Publications

Last updated: January 06, 2023

2023

  1. T.N. Yang, C. Dai, and L.Q. Chen, Thermodynamics of Light-Induced Nanoscale Polar Structures in Ferroelectric Superlattices. Nano Letters, 2023. 23(7): p. 2551-2556: 10.1021/acs.nanolett.2c04586.
  2. Y. Shi and L.Q. Chen, Sublattice-Dependent Antiferromagnetic Transitions in Rare Earth Nickelates. Physical Review Letters, 2023. 130(18): 186801, 10.1103/PhysRevLett.130.186801.
  3. J.A. Zorn and L.Q. Chen, Machine-learning enabled construction of temperature-strain phase diagrams of ferroelectric thin films. Journal of Materials Research, 2023. 38(6): p. 1644-1656: 10.1557/s43578-023-00916-y.
  4. Y. Shi, V. Gopalan, and L.Q. Chen, Phase-field model of coupled insulator-metal transitions and oxygen vacancy redox reactions. Physical Review B Letters, 2023. 107 (20), 201110 (2023). 10.1103/PhysRevB.107.L201110.
  5. X.E. Zhao, L.Q. Chen, W.R. Hao, and Y.X. Zhao, Bifurcation Analysis Reveals Solution Structures of Phase Field Models. Communications on Applied Mathematics and Computation, 2023: 10.1007/s42967-022-00221-1.
  6. B.F. Yalcin, A.C. Suceava, T. Kuznetsova, K. Wang, V. Gopalan, and R. Engel-Herbert, R. Engel-Herbert, Stoichiometric control, strain engineering and optical properties of BaTiO3 films grown by hybrid MBE. Advanced Materials Interfaces 2023. 2300018: 2300018,
  7. X.F. Xu, L. Zhang, Y. Shi, L.Q. Chen, and J.C. Xu, Integral boundary conditions in phase field models. Computers & Mathematics with Applications, 2023. 135: p. 1-5: 10.1016/j.camwa.2022.11.025.
  8. Y. Wang, Y.H. Xiong, T.N. Yang, Y.K. Yuan, S.L. Shang, Z.K. Liu, V. Gopalan, I. Dabo, and L.Q. Chen, Thermodynamic and electron transport properties of Ca3Ru2O7 from first-principles phonon calculations and Boltzmann transport theory. Physical Review B, 2023. 107(3): 035118, 10.1103/PhysRevB.107.035118.
  9. Y.T. Shao, S. Das, Z.J. Hong, R.J. Xu, S. Chandrika, F. Gomez-Ortiz, P. Garcia-Fernandez, L.Q. Chen, H.Y. Hwang, J. Junquera, L.W. Martin, R. Ramesh, and D.A. Muller, Emergent chirality in a polar meron to skyrmion phase transition. Nature Communications, 2023. 14(1): 1355, 10.1038/s41467-023-36950-x.
  10. C. Addiego, J.A. Zorn, W.P. Gao, S. Das, J.Q. Wu, C.Q. Qu, L.M. Zhao, L.W. Martin, R. Ramesh, L.Q. Chen, and X.P. Pan, Multiscale Electric-Field Imaging of Polarization Vortex Structures in PbTiO3/SrTiO3 Superlattices. APL Materials, 2023. 11(5): 0146713, DOI: 10.1063/5.0146713.
  11. Morozovska, E. Eliseev, V. Gopalan, and L.Q. Chen, Landau-Ginzburg theory of coupled charge density waves and long-range order. Physical Review B, 2023.107 (17), 174104. 10.1103/PhysRevB.107.174104.
  12. L.Q. Chen, Second Law of Thermodynamics and Energy Dissipation. MRS Bulletin, 2023. Accepted.
  13. J.A. Zorn, T. Yang, and L.Q. Chen, Computational Characterization of Novel Ferroelectric Polar Structures. Computational Materials Science, 2023. Under review.
  14. J.A. Zorn, L.M. Ma, J. Xu, and L.Q. Chen, An Adaptive Time-Stepping Scheme for Phase-Field Equations. Computers and Mathematics with Applications, 2023. Under Revision:
  15. J.A. Zorn and L.Q. Chen, On Topological Polar Texture Formation in BaTiO3/SrTiO3 Superlattices. Applied Physics Letters, 2023. Under Revision.
  16. Y.C. Zhang, T. Kafle, W.J. You, X. Shi, L.J. Min, N. Li, V. Gopalan, K. Rossnagel, L.X. Yang, Z.Q. Mao, R. Nandkishore, H. Kapteyn, and M. Murnane, Bipolaronic nature of the pseudogap in (TaSe4)2I revealed via weak photoexcitation. arXiv preprint, 2023. arXiv:2203.05655.
  17. T.N. Yang, Y. Xiong, Y. Wang, Y. Shi, V. Gopalan, I. Dabo, and L.Q. Chen, Phase-field model of electron and lattice dynamics in correlated material systems. Physical Review Letters, 2023. Under revision:
  18. J. Xu and X. Xu, Lack of robustness and accuracy of most numerical schemes for phase-field simulations. Mathematical Models and Methods in Applied Sciences, 2023. Under review.
  19. Y. Wang, T.N. Yang, S.L. Shang, L.Q. Chen, and Z.K. Liu, Temperature-dependent Multi-well Free-energy Landscape for Phase Transitions: PbTiO3 as a Prototype. Physical Review Letters, 2023. Under Revision.
  20. Y. Wang, J.P.S. Palma, S. Shang, L.Q. Chen, and Z.-K. Liu, Lorenz Number and Electronic Thermoelectric Figure of Merit: Thermodynamics and Direct DFT Calculations. Physical Review B, 2023. Under Revision.
  21. H.Y. Wang, Y.H. Xiong, H. Padmanabhan, Y. Wang, Z. Wang, T.N. Yang, R. Claes, G. Brunin, L. Min, R. Zu, M. Wetherington, Z. Mao, G. Hautier, L.Q. Chen, I. Dabo, and V. Gopalan, Strong Electron-Phonon Coupling driven Pseudogap Modulation and Density-Wave Fluctuations in a Correlated Polar Metal. Nature Communications, 2023. Under Revision.
  22. Z. Shao, N. Schnitzer, J. Ruf, O.Y. Gorobtsov, C. Dai, B.H. Goodge, T. Yang, H. Nair, V.A. Stoica, J.W. Freeland, J. Ruff, L.-Q. Chen, D.G. Schlom, K.M. Shen, L.F. Kourkoutis, and A. Singer, Real-space imaging of polar and elastic nano-textures in thin films via inversion of diffraction data. PNAS, 2023. Revised manuscript submitted.
  23. Q. Hong, L. Ma, D. Fortino, L.Q. Chen, and J. Xu, Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Computer Methods in Applied Mechanics and Engineering Elasticity. Computer Physics Communications, 2023. Submitted.
  24. D. Fortino, Q.G. Hong, J. Ma, J.C. Xu, and L.Q. Chen, Phase-Field Model of Strain Effect on superconducting Transitions and Mesoscale Pattern Formation. Physical Review B, 2023. Submitted
  25. E. Eliseev, A. Morozovska, Y.M. Vysochanskii, L.P. Yurchenko, V. Gopalan, and L.Q. Chen, Light-Induced Transitions of Polar State and Domain Morphology in Photo-Ferroelectric Nanoparticles. Acta Materialia, 2023. Submitted: 10.48550/arXiv.2303.04904.
  26. X.X. Cheng, B. Wang, and L.Q. Chen, Polarization Near Dislocation Cores in SrTiO3 Single Crystals: The Role of Flexoelectricity. Applied Physics Letters, 2023. Under Revision.

2022

  1. R. Zu, B. Wang, J.Y. He, J.J. Wang, L. Weber, L.Q. Chen, and V. Gopalan, Analytical and numerical modeling of optical second harmonic generation in anisotropic crystals using #SHAARP package. Npj Computational Materials, 2022. 8(1): 246, 10.1038/s41524-022-00930-4.
  2. J.A. Zorn, B. Wang, and L.Q. Chen, Q-POP-Thermo: A general-purpose thermodynamics solver for ferroelectric materials. Computer Physics Communications, 2022. 275: 108302, 10.1016/j.cpc.2022.108302.
  3. T.N. Yang, C. Dai, V.A. Stoica, F. Xue, H.Y. Wang, Y.Z. Ji, V. Gopalan, and L.Q. Chen, Computing diffraction patterns of microstructures from phase-field simulations. Acta Materialia, 2022. 239: 118258, 10.1016/j.actamat.2022.118258.
  4. T.N. Yang and L.Q. Chen, Dynamical phase-field model of coupled electronic and structural processes. npj Computational Materials, 2022. 8(1): 130, 10.1038/s41524-022-00820-9.
  5. Y.J. Su, W.X. Li, X.X. Cheng, Y.H. Zhou, S. Yang, X. Zhang, C.X. Chen, T.N. Yang, H. Pan, G.Z. Xie, G.R. Chen, X. Zhao, X. Xiao, B. Li, H.L. Tai, Y.D. Jiang, L.Q. Chen, F. Li, and J. Chen, High-performance piezoelectric composites via beta phase programming. Nature Communications, 2022. 13(1): 4867, 10.1038/s41467-022-32518-3.
  6. Y. Shi and L.Q. Chen, Intrinsic Insulator-Metal Phase Oscillations. Physical Review Applied, 2022. 17(1): 014042, 10.1103/PhysRevApplied.17.014042.
  7. Q.W. Shi, E. Parsonnet, X.X. Cheng, N. Fedorova, R.C. Peng, A. Fernandez, A. Qualls, X.X. Huang, X. Chang, H.R. Zhang, D. Pesquera, S. Das, D. Nikonov, I. Young, L.Q. Chen, L.W. Martin, Y.L. Huang, J. Iniguez, and R. Ramesh, The role of lattice dynamics in ferroelectric switching. Nature Communications, 2022. 13(1): 1110, 10.1038/s41467-022-28622-z.
  8. J. Schultheiss, F. Xue, E. Roede, H.W. Anes, F.H. Danmo, S.M. Selbach, L.Q. Chen, and D. Meier, Confinement-Driven Inverse Domain Scaling in Polycrystalline ErMnO3. Advanced Materials, 2022. 34(45): 10.1002/adma.202203449.
  9. S. Park, B. Wang, T.N. Yang, J. Kim, S. Saremi, W.B. Zhao, B. Guzelturk, A. Sood, C. Nyby, M. Zajac, X.Z. Shen, M. Kozina, A.H. Reid, S. Weathersby, X.J. Wang, L.W. Martin, L.Q. Chen, and A.M. Lindenberg, Light-Driven Ultrafast Polarization Manipulation in a Relaxor Ferroelectric. Nano Letters, 2022. 22(23): p. 9275-9282: 10.1021/acs.nanolett.2c02706.
  10. H. Padmanabhan, V.A. Stoica, P.K. Kim, M. Poore, T.N. Yang, X.Z. Shen, A.H. Reid, M.F. Lin, S. Park, J. Yang, H.Y. Wang, N.Z. Koocher, D. Puggioni, A.B. Georgescu, L.J. Min, S.H. Lee, Z.Q. Mao, J.M. Rondinelli, A.M. Lindenberg, L.Q. Chen, X.J. Wang, R.D. Averitt, J.W. Freeland, and V. Gopalan, Large Exchange Coupling Between Localized Spins and Topological Bands in MnBi2Te4. Advanced Materials, 2022. 34(49): 10.1002/adma.202202841.
  11. H. Padmanabhan, M. Poore, P.K. Kim, N.Z. Koocher, V.A. Stoica, D. Puggioni, H.Y. Wang, X.Z. Shen, A.H. Reid, M.Q. Gu, M. Wetherington, S.H. Lee, R.D. Schaller, Z.Q. Mao, A.M. Lindenberg, X.J. Wang, J.M. Rondinelli, R.D. Averitt, and V. Gopalan, Interlayer magnetophononic coupling in MnBi2Te4. Nature Communications, 2022. 13(1): 1929, 10.1038/s41467-022-29545-5.
  12. W.X. Li, T.N. Yang, C.S. Liu, Y.H. Huang, C.X. Chen, H. Pan, G.Z. Xie, H.L. Tai, Y.D. Jiang, Y.J. Wu, Z. Kang, L.Q. Chen, Y.J. Su, and Z.J. Hong, Optimizing Piezoelectric Nanocomposites by High-Throughput Phase-Field Simulation and Machine Learning. Advanced Science, 2022. 9(13): 2105550, 10.1002/advs.202105550.
  13. M.Q. Li, T.N. Yang, P. Chen, Y.J. Wang, R.X. Zhu, X.M. Li, R.C. Shi, H.J. Liu, Y.L. Huang, X.M. Ma, J.M. Zhang, X.D. Bai, L.Q. Chen, Y.H. Chu, and P. Gao, Electric-field control of the nucleation and motion of isolated three-fold polar vertices. Nature Communications, 2022. 13(1): 6340, 10.1038/s41467-022-33973-8.
  14. H.Y. Leng, Y.K. Yan, B. Wang, T.N. Yang, H.R. Liu, X.T. Li, R. Sriramdas, K. Wang, M. Fanton, R.J. Meyer, L.Q. Chen, and S. Priya, High performance high-power textured Mn/Cu-doped PIN-PMN-PT ceramics. Acta Materialia, 2022. 234: 118015, 10.1016/j.actamat.2022.118015.
  15. S.R. Lee, X.T. Zhang, T. McKnight, B. Ramkorun, H.Y. Wang, V. Gopalan, J.M. Redwing, and T.N. Jackson, Low-temperature processed beta-phase In2Se3 ferroelectric semiconductor thin film transistors. 2d Materials, 2022. 9(2): 025023, 10.1088/2053-1583/ac5b17.
  16. L. Jin, Y. Shi, F.I. Allen, L.Q. Chen, and J.Q. Wu, Probing the Critical Nucleus Size in the Metal-Insulator Phase Transition of VO2. Physical Review Letters, 2022. 129(24): 245701, 10.1103/PhysRevLett.129.245701.
  17. Q.G. Hong, L.M. Ma, J.C. Xu, and L.Q. Chen, An efficient iterative method for dynamical Ginzburg-Landau equations. Journal of Computational Physics., 2022: 111794, 10.1016/j.jcp.2022.111794.
  18. J.Y. He, S.H. Lee, F. Naccarato, G. Brunin, R. Zu, Y.X. Wang, L.X. Miao, H.Y. Wang, N. Alem, G. Hautier, G.M. Rignanese, Z.Q. Mao, and V. Gopalan, SnP2S6: A Promising Infrared Nonlinear Optical Crystal with StrongNonresonant Second Harmonic Generation and Phase-Matchability. Acs Photonics, 2022. 9(5): p. 1724-1732: 10.1021/acsphotonics.2c00131.
  19. J.Y. He, S.H. Lee, F. Naccarato, G. Brunin, R.F. Zhu, Y.X. Wang, L.X. Miao, H.Y. Wang, N. Alem, G. Hautier, G.M. Rignanese, Z.Q. Mao, and V. Gopalan, SnP2S6: A Promising Infrared Nonlinear Optical Crystal with Strong Nonresonant Second Harmonic Generation and Phase-Matchability. ACS Photonics, 2022. 9(5): p. 1724–1732: https://doi.org/10.1021/acsphotonics.2c00131.
  20. L.Q. Chen and Y.H. Zhao, From classical thermodynamics to phase-field method. Progress in Materials Science, 2022. 124: 100868, 10.1016/j.pmatsci.2021.100868.

2021

  1. C.H. Zhao, S. Gao, T.N. Yang, M. Scherer, J. Schultheiss, D. Meier, X.L. Tan, H.J. Kleebe, L.Q. Chen, J. Koruza, and J. Roedel, Precipitation Hardening in Ferroelectric Ceramics. Advanced Materials, 2021. 33(36): 2102421, 10.1002/adma.202102421.
  2. T.N. Yang, C. Dai, Q. Li, H.D. Wen, and L.Q. Chen, Condensation of collective polar vortex modes. Physical Review B, 2021. 103(22): L220303, 10.1103/PhysRevB.103.L220303.
  3. F. Xue, T.N. Yang, and L.Q. Chen, Theory and phase-field simulations of electrical control of spin cycloids in a multiferroic. Physical Review B, 2021. 103(6): 064202, 10.1103/PhysRevB.103.064202.
  4. Y. Wang, M.Q. Liao, B.J. Bocklund, P. Gao, S.L. Shang, H. Kim, A.M. Beese, L.Q. Chen, and P.Z.K. Liu, DFTTK: Density Functional Theory ToolKit for high-throughput lattice dynamics calculations. Calphad-Computer Coupling of Phase Diagrams and Thermochemistry, 2021. 75: 102355, 10.1016/j.calphad.2021.102355.
  5. Sood, X.Z. Shen, Y. Shi, S. Kumar, S.J. Park, M. Zajac, Y.F. Sun, L.Q. Chen, S. Ramanathan, X.J. Wang, W.C. Chueh, and A.M. Lindenberg, Universal phase dynamics in VO2 switches revealed by ultrafast operando diffraction. Science, 2021. 373(6552): p. 352-+: 10.1126/science.abc0652.
  6. Y. Shi, A.E. Duwel, D.M. Callahan, Y.F. Sun, F.A. Hong, H. Padmanabhan, V. Gopalan, R. Engel-Herbert, S. Ramanathan, and L.Q. Chen, Dynamics of voltage-driven oscillating insulator-metal transitions. Physical Review B, 2021. 104(6): 064308, 10.1103/PhysRevB.104.064308.
  7. R.C. Peng, X.X. Cheng, B. Peng, Z.Y. Zhou, L.Q. Chen, and M. Liu, Domain patterns and super-elasticity of freestanding BiFeO3 membranes via phase-field simulations. Acta Materialia, 2021. 208: 116689, 10.1016/j.actamat.2021.116689.
  8. R.C. Peng, X.X. Cheng, B. Peng, Z.Y. Zhou, L.Q. Chen, and M. Liu, Boundary conditions manipulation of polar vortex domains in BiFeO3 membranes via phase-field simulations. Journal of Physics D-Applied Physics, 2021. 54(49): 495301, 10.1088/1361-6463/ac2112.
  9. A.S. McLeod, A. Wieteska, G. Chiriaco, B. Foutty, Y. Wang, Y. Yuan, F. Xue, V. Gopalan, L.Q. Chen, Z.Q. Mao, A.J. Millis, A.N. Pasupathy, and D.N. Basov, Nano-imaging of strain-tuned stripe textures in a Mott crystal. npj Quantum Materials, 2021. 6(1): 46, 10.1038/s41535-021-00339-0.
  10. Q. Li, V.A. Stoica, M. Pasciak, Y. Zhu, Y.K. Yuan, T.N. Yang, M.R. McCarter, S. Das, A.K. Yadav, S. Park, C. Dai, H.J. Lee, Y. Ahn, S.D. Marks, S.K. Yu, C. Kadlec, T. Sato, M.C. Hoffmann, M. Chollet, M.E. Kozina, S. Nelson, D.L. Zhu, D.A. Walko, A.M. Lindenberg, P.G. Evans, L.Q. Chen, R. Ramesh, L.W. Martin, V. Gopalan, J.W. Freeland, J. Hlinka, and H.D. Wen, Subterahertz collective dynamics of polar vortices. Nature, 2021. 592(7854): p. 376-+: 10.1038/s41586-021-03342-4.
  11. N. Li, R.X. Zhu, X.X. Cheng, H.J. Liu, Z.Y. Zhang, Y.L. Huang, Y.H. Chu, L.Q. Chen, Y. Ikuhara, and P. Gao, Dislocation-induced large local polarization inhomogeneity of ferroelectric materials. Scripta Materialia, 2021. 194: 113624, 10.1016/j.scriptamat.2020.11.009.
  12. J.W. Lee, K. Eom, T.R. Paudel, B. Wang, H. Lu, H.X. Huyan, S. Lindemann, S. Ryu, H. Lee, T.H. Kim, Y. Yuan, J.A. Zorn, S. Lei, W.P. Gao, T. Tybell, V. Gopalan, X.Q. Pan, A. Gruverman, L.Q. Chen, E.Y. Tsymbal, and C.B. Eom, In-plane quasi-single-domain BaTiO3 via interfacial symmetry engineering. Nature Communications, 2021. 12(1): 6784, 10.1038/s41467-021-26660-7
  13. F.T. Huang, Y.B. Li, F. Xue, J.W. Kim, L. Zhang, M.W. Chu, L.Q. Chen, and S.W. Cheong, Evolution of topological defects at two sequential phase transitions of Nd2SrFe2O7. Physical Review Research, 2021. 3(2): 023216, 10.1103/PhysRevResearch.3.023216.
  14. Z.J. Hong, S. Das, C. Nelson, A. Yadav, Y.J. Wu, J. Junquera, L.Q. Chen, L.W. Martin, and R. Ramesh, Vortex Domain Walls in Ferroelectrics. Nano Letters, 2021. 21(8): p. 3533-3539: 10.1021/acs.nanolett.1c00404.
  15. S. Das, Z. Hong, V.A. Stoica, M.A.P. Goncalves, Y.T. Shao, E. Parsonnet, E.J. Marksz, S. Saremi, M.R. McCarter, A. Reynoso, C.J. Long, A.M. Hagerstrom, D. Meyers, V. Ravi, B. Prasad, H. Zhou, Z. Zhang, H. Wen, F. Gomez-Ortiz, P. Garcia-Fernandez, J. Bokor, J. Iniguez, J.W. Freeland, N.D. Orloff, J. Junquera, L.Q. Chen, S. Salahuddin, D.A. Muller, L.W. Martin, and R. Ramesh, Local negative permittivity and topological phase transition in polar skyrmions. Nature Materials, 2021. 20(2): p. 194-+: 10.1038/s41563-020-00818-y.
  16. S.B. Cheng, M.H. Lee, R. Tran, Y. Shi, X. Li, H. Navarro, C. Adda, Q.P. Meng, L.Q. Chen, R.C. Dynes, S.P. Ong, I.K. Schuller, and Y.M. Zhu, Inherent stochasticity during insulator-metal transition in VO2. Proceedings of the National Academy of Sciences of the United States of America, 2021. 118(37): e2105895118, 10.1073/pnas.2105895118.
  17. X. Chen, T.N. Yang, Q.Y. Zhang, L.Q. Chen, V. Bobnar, C. Rahn, and Q.M. Zhang, Topological structure enhanced nanostructure of high temperature polymer exhibiting more than ten times enhancement of dipolar response. Nano Energy, 2021. 88: 106225, 10.1016/j.nanoen.2021.106225.

2020

  1. K.N. Zhang, J.J. Wang, Y.H. Huang, L.Q. Chen, P. Ganesh, and Y. Cao, High-throughput phase-field simulations and machine learning of resistive switching in resistive random-access memory. npj Computational Materials, 2020. 6(1): 198, 10.1038/s41524-020-00455-8.
  2. Y. Shi and L.Q. Chen, Spinodal electronic phase separation during insulator-metal transitions. Physical Review B, 2020. 102(19): 195101, 10.1103/PhysRevB.102.195101.
  3. W. Peng, J.A. Zorn, J. Mun, M. Sheeraz, C.J. Roh, J. Pan, B. Wang, K. Guo, C.W. Ahn, Y.P. Zhang, K. Yao, J.S. Lee, J.S. Chung, T.H. Kim, L.Q. Chen, M. Kim, L.F. Wang, and T.W. Noh, Constructing Polymorphic Nanodomains in BaTiO3 Films via Epitaxial Symmetry Engineering. Advanced Functional Materials, 2020. 30(16): 1910569, 10.1002/adfm.201910569.
  4. Peng, R.C. Peng, Y.Q. Zhang, G.H. Dong, Z.Y. Zhou, Y.Q. Zhou, T. Li, Z.J. Liu, Z.L. Luo, S.H. Wang, Y. Xia, R.B. Qiu, X.X. Cheng, F. Xue, Z.Q. Hu, W. Ren, Z.G. Ye, L.Q. Chen, Z.W. Shan, T. Min, and M. Liu, Phase transition enhanced superior elasticity in freestanding single-crystalline multiferroic BiFeO3 membranes. Science Advances, 2020. 6(34): eaba5847, 10.1126/sciadv.aba5847.
  5. E.M. Choi, T. Maity, A. Kursumoyic, P. Lu, Z.H. Bi, S.K. Yu, Y. Park, B.N. Zhu, R. Wu, V. Gopalan, H.Y. Wang, and J.L. MacManus-Driscoll, Nanoengineering room temperature ferroelectricity into orthorhombic SmMnO3 films. Nature Communications, 2020. 11(1): 2207, 10.1038/s41467-020-16101-2.
  6. S.S. Chen, Q.G. Hong, J.C. Xu, and K. Yang, Robust block preconditioners for poroelasticity. Computer Methods in Applied Mechanics and Engineering, 2020. 369: 113229, 10.1016/j.cma.2020.113229.