{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T09:36:56Z","timestamp":1770975416193,"version":"3.50.1"},"reference-count":52,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T00:00:00Z","timestamp":1768608000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T00:00:00Z","timestamp":1768608000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12571388"],"award-info":[{"award-number":["12571388"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Visiting Scholar Program of National Natural Science Foundation of China","award":["12426616"],"award-info":[{"award-number":["12426616"]}]},{"name":"Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications","award":["NY223127"],"award-info":[{"award-number":["NY223127"]}]},{"name":"Science and Technology Innovation Program of Hunan Province","award":["2024RC3159"],"award-info":[{"award-number":["2024RC3159"]}]},{"DOI":"10.13039\/501100004735","name":"Natural Science Foundation of Hunan Province","doi-asserted-by":"publisher","award":["2025JJ50035"],"award-info":[{"award-number":["2025JJ50035"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","award":["202508430057"],"award-info":[{"award-number":["202508430057"]}],"id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Postgraduate Scientific Research Innovation Project of Xiangtan University","award":["XDCX2024Y178"],"award-info":[{"award-number":["XDCX2024Y178"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1007\/s10915-026-03186-y","type":"journal-article","created":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T17:54:55Z","timestamp":1768672495000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Priori and a Posteriori Error Analyses of a Pressure-Robust Virtual Element Method for the Two-Dimensional Brinkman problem"],"prefix":"10.1007","volume":"106","author":[{"given":"Yu","family":"Xiong","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7765-8201","authenticated-orcid":false,"given":"Yanping","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Jianwei","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Yanping","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Jian","family":"Huang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,1,17]]},"reference":[{"key":"3186_CR1","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/j.jcp.2014.04.017","volume":"273","author":"M Lin","year":"2014","unstructured":"Lin, M., Wang, J., Ye, X.: A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. J. Comput. Phys. 273, 327\u2013342 (2014)","journal-title":"J. Comput. Phys."},{"issue":"5","key":"3186_CR2","doi-asserted-by":"publisher","first-page":"986","DOI":"10.1002\/num.20076","volume":"21","author":"E Burman","year":"2005","unstructured":"Burman, E., Hansbo, P.: Stabilized Crouzeix-Raviart element for the Darcy-Stokes problem. Numerical Methods for Partial Differential Equations: An International Journal 21(5), 986\u2013997 (2005)","journal-title":"Numerical Methods for Partial Differential Equations: An International Journal"},{"issue":"1","key":"3186_CR3","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/j.cam.2005.11.022","volume":"198","author":"E Burman","year":"2007","unstructured":"Burman, E., Hansbo, P.: A unified stabilized method for Stokes\u2019 and Darcy\u2019s equations. J. Comput. Appl. Math. 198(1), 35\u201351 (2007)","journal-title":"J. Comput. Appl. Math."},{"key":"3186_CR4","unstructured":"Xie, X., Xu, J., Xue, G.: Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models. Journal of Computational Mathematics, pages 437\u2013455, (2008)"},{"issue":"5","key":"3186_CR5","doi-asserted-by":"publisher","first-page":"1409","DOI":"10.4208\/cicp.scpde14.44s","volume":"19","author":"Q Zhai","year":"2016","unstructured":"Zhai, Q., Zhang, R., Lin, M.: A new weak Galerkin finite element scheme for the Brinkman model. Communications in Computational Physics 19(5), 1409\u20131434 (2016)","journal-title":"Communications in Computational Physics"},{"issue":"01","key":"3186_CR6","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1142\/S0218202512500492","volume":"23","author":"L Beir\u00e3o","year":"2013","unstructured":"Beir\u00e3o, L., da Veiga, F., Brezzi, A.C., Manzini, G., Marini, L.D., Russo, A.: Basic principles of virtual element methods. Math. Models Methods Appl. Sci. 23(01), 199\u2013214 (2013)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"08","key":"3186_CR7","doi-asserted-by":"publisher","first-page":"1541","DOI":"10.1142\/S021820251440003X","volume":"24","author":"BL da Veiga","year":"2014","unstructured":"da Veiga, B.L., Brezzi, F., Marini, D.L., Russo, A.: The hitchhiker\u2019s guide to the virtual element method. Math. Models Methods Appl. Sci. 24(08), 1541\u20131573 (2014)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"3186_CR8","doi-asserted-by":"crossref","unstructured":"Antonietti, P.F., da\u00a0Veiga, L.B., Manzini, G.: The virtual element method and its applications, volume\u00a031. Springer Nature, (2022)","DOI":"10.1007\/978-3-030-95319-5"},{"key":"3186_CR9","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1017\/S0962492922000095","volume":"32","author":"Louren\u00e7o Beir\u00e3o da Veiga","year":"2023","unstructured":"Louren\u00e7o Beir\u00e3o da Veiga: Franco Brezzi, Lusia Donatella Marini, and Russo Alessandro. The virtual element method. Acta Numerica 32, 123\u2013202 (2023)","journal-title":"The virtual element method. Acta Numerica"},{"key":"3186_CR10","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1016\/j.camwa.2023.09.045","volume":"151","author":"L Mascotto","year":"2023","unstructured":"Mascotto, L.: The role of stabilization in the virtual element method: A survey. Computers & Mathematics with Applications 151, 244\u2013251 (2023)","journal-title":"Computers & Mathematics with Applications"},{"issue":"1","key":"3186_CR11","doi-asserted-by":"publisher","first-page":"386","DOI":"10.1137\/13091141X","volume":"52","author":"PF Antonietti","year":"2014","unstructured":"Antonietti, P.F., Veiga, B.L., da David, M., Verani, M.: A stream virtual element formulation of the Stokes problem on polygonal meshes. SIAM J. Numer. Anal. 52(1), 386\u2013404 (2014)","journal-title":"SIAM J. Numer. Anal."},{"key":"3186_CR12","doi-asserted-by":"publisher","first-page":"864","DOI":"10.1007\/s10915-018-0796-5","volume":"78","author":"L Chen","year":"2019","unstructured":"Chen, L., Wang, F.: A divergence free weak virtual element method for the Stokes problem on polytopal meshes. J. Sci. Comput. 78, 864\u2013886 (2019)","journal-title":"J. Sci. Comput."},{"key":"3186_CR13","doi-asserted-by":"crossref","unstructured":"da Veiga, L.B., Lovadina, C., Vacca, G.: Divergence free Virtual Elements for the Stokes problem on polygonal meshes. ESAIM Mathematical Modelling and Numerical Analysis, 2017, (2017)","DOI":"10.1051\/m2an\/2016032"},{"key":"3186_CR14","doi-asserted-by":"crossref","unstructured":"Meng, J., da\u00a0Veiga, L.B., Mascotto, L.: Stability and interpolation properties for Stokes-like virtual element spaces. Journal of Scientific Computing, 94(56), (2023)","DOI":"10.1007\/s10915-023-02112-w"},{"issue":"4","key":"3186_CR15","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1007\/s10092-019-0332-5","volume":"56","author":"D Irisarri","year":"2019","unstructured":"Irisarri, D., Hauke, G.: Stabilized virtual element methods for the unsteady incompressible Navier-Stokes equations. Calcolo 56(4), 38 (2019)","journal-title":"Calcolo"},{"key":"3186_CR16","first-page":"39","volume":"1","author":"Y Li","year":"2023","unstructured":"Li, Y., Bai, Y., Feng, M.: A stabilized Crank-Nicolson virtual element method for the unsteady Navier-Stokes problems with high Reynolds number. Numerical Algorithms 1, 39 (2023)","journal-title":"Numerical Algorithms"},{"key":"3186_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113251","volume":"370","author":"J Zhao","year":"2020","unstructured":"Zhao, J., Zhang, B., Mao, S., Chen, S.: The nonconforming virtual element method for the Darcy-Stokes problem. Comput. Methods Appl. Mech. Eng. 370, 113251 (2020)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"3186_CR18","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2024.108252","volume":"138","author":"J Zhao","year":"2024","unstructured":"Zhao, J., Zhu, W., Zhang, B., Yang, Y.: The stabilized nonconforming virtual element method for the Darcy-Stokes problem. Commun. Nonlinear Sci. Numer. Simul. 138, 108252 (2024)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"3186_CR19","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2024.115415","volume":"187","author":"Y Chen","year":"2024","unstructured":"Chen, Y., Xiong, Yu.: A linearized BDF2 virtual element method for the unsteady Brinkman-Forchheimer equations with variable time step. Chaos, Solitons & Fractals 187, 115415 (2024)","journal-title":"Chaos, Solitons & Fractals"},{"key":"3186_CR20","doi-asserted-by":"crossref","unstructured":"da Veiga, L.B., Dassi, F., Vacca, G.: Vorticity-stabilized virtual elements for the Oseen equation. Mathematical Models and Methods in Applied Sciences 31(14), 3009\u20133052 (2021)","DOI":"10.1142\/S0218202521500688"},{"key":"3186_CR21","unstructured":"Guo, J., Chen, Y., Zhou, J., Huang, Y.: The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes. International Journal of Computer Mathematics, 0(0), 1\u201321, (2023)"},{"key":"3186_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2023.115395","volume":"436","author":"J Meng","year":"2024","unstructured":"Meng, J., Mei, L., Fei, M.: $$H^1$$-conforming virtual element method for the Laplacian eigenvalue problem in mixed form. J. Comput. Appl. Math. 436, 115395 (2024)","journal-title":"J. Comput. Appl. Math."},{"key":"3186_CR23","doi-asserted-by":"crossref","unstructured":"Wang, Y., Yi, H., Fan, X., Li, G.: Unconditionally optimal error estimates of linearized Crank-Nicolson virtual element methods for quasilinear parabolic problems on general polygonal meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 58, 881 \u2013 926, 03 (2024)","DOI":"10.1051\/m2an\/2024017"},{"issue":"1","key":"3186_CR24","doi-asserted-by":"publisher","first-page":"210","DOI":"10.4208\/nmtma.OA-2023-0071","volume":"17","author":"Yu Xiong","year":"2024","unstructured":"Xiong, Yu., Chen, Y., Zhou, J., Liang, Q.: Divergence-free virtual element method for the Stokes equations with damping on polygonal meshes. Numerical Mathematics-Theory Methods and Applications 17(1), 210\u2013242 (2024)","journal-title":"Numerical Mathematics-Theory Methods and Applications"},{"issue":"01","key":"3186_CR25","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1142\/S0218202518500057","volume":"28","author":"G Vacca","year":"2018","unstructured":"Vacca, G.: An H1-conforming virtual element for Darcy and Brinkman equations. Math. Models Methods Appl. Sci. 28(01), 159\u2013194 (2018)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"3186_CR26","doi-asserted-by":"crossref","unstructured":"Frerichs-Mihov, D., Merdon, C.: Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. IMA Journal of Numerical Analysis, 42, (2020)","DOI":"10.1093\/imanum\/draa073"},{"issue":"4","key":"3186_CR27","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1007\/s10092-021-00442-5","volume":"58","author":"G Wang","year":"2021","unstructured":"Wang, G., Wang, Y., He, Y.: Two robust virtual element methods for the Brinkman equations. Calcolo 58(4), 49 (2021)","journal-title":"Calcolo"},{"key":"3186_CR28","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.113879","volume":"382","author":"G Wang","year":"2021","unstructured":"Wang, G., Lin, M., Wang, Y., He, Y.: A pressure-robust virtual element method for the Stokes problem. Comput. Methods Appl. Mech. Eng. 382, 113879 (2021)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"3186_CR29","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1016\/j.camwa.2022.12.013","volume":"131","author":"Y Wang","year":"2023","unstructured":"Wang, Y., Wang, G., Shen, Y.: A pressure-robust virtual element method for the Navier-Stokes problem on polygonal mesh. Computers & Mathematics with Applications 131, 124\u2013137 (2023)","journal-title":"Computers & Mathematics with Applications"},{"key":"3186_CR30","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113351","volume":"372","author":"X Liu","year":"2020","unstructured":"Liu, X., Li, R., Nie, Y.: A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem. Comput. Methods Appl. Mech. Eng. 372, 113351 (2020)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"3186_CR31","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1007\/s11075-021-01195-6","volume":"90","author":"X Liu","year":"2022","unstructured":"Liu, X., Nie, Y.: Pressure-independent velocity error estimates for (Navier-) Stokes nonconforming virtual element discretization with divergence free. Numerical Algorithms 90(2), 477\u2013506 (2022)","journal-title":"Numerical Algorithms"},{"issue":"2","key":"3186_CR32","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1051\/m2an\/2014047","volume":"49","author":"LB da Veiga","year":"2015","unstructured":"da Veiga, L.B., Manzini, G.: Residual a posteriori error estimation for the virtual element method for elliptic problems. ESAIM: Mathematical Modelling and Numerical Analysis 49(2), 577\u2013599 (2015)","journal-title":"ESAIM: Mathematical Modelling and Numerical Analysis"},{"issue":"1","key":"3186_CR33","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/s00211-019-01054-6","volume":"143","author":"LB da Veiga","year":"2019","unstructured":"da Veiga, L.B., Manzini, G., Mascotto, L.: A posteriori error estimation and adaptivity in hp virtual elements. Numer. Math. 143(1), 139\u2013175 (2019)","journal-title":"Numer. Math."},{"key":"3186_CR34","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.cma.2018.08.014","volume":"347","author":"H Chi","year":"2019","unstructured":"Chi, H., da Veiga, B.L., Paulino, G.H.: A simple and effective gradient recovery scheme and a posteriori error estimator for the virtual element method (VEM). Comput. Methods Appl. Mech. Eng. 347, 21\u201358 (2019)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"3186_CR35","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.matcom.2024.01.022","volume":"221","author":"G Manzini","year":"2024","unstructured":"Manzini, G., Mazzia, A.: A posteriori error analysis and mesh adaptivity for a virtual element method solving the Stokes equations. Math. Comput. Simul. 221, 19\u201338 (2024)","journal-title":"Math. Comput. Simul."},{"key":"3186_CR36","doi-asserted-by":"crossref","unstructured":"Wang, G., Wang, Y., He, Y.: A posteriori error estimates for the virtual element method for the Stokes problem. Journal of Scientific Computing, 84, (2020)","DOI":"10.1007\/s10915-020-01281-2"},{"key":"3186_CR37","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.camwa.2021.09.012","volume":"101","author":"Y Wang","year":"2021","unstructured":"Wang, Y., Wang, G., Wang, F.: An adaptive virtual element method for incompressible flow. Computers & Mathematics with Applications 101, 63\u201373 (2021)","journal-title":"Computers & Mathematics with Applications"},{"key":"3186_CR38","unstructured":"Brezzi, F., Fortin, M.: Mixed and hybrid finite element methods, volume\u00a015. Springer Science & Business Media, (2012)"},{"issue":"3","key":"3186_CR39","doi-asserted-by":"publisher","first-page":"492","DOI":"10.1137\/15M1047696","volume":"59","author":"V John","year":"2017","unstructured":"John, V., Linke, A., Merdon, C., Neilan, M., Rebholz, L.G.: On the divergence constraint in mixed finite element methods for incompressible flows. SIAM Rev. 59(3), 492\u2013544 (2017)","journal-title":"SIAM Rev."},{"issue":"4","key":"3186_CR40","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1007\/s10092-021-00440-7","volume":"58","author":"N Verma","year":"2021","unstructured":"Verma, N., Kumar, S.: Lowest order virtual element approximations for transient Stokes problem on polygonal meshes. Calcolo 58(4), 48 (2021)","journal-title":"Calcolo"},{"issue":"3","key":"3186_CR41","doi-asserted-by":"publisher","first-page":"376","DOI":"10.1016\/j.camwa.2013.05.015","volume":"66","author":"B Ahmad","year":"2013","unstructured":"Ahmad, B., Alsaedi, A., Brezzi, F., Marini, L.D., Russo, A.: Equivalent projectors for virtual element methods. Computers & Mathematics with Applications 66(3), 376\u2013391 (2013)","journal-title":"Computers & Mathematics with Applications"},{"key":"3186_CR42","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2021.113525","volume":"394","author":"X Ye","year":"2021","unstructured":"Ye, X., Zhang, S.: A stabilizer free weak Galerkin finite element method on polytopal mesh: Part ii. J. Comput. Appl. Math. 394, 113525 (2021)","journal-title":"J. Comput. Appl. Math."},{"key":"3186_CR43","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10092-018-0249-4","volume":"55","author":"L Chen","year":"2018","unstructured":"Chen, L., Huang, J.: Some error analysis on virtual element methods. Calcolo 55, 1\u201323 (2018)","journal-title":"Calcolo"},{"issue":"4","key":"3186_CR44","doi-asserted-by":"publisher","first-page":"1419","DOI":"10.1137\/090757411","volume":"48","author":"LB da Veiga","year":"2010","unstructured":"da Veiga, L.B., Lipnikov, K., Manzini, G.: Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. SIAM J. Numer. Anal. 48(4), 1419\u20131443 (2010)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"3186_CR45","doi-asserted-by":"publisher","first-page":"1210","DOI":"10.1137\/17M1132811","volume":"56","author":"LB da Veiga","year":"2018","unstructured":"da Veiga, L.B., Lovadina, C., Vacca, G.: Virtual elements for the Navier-Stokes problem on polygonal meshes. SIAM J. Numer. Anal. 56(3), 1210\u20131242 (2018)","journal-title":"SIAM J. Numer. Anal."},{"key":"3186_CR46","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1007\/s00211-017-0891-9","volume":"137","author":"A Cangiani","year":"2017","unstructured":"Cangiani, A., Georgoulis, E., Pryer, T., Sutton, O.: A posteriori error estimates for the virtual element method. Numer. Math. 137, 12 (2017)","journal-title":"Numer. Math."},{"key":"3186_CR47","doi-asserted-by":"crossref","unstructured":"da\u00a0Veiga, L.B., Lovadina, C., Vacca, G.: Divergence free Virtual Elements for the Stokes problem on polygonal meshes. ESAIM Mathematical Modelling and Numerical Analysis, 51, 509 \u2013 535, 10 (2017)","DOI":"10.1051\/m2an\/2016032"},{"key":"3186_CR48","doi-asserted-by":"crossref","unstructured":"Ern, A., Guermond, J.-L.: Finite Elements I: Approximation and Interpolation. Springer Cham, (2021)","DOI":"10.1007\/978-3-030-56341-7"},{"key":"3186_CR49","doi-asserted-by":"crossref","unstructured":"Mora, D., Rivera, G., Rodr\u00edguez, R.: A posteriori error estimates for a virtual element method for the Steklov eigenvalue problem. Computers & Mathematics with Applications, 74(9), 2172\u20132190, (2017). Advances in Mathematics of Finite Elements, honoring 90th birthday of Ivo Babu\u0161ka","DOI":"10.1016\/j.camwa.2017.05.016"},{"key":"3186_CR50","unstructured":"Yu, Y.: mvem: Matlab programming for virtual element methods, (2019-2022)"},{"key":"3186_CR51","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/s00158-011-0706-z","volume":"45","author":"C Talischi","year":"2012","unstructured":"Talischi, C., Paulino, G.H., Pereira, A., Menezes, I.F.M.: Polymesher: a general-purpose mesh generator for polygonal elements written in matlab. Struct. Multidiscip. Optim. 45, 309\u2013328 (2012)","journal-title":"Struct. Multidiscip. Optim."},{"key":"3186_CR52","doi-asserted-by":"crossref","unstructured":"Barrios, T., Bustinza, R., Garc\u00eda, G.C., Gonz\u00e1lez, M.: An a posteriori error estimator for a new stabilized formulation of the Brinkman problem. In Numerical Mathematics and Advanced Applications-ENUMATH 2013: Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013, pages 253\u2013261. Springer, (2015)","DOI":"10.1007\/978-3-319-10705-9_25"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-026-03186-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-026-03186-y","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-026-03186-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T08:22:43Z","timestamp":1770970963000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-026-03186-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,17]]},"references-count":52,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["3186"],"URL":"https:\/\/doi.org\/10.1007\/s10915-026-03186-y","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,17]]},"assertion":[{"value":"31 July 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 December 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2026","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2026","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"51"}}