{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T11:17:53Z","timestamp":1783682273019,"version":"3.55.0"},"reference-count":55,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T00:00:00Z","timestamp":1781222400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T00:00:00Z","timestamp":1781222400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000086","name":"Directorate for Mathematical and Physical Sciences","doi-asserted-by":"publisher","award":["DMS-2110833"],"award-info":[{"award-number":["DMS-2110833"]}],"id":[{"id":"10.13039\/100000086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2026,8]]},"DOI":"10.1007\/s10915-026-03326-4","type":"journal-article","created":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T01:14:49Z","timestamp":1781226889000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Immersed $$C^0$$ Interior Penalty Method for Biharmonic Interface Problems"],"prefix":"10.1007","volume":"108","author":[{"given":"Yuan","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4179-9552","authenticated-orcid":false,"given":"Xu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,6,12]]},"reference":[{"issue":"692","key":"3326_CR1","doi-asserted-by":"publisher","first-page":"701","DOI":"10.1017\/S000192400008489X","volume":"72","author":"JH Argyris","year":"1968","unstructured":"Argyris, J.H., Fried, I., Scharpf, D.W.: The TUBA family of plate elements for the matrix displacement method. Aeronaut. J. 72(692), 701\u2013709 (1968)","journal-title":"Aeronaut. J."},{"issue":"2","key":"3326_CR2","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1017\/S0001925900004546","volume":"19","author":"LSD Morley","year":"1968","unstructured":"Morley, L.S.D.: The triangular equilibrium element in the solution of plate bending problems. Aero. Quart. 19(2), 149\u2013169 (1968)","journal-title":"Aero. Quart."},{"issue":"1","key":"3326_CR3","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1051\/m2an\/1985190100071","volume":"19","author":"DN Arnold","year":"1985","unstructured":"Arnold, D.N., Brezzi, F.: Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r. 19(1), 7\u201332 (1985)","journal-title":"RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r."},{"issue":"3","key":"3326_CR4","doi-asserted-by":"publisher","first-page":"556","DOI":"10.1137\/0715036","volume":"15","author":"RS Falk","year":"1978","unstructured":"Falk, R.S.: Approximation of the biharmonic equation by a mixed finite element method. SIAM J. Numer. Anal. 15(3), 556\u2013567 (1978)","journal-title":"SIAM J. Numer. Anal."},{"key":"3326_CR5","doi-asserted-by":"crossref","unstructured":"Brezzi, F.: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. Rev. Fran\u00e7aise Automat. Informat. Recherche Op\u00e9rationnelle S\u00e9r. Rouge, 8(R-2):129\u2013151 (1974)","DOI":"10.1051\/m2an\/197408R201291"},{"issue":"262","key":"3326_CR6","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1090\/S0025-5718-07-02045-5","volume":"77","author":"Y Cheng","year":"2008","unstructured":"Cheng, Y., Shu, C.-W.: A discontinuous galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77(262), 699\u2013730 (2008)","journal-title":"Math. Comput."},{"issue":"3","key":"3326_CR7","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1007\/s10915-006-9100-1","volume":"30","author":"I Mozolevski","year":"2007","unstructured":"Mozolevski, I., S\u00fcli, E., B\u00f6sing, P.R.: $$hp$$-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation. J. Sci. Comput. 30(3), 465\u2013491 (2007)","journal-title":"J. Sci. Comput."},{"issue":"3","key":"3326_CR8","doi-asserted-by":"publisher","first-page":"1003","DOI":"10.1002\/num.21855","volume":"30","author":"M Lin","year":"2014","unstructured":"Lin, M., Wang, J., Ye, X.: Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. Numer. Methods Partial Differ. Equ. 30(3), 1003\u20131029 (2014)","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"23","key":"3326_CR9","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1007\/s10915-004-4135-7","volume":"22","author":"SC Brenner","year":"2005","unstructured":"Brenner, S.C., Sung, L.-Y.: $$C^0$$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. J. Sci. Comput. 22(23), 83\u2013118 (2005)","journal-title":"J. Sci. Comput."},{"issue":"34","key":"3326_CR10","doi-asserted-by":"publisher","first-page":"3669","DOI":"10.1016\/S0045-7825(02)00286-4","volume":"191","author":"G Engel","year":"2002","unstructured":"Engel, G., Garikipati, K., Hughes, T.J.R., Larson, M.G., Mazzei, L., Taylor, R.L.: Continuous\/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Comput. Methods Appl. Mech. Engrg. 191(34), 3669\u20133750 (2002)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"3326_CR11","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1016\/j.cam.2018.10.015","volume":"350","author":"SC Brenner","year":"2019","unstructured":"Brenner, S.C., Sung, L., Zhang, Y.: $$C^0$$ interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition. J. Comput. Appl. Math. 350, 212\u2013232 (2019)","journal-title":"J. Comput. Appl. Math."},{"key":"3326_CR12","unstructured":"Diegel, A.E., Sharma, N.S.: A c0 interior penalty method for the phase field crystal equation. In: Numerical Methods for Partial Differential Equations (2020)"},{"key":"3326_CR13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2020.113241","volume":"388","author":"SC Brenner","year":"2021","unstructured":"Brenner, S.C., Kawecki, E.L.: Adaptive $$C^0$$ interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients. J. Comput. Appl. Math. 388, 113241 (2021)","journal-title":"J. Comput. Appl. Math."},{"key":"3326_CR14","doi-asserted-by":"crossref","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems, SIAM (2002)","DOI":"10.1137\/1.9780898719208"},{"issue":"3","key":"3326_CR15","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1137\/10081931X","volume":"54","author":"MJ Gander","year":"2012","unstructured":"Gander, M.J., Kwok, F.: Chladni figures and the Tacoma bridge: motivating PDE eigenvalue problems via vibrating plates. SIAM Rev. 54(3), 573\u2013596 (2012)","journal-title":"SIAM Rev."},{"key":"3326_CR16","doi-asserted-by":"crossref","unstructured":"Gander, MJ., Liu, Y.: On the definition of dirichlet and neumann conditions for the biharmonic equation and its impact on associated schwarz methods. In Domain Decomposition Methods in Science and Engineering XXIII, pp. 303\u2013311. Springer, (2017)","DOI":"10.1007\/978-3-319-52389-7_31"},{"key":"3326_CR17","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.matcom.2022.06.022","volume":"203","author":"Y Cai","year":"2023","unstructured":"Cai, Y., Chen, J., Wang, N.: A Nitsche mixed extended finite element method for the biharmonic interface problem. Math. Comput. Simul. 203, 112\u2013130 (2023)","journal-title":"Math. Comput. Simul."},{"issue":"13","key":"3326_CR18","doi-asserted-by":"publisher","first-page":"3953","DOI":"10.1016\/j.cam.2011.01.041","volume":"235","author":"T Lin","year":"2011","unstructured":"Lin, T., Lin, Y., Sun, W.-W., Wang, Z.: Immersed finite element methods for 4th order differential equations. J. Comput. Appl. Math. 235(13), 3953\u20133964 (2011)","journal-title":"J. Comput. Appl. Math."},{"issue":"2\u20133","key":"3326_CR19","doi-asserted-by":"publisher","first-page":"968","DOI":"10.1007\/s10915-017-0487-7","volume":"73","author":"Z Li","year":"2017","unstructured":"Li, Z., Qin, F.: An augmented method for 4th order PDEs with discontinuous coefficients. J. Sci. Comput. 73(2\u20133), 968\u2013979 (2017)","journal-title":"J. Sci. Comput."},{"key":"3326_CR20","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.113880","volume":"382","author":"Y Cai","year":"2021","unstructured":"Cai, Y., Chen, J., Wang, N.: A Nitsche extended finite element method for the biharmonic interface problem. Comput. Methods Appl. Mech. Engrg 382, 113880 (2021)","journal-title":"Comput. Methods Appl. Mech. Engrg"},{"issue":"1","key":"3326_CR21","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1186\/s40323-020-00164-3","volume":"7","author":"E Burman","year":"2020","unstructured":"Burman, E., Hansbo, P., Larson, M.G.: Cut bogner-fox-schmit elements for plates. Adv. Model. Simul. Eng. Sci. 7(1), 27 (2020)","journal-title":"Adv. Model. Simul. Eng. Sci."},{"issue":"2","key":"3326_CR22","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/s00211-022-01313-z","volume":"152","author":"E Burman","year":"2022","unstructured":"Burman, E., Hansbo, P., Mats, G.: Larson: Cutfem based on extended finite element spaces. Numer. Math. 152(2), 331\u2013369 (2022)","journal-title":"Numer. Math."},{"key":"3326_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492925000017","volume":"34","author":"E Burman","year":"2025","unstructured":"Burman, E., Hansbo, P., Larson, M.G., Zahedi, S.: Cut finite element methods. Acta Numer 34, 1\u2013121 (2025)","journal-title":"Acta Numer"},{"key":"3326_CR24","doi-asserted-by":"crossref","unstructured":"Chen, Y., Li, R., Liu, Q.: An arbitrary order reconstructed discontinuous approximation to biharmonic interface problem. arXiv preprint arXiv:2305.03430 (2023)","DOI":"10.4208\/aam.OA-2023-0011"},{"key":"3326_CR25","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/j.camwa.2025.05.016","volume":"192","author":"G Ma","year":"2025","unstructured":"Ma, G., Chen, J., Wang, F.: A nitsche\u2019s extended nonconforming virtual element method for biharmonic pdes involving interfaces. Comput. Math. Appl. 192, 134\u2013154 (2025)","journal-title":"Comput. Math. Appl."},{"key":"3326_CR26","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/j.camwa.2024.09.012","volume":"176","author":"J Chen","year":"2024","unstructured":"Chen, J., Xiao, X., Feng, X.: A mixed immersed finite element method for fourth-order interface problems on surfaces. Comput. Math. Appl. 176, 122\u2013139 (2024)","journal-title":"Comput. Math. Appl."},{"issue":"1","key":"3326_CR27","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/s00211-003-0473-x","volume":"96","author":"Z Li","year":"2003","unstructured":"Li, Z., Lin, T., Xiaohui, W.: New cartesian grid methods for interface problems using the finite element formulation. Numer. Math. 96(1), 61\u201398 (2003)","journal-title":"Numer. Math."},{"issue":"3","key":"3326_CR28","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1002\/num.10092","volume":"20","author":"Z Li","year":"2004","unstructured":"Li, Z., Lin, T., Lin, Y., Rogers, R.C.: An immersed finite element space and its approximation capability. Numer. Methods Partial Differ. Equ. Int. J. 20(3), 338\u2013367 (2004)","journal-title":"Numer. Methods Partial Differ. Equ. Int. J."},{"issue":"5","key":"3326_CR29","doi-asserted-by":"publisher","first-page":"1265","DOI":"10.1002\/num.20318","volume":"24","author":"X He","year":"2008","unstructured":"He, X., Lin, T., Lin, Y.: Approximation capability of a bilinear immersed finite element space. Numer. Methods Partial Differ. Equ. Int. J. 24(5), 1265\u20131300 (2008)","journal-title":"Numer. Methods Partial Differ. Equ. Int. J."},{"issue":"2","key":"3326_CR30","first-page":"284","volume":"8","author":"X He","year":"2011","unstructured":"He, X., Lin, T., Lin, Y., et al.: Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Int. J. Numer. Anal. Model. 8(2), 284\u2013301 (2011)","journal-title":"Int. J. Numer. Anal. Model."},{"issue":"2","key":"3326_CR31","doi-asserted-by":"publisher","first-page":"1121","DOI":"10.1137\/130912700","volume":"53","author":"T Lin","year":"2015","unstructured":"Lin, T., Lin, Y., Zhang, X.: Partially penalized immersed finite element methods for elliptic interface problems. SIAM J. Numer. Anal. 53(2), 1121\u20131144 (2015)","journal-title":"SIAM J. Numer. Anal."},{"key":"3326_CR32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110445","volume":"441","author":"R Guo","year":"2021","unstructured":"Guo, R., Zhang, X.: Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis. J. Comput. Phys. 441, 110445 (2021)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"3326_CR33","doi-asserted-by":"publisher","first-page":"1243","DOI":"10.1002\/num.22348","volume":"35","author":"R Guo","year":"2019","unstructured":"Guo, R., Lin, T., Lin, Y.: Approximation capabilities of immersed finite element spaces for elasticity interface problems. Numer. Methods Partial Differ. Equ. 35(3), 1243\u20131268 (2019)","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"18","key":"3326_CR34","doi-asserted-by":"publisher","first-page":"4681","DOI":"10.1016\/j.cam.2012.03.012","volume":"236","author":"T Lin","year":"2012","unstructured":"Lin, T., Zhang, X.: Linear and bilinear immersed finite elements for planar elasticity interface problems. J. Comput. Appl. Math. 236(18), 4681\u20134699 (2012)","journal-title":"J. Comput. Appl. Math."},{"key":"3326_CR35","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111651","volume":"472","author":"S Adjerid","year":"2023","unstructured":"Adjerid, S., Lin, T., Meghaichi, H.: An immersed discontinuous galerkin method for wave propagation in acoustic elastic media. J. Comput. Phys. 472, 111651 (2023)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"3326_CR36","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s10915-020-01283-0","volume":"84","author":"S Adjerid","year":"2020","unstructured":"Adjerid, S., Lin, T., Zhuang, Q.: Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media. J. Sci. Comput. 84(2), 35 (2020)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"3326_CR37","doi-asserted-by":"publisher","first-page":"A139","DOI":"10.1137\/16M1090934","volume":"41","author":"S Adjerid","year":"2019","unstructured":"Adjerid, S., Moon, K.: An immersed discontinuous galerkin method for acoustic wave propagation in inhomogeneous media. SIAM J. Sci. Comput. 41(1), A139\u2013A162 (2019)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"3326_CR38","first-page":"120","volume":"18","author":"Y Chen","year":"2021","unstructured":"Chen, Y., Zhang, X.: A $$P_2$$-$$P_1$$ partially penalized immersed finite element method for stokes interface problems. Int. J. Numer. Anal. Model. 18(1), 120\u2013141 (2021)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"3326_CR39","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2021.113493","volume":"392","author":"D Jones","year":"2021","unstructured":"Jones, D., Zhang, X.: A class of nonconforming immersed finite element methods for Stokes interface problems. J. Comput. Appl. Math. 392, 113493 (2021)","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"3326_CR40","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/s10915-023-02414-z","volume":"98","author":"Y Chen","year":"2024","unstructured":"Chen, Y., Zhang, X.: Solving Navier-Stokes equations with stationary and moving interfaces on unfitted meshes. J. Sci. Comput. 98(1), 19 (2024)","journal-title":"J. Sci. Comput."},{"issue":"4","key":"3326_CR41","first-page":"563","volume":"19","author":"J Wang","year":"2022","unstructured":"Wang, J., Zhang, X., Zhuang, Q.: An immersed Crouzeix-Raviart finite element method for Navier-Stokes equations with moving interfaces. Int. J. Numer. Anal. Model. 19(4), 563\u2013586 (2022)","journal-title":"Int. J. Numer. Anal. Model."},{"issue":"6","key":"3326_CR42","doi-asserted-by":"publisher","first-page":"1868","DOI":"10.1016\/j.camwa.2017.10.010","volume":"75","author":"S Adjerid","year":"2018","unstructured":"Adjerid, S., Ben-Romdhane, M., Lin, T.: Higher degree immersed finite element spaces constructed according to the actual interface. Comput. Math. Appl. 75(6), 1868\u20131881 (2018)","journal-title":"Comput. Math. Appl."},{"issue":"4\u20135","key":"3326_CR43","first-page":"604","volume":"14","author":"S Adjerid","year":"2017","unstructured":"Adjerid, S., Guo, R., Lin, T.: High degree immersed finite element spaces by a least squares method. Int. J. Numer. Anal. Model. 14(4\u20135), 604\u2013626 (2017)","journal-title":"Int. J. Numer. Anal. Model."},{"key":"3326_CR44","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2022.115770","volume":"404","author":"S Adjerid","year":"2023","unstructured":"Adjerid, S., Babu\u0161ka, I., Guo, R., Lin, T.: An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. Comput. Methods Appl. Mech. Engrg. 404, 115770 (2023)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"issue":"4","key":"3326_CR45","doi-asserted-by":"publisher","first-page":"1545","DOI":"10.1137\/18M121318X","volume":"57","author":"R Guo","year":"2019","unstructured":"Guo, R., Lin, T.: A higher degree immersed finite element method based on a Cauchy extension for elliptic interface problems. SIAM J. Numer. Anal. 57(4), 1545\u20131573 (2019)","journal-title":"SIAM J. Numer. Anal."},{"key":"3326_CR46","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2025.117126","volume":"476","author":"Q Zhuang","year":"2026","unstructured":"Zhuang, Q., Zhang, Z., Sarkis, M., Lin, T.: Higher-degree rectangular immersed finite elements discontinuous Galerkin methods for elliptic interface problems. J. Comput. Appl. Math. 476, 117126 (2026)","journal-title":"J. Comput. Appl. Math."},{"key":"3326_CR47","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2023.116703","volume":"420","author":"S Adjerid","year":"2024","unstructured":"Adjerid, S., Lin, T., Meghaichi, H.: A high order geometry conforming immersed finite element for elliptic interface problems. Comput. Methods Appl. Mech. Engrg 420, 116703 (2024)","journal-title":"Comput. Methods Appl. Mech. Engrg"},{"key":"3326_CR48","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2025.117829","volume":"438","author":"S Adjerid","year":"2025","unstructured":"Adjerid, S., Lin, T., Meghaichi, H.: The Frenet immersed finite element method for elliptic interface problems: an error analysis. Comput. Methods Appl. Mech. Engrg 438, 117829 (2025)","journal-title":"Comput. Methods Appl. Mech. Engrg"},{"key":"3326_CR49","doi-asserted-by":"crossref","unstructured":"Brenner, S.C., Ridgway Scott, L.: The mathematical theory of finite element methods, volume\u00a015 of Texts in Applied Mathematics. Springer, New York, third edition (2008)","DOI":"10.1007\/978-0-387-75934-0"},{"issue":"1","key":"3326_CR50","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1007\/s10915-017-0415-x","volume":"73","author":"J Guzm\u00e1n","year":"2017","unstructured":"Guzm\u00e1n, J., S\u00e1nchez, M.A., Sarkis, M.: A finite element method for high-contrast interface problems with error estimates independent of contrast. J. Sci. Comput. 73(1), 330\u2013365 (2017)","journal-title":"J. Sci. Comput."},{"key":"3326_CR51","doi-asserted-by":"publisher","first-page":"560","DOI":"10.1016\/j.cam.2018.09.028","volume":"362","author":"Q Zhuang","year":"2019","unstructured":"Zhuang, Q., Guo, R.: High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems. J. Comput. Appl. Math. 362, 560\u2013573 (2019)","journal-title":"J. Comput. Appl. Math."},{"issue":"25","key":"3326_CR52","doi-asserted-by":"publisher","first-page":"2765","DOI":"10.1016\/S0045-7825(03)00294-9","volume":"192","author":"T Warburton","year":"2003","unstructured":"Warburton, T., Hesthaven, J.S.: On the constants in $$hp$$-finite element trace inverse inequalities. Comput. Methods Appl. Mech. Engrg. 192(25), 2765\u20132773 (2003)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"3326_CR53","doi-asserted-by":"crossref","unstructured":"Brenner, S.C.: C0 interior penalty methods. In Frontiers in Numerical Analysis-Durham 2010, 79\u2013147. Springer (2011)","DOI":"10.1007\/978-3-642-23914-4_2"},{"issue":"1","key":"3326_CR54","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3372144","volume":"46","author":"T Cui","year":"2020","unstructured":"Cui, T., Leng, W., Liu, H., Zhang, L., Zheng, W.: High-order numerical quadratures in a tetrahedron with an implicitly defined curved interface. ACM Trans. Math. Softw. (TOMS) 46(1), 1\u201318 (2020)","journal-title":"ACM Trans. Math. Softw. (TOMS)"},{"issue":"2","key":"3326_CR55","doi-asserted-by":"publisher","first-page":"A993","DOI":"10.1137\/140966290","volume":"37","author":"RI Saye","year":"2015","unstructured":"Saye, R.I.: High-order quadrature methods for implicitly defined surfaces and volumes in hyperrectangles. SIAM J. Sci. Comput. 37(2), A993\u2013A1019 (2015)","journal-title":"SIAM J. Sci. Comput."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-026-03326-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-026-03326-4","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-026-03326-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T11:02:41Z","timestamp":1783681361000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-026-03326-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,12]]},"references-count":55,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,8]]}},"alternative-id":["3326"],"URL":"https:\/\/doi.org\/10.1007\/s10915-026-03326-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6,12]]},"assertion":[{"value":"17 September 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 April 2026","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 May 2026","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 June 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 they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"38"}}