{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,14]],"date-time":"2026-07-14T04:28:00Z","timestamp":1784003280650,"version":"3.55.0"},"reference-count":61,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T00:00:00Z","timestamp":1700611200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T00:00:00Z","timestamp":1700611200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Department of Science and Technology","award":["DST C.V. Raman grant R(IA)\/CVR-PDF\/2020"],"award-info":[{"award-number":["DST C.V. Raman grant R(IA)\/CVR-PDF\/2020"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2024,1]]},"DOI":"10.1007\/s10915-023-02390-4","type":"journal-article","created":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T06:01:35Z","timestamp":1700632895000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems"],"prefix":"10.1007","volume":"98","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8719-8376","authenticated-orcid":false,"given":"Gouranga","family":"Mallik","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thirupathi","family":"Gudi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,11,22]]},"reference":[{"issue":"6","key":"2390_CR1","doi-asserted-by":"crossref","first-page":"3505","DOI":"10.1137\/120888223","volume":"51","author":"R Araya","year":"2013","unstructured":"Araya, R., Harder, C., Paredes, D., Valentin, F.: Multiscale hybrid-mixed method. SIAM J. Numer. Anal. 51(6), 3505\u20133531 (2013)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"2390_CR2","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1142\/S0218202512500492","volume":"23","author":"L Beir\u00e3o\u00a0da Veiga","year":"2013","unstructured":"Beir\u00e3o\u00a0da Veiga, L., Brezzi, F., Cangiani, A., Manzini, G., Marini, L.D., Russo, A.: Basic principles of virtual element methods. Math. Models Methods Appl. Sci. 23(1), 199\u2013214 (2013)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"2","key":"2390_CR3","doi-asserted-by":"crossref","first-page":"794","DOI":"10.1137\/120874746","volume":"51","author":"L Beir\u00e3o da Veiga","year":"2013","unstructured":"Beir\u00e3o da Veiga, L., Brezzi, F., Marini, L.D.: Virtual elements for linear elasticity problems. SIAM J. Numer. Anal. 51(2), 794\u2013812 (2013)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"2390_CR4","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s00211-009-0247-1","volume":"114","author":"C Bi","year":"2009","unstructured":"Bi, C., Ginting, V.: A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem. Numer. Math. 114(1), 107\u2013132 (2009)","journal-title":"Numer. Math."},{"issue":"3","key":"2390_CR5","doi-asserted-by":"crossref","first-page":"1062","DOI":"10.1093\/imanum\/drq011","volume":"31","author":"C Bi","year":"2011","unstructured":"Bi, C., Ginting, V.: Finite-volume-element method for second-order quasilinear elliptic problems. IMA J. Numer. Anal. 31(3), 1062\u20131089 (2011)","journal-title":"IMA J. Numer. Anal."},{"issue":"3","key":"2390_CR6","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1007\/s10915-012-9651-2","volume":"55","author":"C Bi","year":"2013","unstructured":"Bi, C., Ginting, V.: A posteriori error estimates of discontinuous Galerkin method for nonmonotone quasi-linear elliptic problems. J. Sci. Comput. 55(3), 659\u2013687 (2013)","journal-title":"J. Sci. Comput."},{"key":"2390_CR7","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.cam.2013.09.042","volume":"260","author":"C Bi","year":"2014","unstructured":"Bi, C., Ginting, V.: Global superconvergence and a posteriori error estimates of the finite element method for second-order quasilinear elliptic problems. J. Comput. Appl. Math. 260, 78\u201390 (2014)","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"2390_CR8","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1002\/num.20626","volume":"28","author":"C Bi","year":"2012","unstructured":"Bi, C., Liu, M.: A discontinuous finite volume element method for second-order elliptic problems. Numer. Methods Partial Differ. Equ. 28(2), 425\u2013440 (2012)","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"2390_CR9","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.cma.2015.08.017","volume":"297","author":"C Bi","year":"2015","unstructured":"Bi, C., Wang, C., Lin, Y.: A posteriori error estimates of $$hp$$-discontinuous Galerkin method for strongly nonlinear elliptic problems. Comput. Methods Appl. Mech. Eng. 297, 140\u2013166 (2015)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"2390_CR10","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/s10915-015-0072-x","volume":"67","author":"C Bi","year":"2016","unstructured":"Bi, C., Wang, C., Lin, Y.: Pointwise error estimates and two-grid algorithms of discontinuous Galerkin method for strongly nonlinear elliptic problems. J. Sci. Comput. 67(1), 153\u2013175 (2016)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"2390_CR11","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s10915-017-0422-y","volume":"74","author":"C Bi","year":"2018","unstructured":"Bi, C., Wang, C., Lin, Y.: A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems. J. Sci. Comput. 74(1), 23\u201348 (2018)","journal-title":"J. Sci. Comput."},{"issue":"2","key":"2390_CR12","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1051\/m2an\/2013104","volume":"48","author":"J Bonelle","year":"2014","unstructured":"Bonelle, J., Ern, A.: Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. ESAIM Math. Model. Numer. Anal. 48(2), 553\u2013581 (2014)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"6","key":"2390_CR13","doi-asserted-by":"crossref","first-page":"2687","DOI":"10.1137\/16M1105943","volume":"55","author":"M Botti","year":"2017","unstructured":"Botti, M., Di Pietro, D.A., Sochala, P.: A hybrid high-order method for nonlinear elasticity. SIAM J. Numer. Anal. 55(6), 2687\u20132717 (2017)","journal-title":"SIAM J. Numer. Anal."},{"issue":"4","key":"2390_CR14","doi-asserted-by":"crossref","first-page":"1227","DOI":"10.1051\/m2an\/2013138","volume":"48","author":"F Brezzi","year":"2014","unstructured":"Brezzi, F., Falk, R.S., Marini, L.D.: Basic principles of mixed virtual element methods. ESAIM Math. Model. Numer. Anal. 48(4), 1227\u20131240 (2014)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"5","key":"2390_CR15","doi-asserted-by":"crossref","first-page":"1872","DOI":"10.1137\/040613950","volume":"43","author":"F Brezzi","year":"2005","unstructured":"Brezzi, F., Lipnikov, K., Shashkov, M.: Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. SIAM J. Numer. Anal. 43(5), 1872\u20131896 (2005)","journal-title":"SIAM J. Numer. Anal."},{"issue":"37\u201340","key":"2390_CR16","doi-asserted-by":"crossref","first-page":"3682","DOI":"10.1016\/j.cma.2006.10.028","volume":"196","author":"F Brezzi","year":"2007","unstructured":"Brezzi, F., Lipnikov, K., Shashkov, M., Simoncini, V.: A new discretization methodology for diffusion problems on generalized polyhedral meshes. Comput. Methods Appl. Mech. Engrg. 196(37\u201340), 3682\u20133692 (2007)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"issue":"10","key":"2390_CR17","doi-asserted-by":"crossref","first-page":"1533","DOI":"10.1142\/S0218202505000832","volume":"15","author":"F Brezzi","year":"2005","unstructured":"Brezzi, F., Lipnikov, K., Simoncini, V.: A family of mimetic finite difference methods on polygonal and polyhedral meshes. Math. Models Methods Appl. Sci. 15(10), 1533\u20131551 (2005)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"3","key":"2390_CR18","doi-asserted-by":"crossref","first-page":"1525","DOI":"10.1137\/17M1154266","volume":"56","author":"E Burman","year":"2018","unstructured":"Burman, E., Ern, A.: An unfitted hybrid high-order method for elliptic interface problems. SIAM J. Numer. Anal. 56(3), 1525\u20131546 (2018)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"2390_CR19","first-page":"167","volume":"39","author":"C Carstensen","year":"2019","unstructured":"Carstensen, C., Mallik, G., Nataraj, N.: A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von K\u00e1rm\u00e1n equations. IMA J. Numer. Anal. 39(1), 167\u2013200 (2019)","journal-title":"IMA J. Numer. Anal."},{"key":"2390_CR20","doi-asserted-by":"crossref","first-page":"852","DOI":"10.1016\/j.cam.2017.09.017","volume":"344","author":"M Cicuttin","year":"2018","unstructured":"Cicuttin, M., Di Pietro, D.A., Ern, A.: Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. J. Comput. Appl. Math. 344, 852\u2013874 (2018)","journal-title":"J. Comput. Appl. Math."},{"key":"2390_CR21","doi-asserted-by":"crossref","unstructured":"Cicuttin, M., Ern, A., Gudi, T.: Hybrid high-order methods for the elliptic obstacle problem. J. Sci. Comput. 83(1), Paper No. 8, 18 (2020)","DOI":"10.1007\/s10915-020-01195-z"},{"issue":"3","key":"2390_CR22","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1051\/m2an\/2015051","volume":"50","author":"B Cockburn","year":"2016","unstructured":"Cockburn, B., Di Pietro, D.A., Ern, A.: Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. ESAIM Math. Model. Numer. Anal. 50(3), 635\u2013650 (2016)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"5","key":"2390_CR23","doi-asserted-by":"crossref","first-page":"3827","DOI":"10.1137\/080728810","volume":"31","author":"B Cockburn","year":"2009","unstructured":"Cockburn, B., Dong, B., Guzm\u00e1n, J., Restelli, M., Sacco, R.: A hybridizable discontinuous Galerkin method for steady-state convection\u2013diffusion\u2013reaction problems. SIAM J. Sci. Comput. 31(5), 3827\u20133846 (2009)","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"2390_CR24","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1137\/070706616","volume":"47","author":"B Cockburn","year":"2009","unstructured":"Cockburn, B., Gopalakrishnan, J., Lazarov, R.: Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. SIAM J. Numer. Anal. 47(2), 1319\u20131365 (2009)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"2390_CR25","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1137\/040610064","volume":"44","author":"A Demlow","year":"2006","unstructured":"Demlow, A.: Localized pointwise a posteriori error estimates for gradients of piecewise linear finite element approximations to second-order quadilinear elliptic problems. SIAM J. Numer. Anal. 44(2), 494\u2013514 (2006)","journal-title":"SIAM J. Numer. Anal."},{"issue":"307","key":"2390_CR26","doi-asserted-by":"crossref","first-page":"2159","DOI":"10.1090\/mcom\/3180","volume":"86","author":"DA Di Pietro","year":"2017","unstructured":"Di Pietro, D.A., Droniou, J.: A hybrid high-order method for Leray\u2013Lions elliptic equations on general meshes. Math. Comput. 86(307), 2159\u20132191 (2017)","journal-title":"Math. Comput."},{"key":"2390_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-37203-3","volume-title":"The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications","author":"DA Di Pietro","year":"2020","unstructured":"Di Pietro, D.A., Droniou, J.: The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications. Springer, New York (2020)"},{"issue":"5","key":"2390_CR28","doi-asserted-by":"crossref","first-page":"2135","DOI":"10.1137\/140993971","volume":"53","author":"DA Di Pietro","year":"2015","unstructured":"Di Pietro, D.A., Droniou, J., Ern, A.: A discontinuous-skeletal method for advection\u2013diffusion\u2013reaction on general meshes. SIAM J. Numer. Anal. 53(5), 2135\u20132157 (2015)","journal-title":"SIAM J. Numer. Anal."},{"key":"2390_CR29","doi-asserted-by":"crossref","unstructured":"Di\u00a0Pietro, D.A., Droniou, J., Harnist, A.: Improved error estimates for hybrid high-order discretizations of Leray\u2013Lions problems. Calcolo 58(2), Paper No. 19, 24 (2021)","DOI":"10.1007\/s10092-021-00410-z"},{"key":"2390_CR30","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/j.jcp.2017.11.018","volume":"355","author":"DA Di Pietro","year":"2018","unstructured":"Di Pietro, D.A., Droniou, J., Manzini, G.: Discontinuous skeletal gradient discretisation methods on polytopal meshes. J. Comput. Phys. 355, 397\u2013425 (2018)","journal-title":"J. Comput. Phys."},{"key":"2390_CR31","doi-asserted-by":"crossref","unstructured":"Di Pietro, D.A., Ern, A.: Mathematical Aspects of Discontinuous Galerkin Methods. Math\u00e9matiques & Applications (Berlin) [Mathematics & Applications], vol. 69. Springer, Heidelberg (2012)","DOI":"10.1007\/978-3-642-22980-0"},{"key":"2390_CR32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cma.2014.09.009","volume":"283","author":"DA Di Pietro","year":"2015","unstructured":"Di Pietro, D.A., Ern, A.: A hybrid high-order locking-free method for linear elasticity on general meshes. Comput. Methods Appl. Mech. Eng. 283, 1\u201321 (2015)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"4","key":"2390_CR33","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1515\/cmam-2014-0018","volume":"14","author":"DA Di Pietro","year":"2014","unstructured":"Di Pietro, D.A., Ern, A., Lemaire, S.: An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Comput. Methods Appl. Math. 14(4), 461\u2013472 (2014)","journal-title":"Comput. Methods Appl. Math."},{"key":"2390_CR34","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.cma.2016.03.033","volume":"306","author":"DA Di Pietro","year":"2016","unstructured":"Di Pietro, D.A., Ern, A., Linke, A., Schieweck, F.: A discontinuous skeletal method for the viscosity-dependent Stokes problem. Comput. Methods Appl. Mech. Eng. 306, 175\u2013195 (2016)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"3","key":"2390_CR35","doi-asserted-by":"crossref","first-page":"1677","DOI":"10.1007\/s10915-017-0512-x","volume":"74","author":"DA Di Pietro","year":"2018","unstructured":"Di Pietro, D.A., Krell, S.: A hybrid high-order method for the steady incompressible Navier\u2013Stokes problem. J. Sci. Comput. 74(3), 1677\u20131705 (2018)","journal-title":"J. Sci. Comput."},{"issue":"291","key":"2390_CR36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-2014-02861-5","volume":"84","author":"DA Di Pietro","year":"2015","unstructured":"Di Pietro, D.A., Lemaire, S.: An extension of the Crouzeix\u2013Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow. Math. Comput. 84(291), 1\u201331 (2015)","journal-title":"Math. Comput."},{"issue":"8","key":"2390_CR37","doi-asserted-by":"crossref","first-page":"1575","DOI":"10.1142\/S0218202514400041","volume":"24","author":"J Droniou","year":"2014","unstructured":"Droniou, J.: Finite volume schemes for diffusion equations: introduction to and review of modern methods. Math. Models Methods Appl. Sci. 24(8), 1575\u20131619 (2014)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"1","key":"2390_CR38","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/s00211-006-0034-1","volume":"105","author":"J Droniou","year":"2006","unstructured":"Droniou, J., Eymard, R.: A mixed finite volume scheme for anisotropic diffusion problems on any grid. Numer. Math. 105(1), 35\u201371 (2006)","journal-title":"Numer. Math."},{"key":"2390_CR39","doi-asserted-by":"crossref","unstructured":"Droniou, J., Eymard, R., Gallou\u00ebt, T., Guichard, C., Herbin, R.: The gradient discretisation method. Math\u00e9matiques & Applications (Berlin) [Mathematics & Applications], vol. 82. Springer, Cham (2018)","DOI":"10.1007\/978-3-319-79042-8"},{"issue":"2","key":"2390_CR40","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1142\/S0218202510004222","volume":"20","author":"J Droniou","year":"2010","unstructured":"Droniou, J., Eymard, R., Gallou\u00ebt, T., Herbin, R.: A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Math. Models Methods Appl. Sci. 20(2), 265\u2013295 (2010)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"2","key":"2390_CR41","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1142\/S0218202510004222","volume":"20","author":"J Droniou","year":"2010","unstructured":"Droniou, J., Eymard, R., Gallou\u00ebt, T., Herbin, R.: A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Math. Models Methods Appl. Sci. 20(2), 265\u2013295 (2010)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"3","key":"2390_CR42","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1051\/m2an\/2015079","volume":"50","author":"J Droniou","year":"2016","unstructured":"Droniou, J., Eymard, R., Herbin, R.: Gradient schemes: generic tools for the numerical analysis of diffusion equations. ESAIM Math. Model. Numer. Anal. 50(3), 749\u2013781 (2016)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"key":"2390_CR43","doi-asserted-by":"crossref","unstructured":"Droniou, J., Yemm, L.: Robust hybrid high-order method on polytopal meshes with small faces. Comput. Methods Appl. Math. (2021)","DOI":"10.1515\/cmam-2021-0018"},{"issue":"4","key":"2390_CR44","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1093\/imanum\/drn084","volume":"30","author":"R Eymard","year":"2010","unstructured":"Eymard, R., Gallou\u00ebt, T., Herbin, R.: Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces. IMA J. Numer. Anal. 30(4), 1009\u20131043 (2010)","journal-title":"IMA J. Numer. Anal."},{"key":"2390_CR45","doi-asserted-by":"crossref","unstructured":"Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Classics in Mathematics. Springer, Berlin, (2001). Reprint of the 1998 edition","DOI":"10.1007\/978-3-642-61798-0"},{"key":"2390_CR46","unstructured":"Grisvard, P.: Elliptic Problems in Nonsmooth Domains, volume\u00a024 of Monographs and Studies in Mathematics. Pitman (Advanced Publishing Program), Boston (1985)"},{"key":"2390_CR47","doi-asserted-by":"crossref","unstructured":"Gudi, T., Mallik, G., Pramanick, T.: A hybrid-high order method for quasilinear elliptic problems of nonmonotone type, pp. 1\u201330. arXiv:2110.15579 (2022)","DOI":"10.1137\/21M1412050"},{"issue":"2","key":"2390_CR48","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/s00211-008-0137-y","volume":"109","author":"T Gudi","year":"2008","unstructured":"Gudi, T., Nataraj, N., Pani, A.K.: $$hp$$-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Numer. Math. 109(2), 233\u2013268 (2008)","journal-title":"Numer. Math."},{"issue":"262","key":"2390_CR49","doi-asserted-by":"crossref","first-page":"731","DOI":"10.1090\/S0025-5718-07-02047-9","volume":"77","author":"T Gudi","year":"2008","unstructured":"Gudi, T., Nataraj, N., Pani, A.K.: An $$hp$$-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Math. Comput. 77(262), 731\u2013756 (2008)","journal-title":"Math. Comput."},{"issue":"1","key":"2390_CR50","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1137\/050643362","volume":"45","author":"T Gudi","year":"2007","unstructured":"Gudi, T., Pani, A.K.: Discontinuous Galerkin methods for quasi-linear elliptic problems of nonmonotone type. SIAM J. Numer. Anal. 45(1), 163\u2013192 (2007)","journal-title":"SIAM J. Numer. Anal."},{"key":"2390_CR51","unstructured":"Herbin, R., Hubert, F.: Benchmark on discretization schemes for anisotropic diffusion problems on general grids. In: Finite Volumes for Complex Applications V, pp.\u00a0659\u2013692. Wiley (2008)"},{"issue":"4","key":"2390_CR52","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1093\/imanum\/dri014","volume":"25","author":"P Houston","year":"2005","unstructured":"Houston, P., Robson, J., S\u00fcli, E.: Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems. I. The scalar case. IMA J. Numer. Anal. 25(4), 726\u2013749 (2005)","journal-title":"IMA J. Numer. Anal."},{"issue":"4","key":"2390_CR53","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s10596-004-3771-1","volume":"8","author":"Y Kuznetsov","year":"2004","unstructured":"Kuznetsov, Y., Lipnikov, K., Shashkov, M.: The mimetic finite difference method on polygonal meshes for diffusion-type problems. Comput. Geosci. 8(4), 301\u2013324 (2004)","journal-title":"Comput. Geosci."},{"issue":"1","key":"2390_CR54","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1093\/imanum\/drz056","volume":"41","author":"S Lemaire","year":"2021","unstructured":"Lemaire, S.: Bridging the hybrid high-order and virtual element methods. IMA J. Numer. Anal. 41(1), 549\u2013593 (2021)","journal-title":"IMA J. Numer. Anal."},{"issue":"5","key":"2390_CR55","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1007\/s10444-016-9452-5","volume":"42","author":"G Mallik","year":"2016","unstructured":"Mallik, G., Nataraj, N.: Conforming finite element methods for the von K\u00e1rm\u00e1n equations. Adv. Comput. Math. 42(5), 1031\u20131054 (2016)","journal-title":"Adv. Comput. Math."},{"issue":"2","key":"2390_CR56","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1051\/m2an\/2015052","volume":"50","author":"G Mallik","year":"2016","unstructured":"Mallik, G., Nataraj, N.: A nonconforming finite element approximation for the von Karman equations. ESAIM Math. Model. Numer. Anal. 50(2), 433\u2013454 (2016)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"1","key":"2390_CR57","first-page":"31","volume":"12","author":"L Mu","year":"2015","unstructured":"Mu, L., Wang, J., Ye, X.: Weak Galerkin finite element methods on polytopal meshes. Int. J. Numer. Anal. Model. 12(1), 31\u201353 (2015)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"2390_CR58","doi-asserted-by":"crossref","first-page":"1004","DOI":"10.1016\/j.jcp.2015.07.036","volume":"299","author":"L Song","year":"2015","unstructured":"Song, L., Zhang, Z.: Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method. J. Comput. Phys. 299, 1004\u20131020 (2015)","journal-title":"J. Comput. Phys."},{"key":"2390_CR59","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.cam.2012.10.003","volume":"241","author":"J Wang","year":"2013","unstructured":"Wang, J., Ye, X.: A weak Galerkin finite element method for second-order elliptic problems. J. Comput. Appl. Math. 241, 103\u2013115 (2013)","journal-title":"J. Comput. Appl. Math."},{"issue":"289","key":"2390_CR60","doi-asserted-by":"crossref","first-page":"2101","DOI":"10.1090\/S0025-5718-2014-02852-4","volume":"83","author":"J Wang","year":"2014","unstructured":"Wang, J., Ye, X.: A weak Galerkin mixed finite element method for second order elliptic problems. Math. Comput. 83(289), 2101\u20132126 (2014)","journal-title":"Math. Comput."},{"issue":"5","key":"2390_CR61","doi-asserted-by":"crossref","first-page":"1759","DOI":"10.1137\/S0036142992232949","volume":"33","author":"J Xu","year":"1996","unstructured":"Xu, J.: Two-grid discretization techniques for linear and nonlinear PDEs. SIAM J. Numer. Anal. 33(5), 1759\u20131777 (1996)","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-023-02390-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-023-02390-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-023-02390-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,10]],"date-time":"2024-01-10T14:08:58Z","timestamp":1704895738000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-023-02390-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,22]]},"references-count":61,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,1]]}},"alternative-id":["2390"],"URL":"https:\/\/doi.org\/10.1007\/s10915-023-02390-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,22]]},"assertion":[{"value":"12 May 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 October 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 October 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 November 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"6"}}