Integral Equations
with Vanishing Delays},
journal = {{SIAM} J. Sci. Comput.},
volume = {33},
number = {6},
pages = {3303--3332},
year = {2011},
url = {https://doi.org/10.1137/100818595},
doi = {10.1137/100818595},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/XieZB11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BrunnerHX10,
author = {Hermann Brunner and
Qiumei Huang and
Hehu Xie},
title = {Discontinuous Galerkin Methods for Delay Differential Equations of
Pantograph Type},
journal = {{SIAM} J. Numer. Anal.},
volume = {48},
number = {5},
pages = {1944--1967},
year = {2010},
url = {https://doi.org/10.1137/090771922},
doi = {10.1137/090771922},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/BrunnerHX10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/Xie08,
author = {Hehu Xie},
title = {Extrapolation of the N{\'{e}}d{\'{e}}lec element for the
Maxwell equations by the mixed finite element method},
journal = {Adv. Comput. Math.},
volume = {29},
number = {2},
pages = {135--145},
year = {2008},
url = {https://doi.org/10.1007/s10444-007-9047-2},
doi = {10.1007/S10444-007-9047-2},
timestamp = {Sun, 28 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/Xie08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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