Employment

Education

Research Interests

My research interests are numerical analysis of partial differential equations and scientific computing, in particular, nonstandard finite element methods (including adaptive and multilevel) for elasticity problems, the linearized Einstein-Bianchi system, eigenvalue problems, higher order partial differential equations, variational inequalities, interface problems, hybrid iterative algorithms based on both classical iterative algorithms and machine learning

Selected Honors and Awards

1. Fellow of China Society for Industrial and Applied Mathematics, 2025
2. First prize of the Natural Science Award from the Ministry of Education, 2022
3. Feng Kang Prize of Scientific Computing, 2019
4. National Science Fund for Distinguished Young Scholars of China, 2016
5. Mathematisches Forschungsinstitut Oberwolfach(MFO) gGmbH Simons Visiting Professor, 2016
6. First Youth Innovation Award of Computational Mathematics Branch of Chinese Mathematical Society, 2015
7. Pennsylvania State University Shapiro Scholar, 2010
8. National Outstanding Doctoral Dissertation, 2006
9. Humboldt Research Fellowship, 2004

Editorial Boards

1. Editorial Board, Mathematical Theory and Applications (2021-present)
2. Editorial Board, CSIAM Transactions on Applied Mathematics (2019-present)
3. Executive Editor, Advances in Applied Mathematics and Mechanics (2018-present)
4. Editorial Board, Journal of Computational Mathematics (2017-present)
5. Editorial Board, Computational Mathematics in Applied Mathematics (2017-present)
6. Editorial Board, Computer and Mathematics with Applications (2010-present)
7. Editorial Board, Advances in Applied Mathematics and Mechanics (2009-2018)

Selected Community Services

1. Advisor of Peking University SIAM Student Chapter (Sep. 2025 - present)
2. Member of the Executive Committee of China Society for Industrial and Applied Mathematics (Oct. 2025 - present)
3. Member of the Executive Committee of Chinese Mathematical Society (Dec. 2019 - present)
4. Member of the Executive Committee of Computational Mathematics Branch of Chinese Mathematical Society (Jul. 2021 - present)
5. Vice Director of Numerical Simulation Professional Committee of Chinese National Committee on Large Dams (2018 - present)
6. President of the Beijing Society of Computational Mathematics (Aug. 2017 - Aug. 2025)
7. Secretary General of the Beijing Society of Computational Mathematics (Aug. 2009 - Aug. 2017)

Selected Grants

1. Fundamental and Interdisciplinary Disciplines Breakthrough Plan of the Ministry of Education of China, (Co-PI, JYB2025XDXM204).
2. Dec. 2023 -Nov. 2026, Unveil Leading Project of Mathematics and Application Research of National Key R&D Program of China, Subject: Scientific computing and simulation softwares for the R&D needs of intelligent vehicles (Co-PI, Grant No. 2023YFA1011500).
3. Jan. 2023 -Dec. 2027, Fundamental Science Center Program of NNSF of China, Subject: Scientific computing and machine learning (Co-PI, Grant No. 12288101).
4. Jan. 2022 -Dec. 2022, Tianyuan Program of NNSF of China, Subject: High-order numerical methods for nonlocal differential and integral equations (PI, Grant No. 12126303).
5. Jan. 2018 -Dec. 2018, Tianyuan Program of NNSF of China, Subject: High accuracy numerical methods for nonlinear parabolic equations based on virtual element methods (PI, Grant No. 11726631).
6. Jan. 2017 -Dec. 2021, National Science Fund for Distinguished Young Scholars of China, Subject: Nonstandard finite element methods (PI, Grant No. 11625101).
7. Jan. 2015 -Dec. 2018, Major Research Plan of NNSF of China, Subject: High accuracy numerical methods for phase field and related mathematical problems (Co-PI, Grant No. 91430213).
8. Jan. 2013 -Dec. 2016, General Project of NNSF of China, Subject: High accuracy reliable numerical methods for nonlinear Kohn-Sham equations (PI, Grant No. 11271035).
9. Jan. 2011 -Dec. 2014, Key Program of NNSF of China, Subject: User-friendly and efficient numerical methods and applications (Co-PI, Grant No. 11031006).
10. Jan. 2010 -Dec. 2012, General Project of NNSF of China, Subject: Adaptive methods for Reisner-Mindlin plate problems and variational inequalities (PI, Grant No. 10971005).
11. Jan. 2007 -Dec. 2011, Special Project for Outstanding Doctoral Dissertation of the Ministry of Education, Subject: Adaptive nonstandard finite element methods for fourth-order linear and nonlinear problems (PI, Grant No. 200718).
12. Jan. 2007 -Dec. 2009, Young Scientists Fund of the NNSF of China, Subject: Adaptive methods for Reisner-Mindlin plate problems and variational inequalities (PI, Grant No. 10601003).

Selected Invited Conference Presentations

1. Distinguished Lecture in Applied Mathematics, The Hong Kong Polytechnic University, Feb. 27, 2026, Hong Kong, China.
2. Plenary Speaker, 2025 Scientific Annual Conference of Zhejiang Society of Mathematics, Dec. 6, 2025, Hangzhou,China.
3. Plenary Speaker, International Workshop on Scientific Computing and Biomedical Engineering, Nov. 7–8, 2025, Macao, China.
4. Plenary Speaker, Scientific Annual Conference of the Tianyuan Mathematical Center in Central China, Oct. 25-26, 2025, Wuhan, China.
5. Everest Forum Lecture of Shandong University, Aug. 21, 2025, China.
6. Plenary Speaker, The 8th Joint Conference of A3 Foresight Program on Computational and Applied Mathematics, Aug. 12–14, 2025, Yanji, China.
7. Plenary Speaker, The 12th National Conference on Finite Element Methods, Jul. 27–31, 2025, Kunming, China.
8. Distinguished Lecture in Applied Mathematics, The HongKong Polytechnic University, Jul. 7, 2025, China.
9. Plenary Speaker, The Fourth Guangdong-Hong Kong-Macao Academic Conference on Scientific Computing, May 17-18, 2025, Guangzhou, China.
10. Plenary Speaker, International Workshop on Computational Mathematics, May 14-18, 2025, Nanjing, China.
11. Plenary Speaker, The 8th Youth Scholars Academic Symposium on Dynamics of Multi-body Systems, Apr. 25-27, 2025, Nanjing, China.
12. Plenary Speaker, International Conference on Computational Methods in Applied Mathematics CMAM-10, Jun. 10–14, 2024, Bonn, Germany
13. Invited Speaker, Workshop on Advanced Finite Element Methods for Nonlinear PDEs, Mar. 4–8, 2024, Sanya, China
14. Invited Speaker, Workshop on Recent Advances in Scientific Computing and Deep Learing, Dec. 18–22, 2023, Sanya, China
15. Invited Speaker, International Conference on Computational Mathematics and Scientific Computing, Dec. 2–3, 2023, Beijing, China.
16. Invited Speaker, International Workshop on Computational Mathematics 2023, Oct. 16–20, 2023, Hangzhou, China.
17. Distinguished Lecture in City University, Hongkong, Jan. 11, 2023.
18. Everest Forum Lecture of Shandong University, Nov. 11, 2021, China.
19. Invited Speaker, Workshop on Nonstandard Finite Element Methods (Online), Jan. 11–15, 2021, Mathematisches Forschungsinstitut Oberwolfach gGmbH, Germany.
20. Jiang Lifu Lecture of Nankai University, Oct. 22, 2019, Tianjin, China.
21. The 13rd Fengkang Prize Lecture, The 12th National Conference on Computational Math, Jul. 31–Aug. 4, 2019, Harbin, China.
22. Plenary Speaker, The 2nd ECCOMAS Thematic Conference on Modern Finite Element Technologies - Mathematical and Mechanical Aspects (MFET 2019), Jul. 1–3, 2019, Bad Honnef, Germany.
23. Invited Speaker, The First/Second/Third/Fourth/Fifth/Sixth/Seventh/Eighth Chinese–German Workshop on Computational and Applied Mathematics, Sep. 5–9(2005)/Oct. 9–13 (2007) /Sep. 29–Oct. 2 (2009) /Sep. 26–30 (2011) /Sep. 21–25 (2015)/Oct. 9–13 (2017)/Aug. 19–23 (2019)/Sep. 23–27(2024), Berlin(Germany)/Hangzhou(China)/Heidelberg(Germany)/Guangzhou (China)/Augsburg(Germany)/Shanghai(China)/Kiel(Germany)/Chengdu (China).
24. Invited Speaker, International Conference on Computational Mathematics, Yonsei Uni., Sep. 29–Oct. 2, 2018, China.
25. Plenary Speaker, The 9th International Conference Numerical Methods and Applications, Aug. 20–24, 2018, Borovets, Bulgaria.
26. Invited Speaker, Workshop on Computational Engineeering, Oct. 21–26, 2018, Mathematisches Forschungsinstitut Oberwolfach gGmbH, Germany.
27. Invited Speaker, IAS Focused Program on Scientific Computing, Dec. 4–8, 2017, Hongkong, China.
28. Invited Speaker, Workshop on Adaptive Algorithms, Sep.18–24, 2016, Mathematisches Forschungsinstitut Oberwolfach gGmbH, Germany.
29. Plenary Speaker, SIAM : EASIAM Conference, Jun. 20–22, 2016, Macao SAR, China.
30. Invited Speaker, The Fifth China–Japan–Korea Conference on Numerical Mathematics, Aug. 26–29, 2014, Ningxia, China.
31. Invited Speaker, Robust Discretization and Fast Solvers for Computable Multi-Physics Models, ICERM, May 12–15, 2014, Providence, USA.
32. Invited Speaker, The Asian Mathematical Conference, Jun. 30–Jul. 4, 2013, Busan, Korea.
33. Plenary Speaker, The 8th National Conference on Finite Element Methods, Sep. 24–27, 2012, Tianjin, China.
34. Plenary Speaker, International Conference Computational Methods in Applied Mathematics CMAM-5, Jul. 30–Aug. 3, 2012, Berlin, Germany.
35. Invited Speaker, The Eighth International Conference on Scientific Computing and Applications, UNLV, Apr. 1–4, 2012, USA.
36. Plenary Speaker, International Symposium on Computational Science, Engineering and Finance, Jul. 28–31, 2011, Kunming, China.
37. Invited Speaker, Reliable Methods of Mathematical Modeling(RMMM)2011, Jul. 6–8, 2011, Lausanne, EPFL, Switzerland.
38. Plenary Speaker, The 9th National Conference on Computational Math, Sep. 19–22, 2009, Zhengzhou, China.

Selected Organized Academic Activities

1. Chair of the Organizing Committee, 2025 Summer School of Mixed Finite element Methods for elasticity, Jul. 11-24, 2025, Beijing, China.
2. Vice Chair of the Scientific Committee of Annual Scientific Congress of Chinese Mathematical Society 2024/2025, Oct. 31–Nov. 4 2024/Oct. 16–20 2025 Jiaxing(Zhejiang)/Binzhou(Shandong), China.
3. Member of the Scientific Committee of The 14th Annual Scientific Congress of China Society of Computational Mathematics, Aug. 17–21, Changsha, China.
4. Co-Chair of the Scientific Committee of the Third/Fourth/Fifth/Sixth/Seventh Jing (Beijing)–Jin(Tianjin)–Ji(Hebei) Conference on Computational Mathematics, Aug. 25–27 (2018)/Aug. 24–26 (2019)/Sep. 24–26 (2021)/Aug. 27–30(2023)/Aug. 22-24(2024)/Aug. 22-25(2025), Hengshui (Hebei)/Tianjin/Zhangjiakou (Hebei)/Taiyuan(Shanxi)/Hohhot(Inner Mongolia)/Jinan(Shandong), China.
5. Co-Chair of the Organizing Committee of the First/Second/Third/Fourth/Fifth Summer Activities on Numerical Method and Theory for Partial Differential Equations, Jul. 31–Aug. 18 (2017)/Jul.30–Aug. 18 (2018)/Jul. 24–Aug. 11 (2019)/Aug. 11–Aug. 28 (2024)/Aug. 3–Aug. 16 (2025), Guangzhou/Beijing/Chengdu/Hefei/Jilin, China.
6. Co-Chair of the Scientific Committee of the Sixth/Seventh/Eighth Chinese-German Workshop on Computational and Applied Mathematics, Oct. 9–13 (2017)/Aug. 19–23 (2019)/Sep. 23–27 (2024), Shanghai(China)/Kiel(Germany)/Chengdu(China).
7. Co-Organizer of Mini-symposium ”Advances in tensor finite element methods” at the CMAM-10 conference, Jun. 10–14, 2024, Bonn, Germany.
8. Co-Chair of the Executive Committee of the Ninth/Tenth/Eleventh/Twelveth National Conference on Finite Element Methods, Aug. 19–23 (2016)/Jul. 25–28 (2021)/Sep. 20– 24 (2023)/Jul. 27–31, Chengdu/Urumchi/Chongqing/Kunming, China.
9. Co-Organizer of Minisymposium “Non-standard finite element methods” at ICIAM 2023, Aug. 20-25, 2023, Tokyo, Japan.
10. Member of the Organizing Committee of Nonstandard Finite Element Methods Oberwolfach Workshop ID 2102 (Online), Jan. 11–15, 2021, Mathematisches Forschungsinstitut Oberwolfach gGmbH, Germany.
11. Member of the Scientific Committee of the Ninth International Conference on Numerical Methods and Applications NM&A’18, Aug. 20–24, 2018, Borovets, Bulgaria.
12. Co-Organizer of Oversea distinguished Lectures by Franco Brezzi, Dec. 7–9, 2016, Beijing, China.
13. Co-Organizer of 2015 PKU Summer Academic Activities on Numerical PDEs: International Workshop & Oversea distinguished Lectures by Douglas N. Arnold, Aug. 15–21, 2015, Beijing, China.
14. Co-Organizer of Minisymposium “Advances in Mixed Finite Element Methods for Linear elasticity” at ICIAM 2015, Aug. 10–14, 2015, Beijing, China.
15. Member of the Organizing Committee of Workshop on Multilevel and Adaptive Finite Element Methods, Aug. 28–30, 2009, Peking University, China.
16. Member of the Organizing Committee of International Conference on Multilevel Iterative Methods, Aug. 14-18, 2006, Peking University, China.

Postdocs and Students

1. Former Postdocs: Hua Wang (Xiangtan Uni.), Suna Ma (Nanjing Uni. of Posts and Tel.), Shijun Zou (Capital Normal Uni.), Hao Luo (Chongqing Normal Uni.), Jing Yang (Beijing Uni. of Tech.), Wenqiang Xiao (Uni. of Inner Mongolia), Min Ling (Uni. of Inner Mongolia), Hao Han (Wuhan Uni. of Tech.), Pengzhan Jin (Peking Uni.), Sidi Wu (China Uni. of Min. and Tech.), Xi Zhang (Chengdu Uni. of Tech.), Jiayin Li (Lanzhou Uni.).
2. Former Ph.D. Students: Quan Shen (Soochow Univ.), Jianye Wang (PLA), Xueqin Yang (Highschool No.12, Beijing), Rui Ma (Beijing Institute of Tech.), Limin Ma (Wuhan Univ.), Shudan Tian (Xiangtan Univ.), Yizhou Liang (Uni. Augsburg, Germany), Xuhao Diao (Huawei Co.), Wei Chen (Peking Uni. Chongqing Big Data Research Institute), Yuanxun Sun (Peking Uni. Chongqing Big Data Research Institute), Zhen Liu (Friedrich-Schiller-Universität Jena), Zihang Zhang (The Experimental High School Attached to Beijing Normal University).
3. Former Jointly supervised Ph.D. Students: Qingguo Hong (with Prof. Jinchao Xu, Missouri Univ. of Sci. and Tech.), Shihua Gong (with Prof. Jinchao Xu, The Chinese Uni. of HK, Shenzhen), Juncai He (with Prof. Jinchao Xu, Tsinghua Uni.), Lin Li (with Prof. Jinchao Xu, Huawei Co.), Min Zhang (with Prof. Qiang Du, Beijing Forestry Uni.).
4. Former Master Students: Longlong Jiang (JD Co.), Ying Cheng (PSBC), Yanru Liu (China Philately Co.), Qichen Zhang (Guangzhou Institute of Tech.), Jiasen Chen (Shanghai Tongdeng Asset Management Co., Ltd), Wenqian Zhang (ByteDance Co.).
5. Current Postdocs: Wei Chen, Yuanxun Sun, Mingyan Zhang, Jialue Li, Shu Xu, Chunyu Chen.
6. Current Ph.D. Students: Yutong Zhan, Ting Lin, Yifei Wu (Joint supervision with Prof. Zhimin Zhang), Qingyu Wu, Xiaoqian Chen, Xinyuan Du, Yuyang Guo, Weijun Zhang, Shengyang Xu.

Selected Papers

1. Jun Hu, Ting Lin, Qingyu Wu, and Beihui Yuan, The sharpness condition for constructing a finite element from a superspline, Math. Comp., https://doi.org/10.1090/mcom/4119.
2. Jun Hu and Limin Ma, A direct finite element method for elliptic interface problems, J. Sci. Comput., (2026) 106:48.
3. Jun Hu, Zhen Liu, and Rui Ma, The coupling of mixed and primal finite element methods for the coupled body-plate problem, Comput. Methods Appl. Mech. Engrg., 452(2026)118750.
4. Jun Hu and Pengzhan Jin, A hybrid iterative method based on MIONET for PDEs: theory and numerical examples, Math. Comp., 95(2026), pp.1327–1359.
5. Jun Hu, Rui Ma, and Yuanxun Sun, A new mixed finite element for the linear elasticity problem, J. Comput. Math., 43(2025), pp.1444–1468.
6. Jun Hu, Zhen Liu, Rui Ma, Ruishu Wang, A mixed finite element method for coupled plates, Comput. Methods Appl. Math. 25 (2025), pp.601–618.
7. Jun Hu, Ting Lin, and Qingyu Wu, A construction of Cʳ conforming finite element spaces in any dimension, Found. Comput. Math., 24(2024), pp.1941–1977.
8. Jun Hu, Ting Lin, and Qingyu Wu, Local Cʳ interpolations on simplicial grids in any dimension, Comput. Math. Appl., 154 (2024), pp.153–161.
9. Jun Hu, Yizhou Liang, Rui Ma, and Min Zhang, A family of conforming finite element Divdiv complexes on cuboid meshes, Numer. Math., 156(2024), pp.1603–1638.
10. Jun Hu, Yizhou Liang, and Ting Lin, Finite element Gradgrad complexes and elasticity complexes on cuboid meshes, J. Sci. Comput., 99(2024), No 50.
11. Jun Hu, Yizhou Liang, and Rui Ma, Conforming finite element Divdiv complexes and the application for the linearized Einstein-Bianchi system, SIAM J. Numer. Anal., 60(2022), pp.1307–1330.
12. Jun Hu and Limin Ma, Asymptotic expansions of eigenvalues by both Crouzeix–Raviart and enriched Crouzeix–Raviart elements, Math. Comp., 91(2022), pp.75–109.
13. Jun Hu, Rui Ma, and Min Zhang, A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids, Sci. China Math., 64(2021), pp.2793–2816.
14. Qingguo Hong, Jun Hu, Limin Ma, and Jinchao Xu, New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor, Numer. Math., 149(2021), pp.645–678.
15. Carsten Carstensen and Jun Hu, Hierarchical Argyris finite element method for adaptive and multigrid algorithms, Comput. Methods Appl. Math., 21(2021), pp.529–556.
16. Jun Hu and Yizhou Liang, Conforming discrete Gradgrad complexes in three dimensions, Math. Comp., 90(2021), pp.1637–1662.
17. Jun Hu and Rui Ma, Partial relaxation of C⁰ vertex continuity of stresses of conforming mixed finite elements for the elasticity problem, Comput. Methods Appl. Math., 21(2021), pp.89–108.
18. Jun Hu and Rui Ma, Nonconforming mixed finite elements for linear elasticity on simplicial grids, Numer. Meth. Part. Diff. Eq., 35(2019), pp.716–732.
19. Long Chen, Jun Hu, Xuehai Huang, and Hongying Man, Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems, Sci. China Math., 61(2018), pp.973–992.
20. Snorre H. Christiansen, Jun Hu, and Kaibo Hu, Nodal finite element de Rham complexes, Numer. Math., 139 (2018), pp.411–446.
21. Long Chen, Jun Hu, and Xuehai Huang, Fast auxiliary space preconditioners for linear elasticity in mixed form, Math. Comp., 87(2018), pp.1601–1633.
22. Jun Hu and Guozhu Yu, A unified analysis of quasi-optimal convergence for adaptive mixed finite element methods, SIAM J. Numer. Anal.,56 (2018), pp.296–316.
23. Jun Hu and Rui Ma, Conforming mixed triangular prism elements for the linear elasticity problem, Inter. J. Numer. Anal. Model., 15(2018), pp.228-242.
24. Long Chen, Jun Hu, and Xuehai Huang, Stabilized mixed finite element methods for linear elasticity on simplicial grids in Rⁿ, Comput. Methods. Appl. Math., 17(2017), pp.17–31.
25. Jun Hu and Rui Ma, Superconvergence of both the Crouzeix-Raviart and Morley elements, Numer. Math., 132(2016), pp.491–509.
26. Jun Hu, Hongying Man, Jianye Wang, and Shangyou Zhang, The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on n-rectangular grids, Comput. Math. Appl., 71(2016), pp.1317–1336.
27. Jun Hu and Shangyou Zhang, Finite element approximations of symmetric tensors on simplicial grids in Rⁿ : the lower order case, Math. Model. Meth. Appl. Sci., 26(2016), pp.1649–1669.
28. Jun Hu and Shangyou Zhang, The minimal Hᵏ conforming finite element spaces on rectangular grids, Math. Comp., 84 (2015), pp.563–579.
29. Carsten Carstensen and Jun Hu, An optimal adaptive finite element method for an obstacle problem, Comput. Meth. Appl. Math., 15(2015), pp.259–277.
30. Jun Hu, Yunqing Huang, and Quan Shen, Constructing both lower and upper bounds for the eigenvalues of elliptic operators by nonconforming finite element methods, Numer. Math., 131(2015), pp.273–302.
31. Jun Hu, A new family of efficient conforming mixed elements on both rectangular and cuboid meshes for linear elasticity in the symmetric formulation, SIAM J. Numer. Anal., 53(2015), pp.1438–1463.
32. Jun Hu, Finite element approximations of symmetric tensors on simplicial grids in any dimension: the higher order case, J. Comput. Math., 33(2015), pp.283–296.
33. Jun Hu and Shangyou Zhang, A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids, Sci. China Math., 58(2015), pp.297–307.
34. Jun Hu, Hongying Man, and Shangyou Zhang, A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension, J. Sci. Comput., 58 (2014), pp.367–379.
35. Jun Hu, Yunqing Huang, and Qun Lin, Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods, J. Sci. Comput., 61(2014), pp.196–221.
36. Jun Hu and Zhongci Shi, A lower bound of the L² norm error estimate for the Adini element of the biharmonic equation, SIAM J. Numer. Anal., 51(2013), pp.2651–2659.
37. Jun Hu and Jinchao Xu, Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem, J. Sci. Comput., 55(2013), pp.125–148.
38. Carsten Carstensen, Dietmar Gallistl, and Jun Hu, A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles, Numer. Math., 124(2013), pp.309–335.
39. Jun Hu and Zhongci Shi, The best L² norm error estimate of lower order finite element methods for the fourth order problem, J. Comput. Math., 30(2012), pp.449–460.
40. Jun Hu, Zhongci Shi, and Jinchao Xu, Convergence and optimality of the adaptive Morley element method, Numer. Math., 121(2012), pp.731–751.
41. Jun Hu and Yunqing Huang, A posteriori error analysis of finite element methods for Reissner-Mindlin plates, SIAM J. Numer. Anal., 47(2010), pp.4446–4472.
42. Hongying Man, Jun Hu and Zhongci Shi, Lower order rectangular nonconforming mixed finite element for the three-dimensional elasticity problem, Math. Model. Meth. Appl. Sci., 19 (2009), pp.51–65.
43. Carsten Carstensen and Jun Hu, A posteriori error estimators for conforming MITC elements for Reissner-Mindlin plates, Math. Comp., 77(2008), pp.611–632.
44. Carsten Carstensen and Jun Hu, A unifying theory of a posteriori error control for nonconforming finite element methods, Numer. Math., 107(2007), pp.473–502.
45. Jun Hu and Zhongci Shi, Lower order rectangular nonconforming mixed finite elements for plane elasticity, SIAM J. Numer. Anal., 46(2007), pp.88–102.