{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,24]],"date-time":"2025-03-24T06:28:57Z","timestamp":1742797737194},"reference-count":40,"publisher":"Elsevier BV","issue":"11","license":[{"start":{"date-parts":[[1997,1,1]],"date-time":"1997-01-01T00:00:00Z","timestamp":852076800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Computing"],"published-print":{"date-parts":[[1997,1]]},"DOI":"10.1016\/s0167-8191(96)00055-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T13:15:57Z","timestamp":1027602957000},"page":"1527-1544","source":"Crossref","is-referenced-by-count":13,"title":["Parallel solvers for nonlinear elliptic problems based on domain decomposition ideas"],"prefix":"10.1016","volume":"22","author":[{"given":"Bodo","family":"Heise","sequence":"first","affiliation":[]},{"given":"Michael","family":"Jung","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0167-8191(96)00055-5_BIB1","article-title":"Parallele adaptive Mehrgitterverfahren","author":"Bastian","year":"1994"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB2","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1137\/0912079","article-title":"Parallelization of robust multigrid methods: ILU factorization and frequency decomposition method","volume":"12","author":"Bastian","year":"1991","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB3_1","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1090\/S0025-5718-1986-0842125-3","article-title":"The construction of preconditioners for elliptic problems by substructuring I-IV","volume":"47","author":"Bramble","year":"1986","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB3_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1987-0890250-4","article-title":"The construction of preconditioners for elliptic problems by substructuring I-IV","volume":"49","author":"Bramble","year":"1987","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB3_3","first-page":"415","article-title":"The construction of preconditioners for elliptic problems by substructuring I-IV","volume":"51","author":"Bramble","year":"1988","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB3_4","first-page":"1","article-title":"The construction of preconditioners for elliptic problems by substructuring I-IV","volume":"53","author":"Bramble","year":"1989","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1990-1023042-6","article-title":"Parallel multilevel preconditioners","volume":"55","author":"Bramble","year":"1990","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB5","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/BF01399311","article-title":"A capacitance matrix method for Dirichlet problems on polygonal regions","volume":"39","author":"Dryja","year":"1982","journal-title":"Numer. Math."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB6","series-title":"Domain Decomposition Methods for Partial Differential Equations","first-page":"3","article-title":"Towards a unified theory of domain decomposition algorithms for elliptic problems","author":"Dryja","year":"1990"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB7","doi-asserted-by":"crossref","first-page":"589","DOI":"10.1137\/0909038","article-title":"Modified cyclic algorithms for solving triangular systems on distributed-memory multiprocessors","volume":"9","author":"Eisenstat","year":"1988","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB8","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1137\/0909042","article-title":"LU factorization algorithms on distributed-memory architectures","volume":"9","author":"Geist","year":"1988","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB9","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/0167-8191(94)00085-O","article-title":"PARMESH \u2014 A parallel mesh generator","volume":"21","author":"Globisch","year":"1995","journal-title":"Parallel Computing"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB10","article-title":"Preprocessing in BE\/FE domain decomposition methods","author":"Goppold","year":"1996"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB11","article-title":"FEMBEM \u2014 A parallel solver for linear and nonlinear coupled FE\/BE-equations, DFG-Schwerpunkt \u201cRandelementmethoden\u201d","author":"Haase","year":"1994"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB12_1","series-title":"Boundary Element Topics","article-title":"Adaptive domain decomposition methods for finite and boundary element equations","author":"Haase","year":"1996"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB12_2","series-title":"Proc. Final Conf. of the Priority Research Programme \u2018Boundary Element Methods 1989\u20131995\u2019 of the German Research Foundation (DFG)","author":"Haase","year":"1995"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB12_3","author":"Haase","year":"1995"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB13","article-title":"Bibliotheken zur Entwicklung paralleler Algorithmen","author":"Haase","year":"1995"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB14","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1080\/00207169208804106","article-title":"The non-overlapping domain decomposition multiplicative Schwarz method","volume":"44","author":"Haase","year":"1992","journal-title":"Internat. J. Comput. Math."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB15_1","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF02253431","article-title":"The approximate Dirichlet domain decomposition method, Part I: An algebraic approach, Part II: Applications to 2nd-order elliptic boundary value problems","volume":"47","author":"Haase","year":"1991","journal-title":"Computing"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB15_2","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF02253432","article-title":"The approximate Dirichlet domain decomposition method, Part I: An algebraic approach, Part II: Applications to 2nd-order elliptic boundary value problems","volume":"47","author":"Haase","year":"1991","journal-title":"Computing"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB16","first-page":"27","article-title":"Domain decomposition preconditioners with inexact subdomain solvers","volume":"1","author":"Haase","year":"1992","journal-title":"J. Num. Lin. Alg. Appl."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB17","first-page":"173","article-title":"Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners","volume":"2","author":"Haase","year":"1994","journal-title":"East-West J. Numer. Math."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB18","article-title":"Mehrgitter-Newton-Verfahren zur Berechnung nichtlinearer magnetischer Felder","author":"Heise","year":"1991"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB19","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1006\/icse.1993.1004","article-title":"Nonlinear field calculations with multigrid-Newton methods","volume":"5","author":"Heise","year":"1993","journal-title":"IMPACT Comput. Sci. and Engineering"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB20","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1137\/0731040","article-title":"Analysis of a fully discrete finite element method for a nonlinear magnetic field problem","volume":"31","author":"Heise","year":"1994","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB21","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/0377-0427(95)00065-8","article-title":"Nonlinear simulation of electromagnetic fields with domain decomposition methods on MIMD parallel computers","volume":"63","author":"Heise","year":"1995","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB22","series-title":"Proc. 11th GAMM-Seminar","article-title":"Parallel solvers for coupled FEM-BEM equations with applications to non-linear magnetic field problems","volume":"Vol. 51","author":"Heise","year":"1995"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB23","article-title":"Nonlinear field simulation with FE domain decomposition methods on massively parallel computers","author":"Heise","year":"1996","journal-title":"Surveys Math. Industry"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB24","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/BF02238514","article-title":"Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled FE\/BE formulations","volume":"56","author":"Heise","year":"1996","journal-title":"Computing"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB25","doi-asserted-by":"crossref","DOI":"10.1016\/S0168-9274(96)00064-5","article-title":"On the parallelization of multi-grid methods using a non-overlapping domain decomposition data structure","author":"Jung","year":"1997","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/S0167-8191(96)00055-5_BIB26","series-title":"Third Multigrid Seminar","first-page":"11","article-title":"Multigrid preconditioners and their applications","author":"Jung","year":"1989"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB27","article-title":"Preconditioned Uzawa-type iterative methods for solving mixed finite element equations","author":"Langer","year":"1987"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB28","article-title":"Ein schneller adaptiver L\u00f6ser f\u00fcr elliptische Randwertprobleme auf Seriell- und Parallelrechnern","author":"Leinen","year":"1990"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0899-8248(91)90015-M","article-title":"Multigrid methods on parallel computers \u2014 A survey of recent developments","volume":"3","author":"McBryan","year":"1991","journal-title":"IMPACT Comput. Sci. and Engineering"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB30","article-title":"Kommunikationstechnologien beim parallelen vorkonditionierten Schur-Komplement CG-Verfahren","author":"Meisel","year":"1995"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB31","article-title":"Gebietszerlegung und Mehrgitterverfahren: Varianten, numerische Untersuchungen und Aspekte der Parallelisierung","author":"Ressel","year":"1990"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB32","author":"Samarskij","year":"1989"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB33","article-title":"Domain decomposition algorithms for the partial differential equations of linear elasticity","author":"Smith","year":"1990"},{"key":"10.1016\/S0167-8191(96)00055-5_BIB34","doi-asserted-by":"crossref","first-page":"1486","DOI":"10.1137\/0912082","article-title":"A domain decomposition preconditioner based on a change to a multilevel nodal basis","volume":"12","author":"Tong","year":"1991","journal-title":"SIAM J. Sci. Stat. Comput."}],"container-title":["Parallel Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167819196000555?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167819196000555?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,29]],"date-time":"2019-04-29T18:28:45Z","timestamp":1556562525000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167819196000555"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":40,"journal-issue":{"issue":"11","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["S0167819196000555"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8191(96)00055-5","relation":{},"ISSN":["0167-8191"],"issn-type":[{"value":"0167-8191","type":"print"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}