{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T06:59:21Z","timestamp":1719989961295},"reference-count":44,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2023,4]]},"DOI":"10.1016\/j.cam.2022.114946","type":"journal-article","created":{"date-parts":[[2022,11,12]],"date-time":"2022-11-12T03:19:32Z","timestamp":1668223172000},"page":"114946","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints"],"prefix":"10.1016","volume":"422","author":[{"ORCID":"http:\/\/orcid.org\/0000-0003-2608-7637","authenticated-orcid":false,"given":"Dennis","family":"Groh","sequence":"first","affiliation":[]},{"given":"Caren","family":"Tischendorf","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"9","key":"10.1016\/j.cam.2022.114946_b1","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1142\/S0218202503002908","article-title":"Elliptic partial differential\u2013algebraic multiphysics models in electrical network design","volume":"13","author":"Al\u00ed","year":"2003","journal-title":"Math. Models Methods Appl. Sci."},{"key":"10.1016\/j.cam.2022.114946_b2","series-title":"Coupled Systems of Differential Algebraic and Partial Differential Equations in Circuit and Device Simulation. Modeling and Numerical Analysis","author":"Tischendorf","year":"2003"},{"issue":"3","key":"10.1016\/j.cam.2022.114946_b3","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1137\/040610696","article-title":"Parabolic differential-algebraic models in electrical network design","volume":"4","author":"Al\u00ed","year":"2003","journal-title":"SIAM Multiscale Model. Simul."},{"key":"10.1016\/j.cam.2022.114946_b4","series-title":"Multiscale Modeling and Multirate Time-Integration of Field\/Circuit Coupled Problems","author":"Sch\u00f6ps","year":"2011"},{"key":"10.1016\/j.cam.2022.114946_b5","series-title":"Scientific Computing in Electrical Engineering SCEE 2008","first-page":"305","article-title":"Hyperbolic PDAEs for semiconductor devices coupled with circuits","author":"Al\u00ed","year":"2010"},{"issue":"12","key":"10.1016\/j.cam.2022.114946_b6","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1016\/j.apnum.2011.08.004","article-title":"Structural analysis of electrical circuits including magnetoquasistatic devices","volume":"61","author":"Bartel","year":"2011","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.cam.2022.114946_b7","series-title":"Progress in Industrial Mathematics at ECMI 2010","first-page":"45","article-title":"An existence result for index-2 PDAE system arising in semiconductor modeling","author":"Al\u00ec","year":"2012"},{"key":"10.1016\/j.cam.2022.114946_b8","series-title":"Differential-Algebraic Equations: A Projector Based Analysis","author":"Lamour","year":"2013"},{"key":"10.1016\/j.cam.2022.114946_b9","series-title":"2019 International Conference on Electromagnetics in Advanced Applications","first-page":"1286","article-title":"Waveform relaxation for field\/circuit coupled problems with cutsets of inductances and current sources","author":"Cortes Garcia","year":"2019"},{"key":"10.1016\/j.cam.2022.114946_b10","series-title":"Mathematical Analysis and Simulation of Field Models in Accelerator Circuits","author":"Cortes Garcia","year":"2021"},{"key":"10.1016\/j.cam.2022.114946_b11","series-title":"Circuit Simulation Including Full-Wave Maxwell\u2019s Equations","author":"Strohm","year":"2021"},{"key":"10.1016\/j.cam.2022.114946_b12","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1051\/m2an:2004036","article-title":"Analysis of lumped parameter models for blood flow simulations and their relation with 1D models","volume":"38","author":"Milisic","year":"2004","journal-title":"Math. Model. Numer. Anal."},{"issue":"1","key":"10.1016\/j.cam.2022.114946_b13","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1186\/1475-925X-10-33","article-title":"Review of zero-D and 1-D models of blood flow in the cardiovascular system","volume":"10","author":"Shi","year":"2011","journal-title":"BioMed. Eng. OnLine"},{"key":"10.1016\/j.cam.2022.114946_b14","series-title":"Multi-scale Modeling of Flow and Transport Processes in Arterial Networks and Tissue","author":"K\u00f6ppel","year":"2015"},{"key":"10.1016\/j.cam.2022.114946_b15","first-page":"3","article-title":"Modeling and numerical simulation of pipe flow problems in water supply systems","volume":"vol. 162","author":"Steinebach","year":"2012"},{"key":"10.1016\/j.cam.2022.114946_b16","series-title":"Progress in Differential-Algebraic Equations: Deskriptor 2013","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/978-3-662-44926-4_7","article-title":"A unified (P)DAE modeling approach for flow networks","author":"Jansen","year":"2014"},{"key":"10.1016\/j.cam.2022.114946_b17","series-title":"Progress in Differential-Algebraic Equations II. Differential-Algebraic Equations Forum","doi-asserted-by":"crossref","DOI":"10.1007\/11221_2018_5","article-title":"Gas network benchmark models","author":"Benner","year":"2018"},{"key":"10.1016\/j.cam.2022.114946_b18","series-title":"Perturbation Analysis and Numerical Discretisation of Hyperbolic Partial Differential Algebraic Equations Describing Flow Networks","author":"Huck","year":"2018"},{"issue":"1","key":"10.1016\/j.cam.2022.114946_b19","doi-asserted-by":"crossref","first-page":"A331","DOI":"10.1137\/17M1125303","article-title":"On structure-preserving model reduction for damped wave propagation in transport networks","volume":"40","author":"Egger","year":"2018","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.cam.2022.114946_b20","series-title":"Gas network modeling: An overview","first-page":"53","author":"Domschke","year":"2021"},{"issue":"1","key":"10.1016\/j.cam.2022.114946_b21","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1186\/s13362-021-00109-4","article-title":"Model order reduction for gas and energy networks","volume":"11","author":"Himpe","year":"2021","journal-title":"J. Math. Ind."},{"key":"10.1016\/j.cam.2022.114946_b22","article-title":"MathEnergy \u2013 mathematical key technologies for evolving energy grids","volume":"vol. 34","author":"Fokken","year":"2021"},{"key":"10.1016\/j.cam.2022.114946_b23","series-title":"Analysis of Partial Differential Algebraic Equations","author":"Marszalek","year":"1997"},{"issue":"3","key":"10.1016\/j.cam.2022.114946_b24","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1023\/A:1022370703243","article-title":"Indexes and special discretization methods for linear partial differential algebraic equations","volume":"39","author":"Lucht","year":"1999","journal-title":"BIT Numer. Math."},{"key":"10.1016\/j.cam.2022.114946_b25","series-title":"Numerische Behandlung Linearer und Semilinearer Partieller Differentiell-Algebraischer Systeme mit Runge-Kutta-Methoden","author":"Debrabant","year":"2004"},{"issue":"3","key":"10.1016\/j.cam.2022.114946_b26","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1016\/j.apnum.2010.11.003","article-title":"Convergence analysis of a partial differential algebraic system from coupling a semiconductor model to a circuit model","volume":"61","author":"Matthes","year":"2011","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.cam.2022.114946_b27","first-page":"51","article-title":"Generalized multilevel SQP-methods for PDAE-constrained optimization based on space-time adaptive PDAE solvers","volume":"vol. 160","author":"Clever","year":"2012"},{"issue":"4","key":"10.1016\/j.cam.2022.114946_b28","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1515\/cmam-2013-0018","article-title":"Operator differential-algebraic equations arising in fluid dynamics","volume":"13","author":"Emmrich","year":"2013","journal-title":"Comput. Methods Appl. Math."},{"key":"10.1016\/j.cam.2022.114946_b29","series-title":"Decoupling and Optimization of Differential-Algebraic Equations with Application in Flow Control","author":"Heiland","year":"2014"},{"key":"10.1016\/j.cam.2022.114946_b30","series-title":"Regularization and Simulation of Constrained Partial Differential Equations","author":"Altmann","year":"2015"},{"key":"10.1016\/j.cam.2022.114946_b31","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1016\/j.jcp.2016.10.003","article-title":"High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models","volume":"327","author":"Borsche","year":"2016","journal-title":"J. Comput. Phys."},{"issue":"3","key":"10.1016\/j.cam.2022.114946_b32","first-page":"452","article-title":"Regularization and rothe discretization of semi-explicit operator DAEs","volume":"15","author":"Altmann","year":"2018","journal-title":"Int. J. Numer. Anal. Model."},{"key":"10.1016\/j.cam.2022.114946_b33","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1090\/mcom\/3270","article-title":"Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations","volume":"87","author":"Altmann","year":"2018","journal-title":"Math. Comp."},{"key":"10.1016\/j.cam.2022.114946_b34","series-title":"Progress in Differential-Algebraic Equations II","first-page":"137","article-title":"Exponential integrators for semi-linear parabolic problems with linear constraints","author":"Altmann","year":"2020"},{"key":"10.1016\/j.cam.2022.114946_b35","series-title":"Temporal Discretization of Constrained Partial Differential Equations","author":"Zimmer","year":"2021"},{"key":"10.1016\/j.cam.2022.114946_b36","doi-asserted-by":"crossref","first-page":"1089","DOI":"10.1090\/mcom\/3608","article-title":"Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems","volume":"90","author":"Altmann","year":"2021","journal-title":"Math. Comp."},{"key":"10.1016\/j.cam.2022.114946_b37","series-title":"Numerical Analysis of Nonlinear Partial Differential-Algebraic Equations","author":"Matthes","year":"2012"},{"key":"10.1016\/j.cam.2022.114946_b38","series-title":"Nonlinear Monotone Operators, Vol. 2","author":"Zeidler","year":"1990"},{"issue":"2","key":"10.1016\/j.cam.2022.114946_b39","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1002\/(SICI)1097-007X(200003\/04)28:2<131::AID-CTA100>3.0.CO;2-W","article-title":"Structural analysis of electric circuits and consequences for MNA","volume":"28","author":"Est\u00e9vez Schwarz","year":"2000","journal-title":"Int. J. Circuit Theory Appl."},{"key":"10.1016\/j.cam.2022.114946_b40","series-title":"Ordinary Differential Equations","author":"Hartmann","year":"2002"},{"key":"10.1016\/j.cam.2022.114946_b41","series-title":"Linear Monotone Operators, Vol. 2","author":"Zeidler","year":"1990"},{"key":"10.1016\/j.cam.2022.114946_b42","series-title":"Finite Elemente","author":"Braess","year":"2013"},{"key":"10.1016\/j.cam.2022.114946_b43","series-title":"Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations","author":"Ascher","year":"1998"},{"key":"10.1016\/j.cam.2022.114946_b44","series-title":"Gew\u00f6hnliche Differentialgleichungen","author":"Amann","year":"1995"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042722005441?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042722005441?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T22:44:36Z","timestamp":1707777876000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042722005441"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4]]},"references-count":44,"alternative-id":["S0377042722005441"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2022.114946","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2023,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2022.114946","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"114946"}}