{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T01:06:49Z","timestamp":1778548009000,"version":"3.51.4"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,6,15]],"date-time":"2010-06-15T00:00:00Z","timestamp":1276560000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2011,5]]},"DOI":"10.1007\/s00211-010-0315-6","type":"journal-article","created":{"date-parts":[[2010,6,14]],"date-time":"2010-06-14T09:42:58Z","timestamp":1276508578000},"page":"171-195","source":"Crossref","is-referenced-by-count":25,"title":["Stable boundary element domain decomposition methods for the Helmholtz equation"],"prefix":"10.1007","volume":"118","author":[{"given":"O.","family":"Steinbach","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Windisch","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,6,15]]},"reference":[{"key":"315_CR1","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1006\/jcph.1997.5742","volume":"136","author":"J.-D. Benamou","year":"1997","unstructured":"Benamou J.-D., Despr\u00e8s B.: A domain decomposition method for the Helmholtz equation and related optimal control problems. J. Comput. Phys. 136, 68\u201382 (1997)","journal-title":"J. Comput. Phys."},{"key":"315_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s002110200397","volume":"94","author":"S.C. Brenner","year":"2003","unstructured":"Brenner S.C.: An additive Schwarz preconditioner for the FETI method. Numer. Math. 94, 1\u201331 (2003)","journal-title":"Numer. Math."},{"key":"315_CR3","doi-asserted-by":"crossref","first-page":"1997","DOI":"10.1088\/0266-5611\/17\/6\/327","volume":"17","author":"F. Cakoni","year":"2001","unstructured":"Cakoni F., Colton D., Monk P.: The direct and inverse scattering problems for partially coated obstacles. Inverse Probl. 17, 1997\u20132015 (2001)","journal-title":"Inverse Probl."},{"key":"315_CR4","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1137\/0519043","volume":"19","author":"M. Costabel","year":"1988","unstructured":"Costabel M.: Boundary integral operators on Lipschitz domains: elementary results. SIAM J. Math. Anal. 19, 613\u2013626 (1988)","journal-title":"SIAM J. Math. Anal."},{"key":"315_CR5","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/PL00005389","volume":"85","author":"C. Farhat","year":"2000","unstructured":"Farhat C., Macedo A., Lesoinne M.: A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems. Numer. Math. 85, 283\u2013308 (2000)","journal-title":"Numer. Math."},{"key":"315_CR6","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1002\/nme.1620320604","volume":"32","author":"C. Farhat","year":"1991","unstructured":"Farhat C., Roux F.-X.: A method of finite element tearing and interconnecting and its parallel solution algorithm. Int. J. Numer. Methods Eng. 32, 1205\u20131227 (1991)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"315_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02519033","volume":"2","author":"C. Farhat","year":"1994","unstructured":"Farhat C., Roux F.-X.: Implicit parallel processing in structural mechanics. Comput. Mech. Adv. 2, 1\u2013124 (1994)","journal-title":"Comput. Mech. Adv."},{"key":"315_CR8","doi-asserted-by":"crossref","unstructured":"Hsiao, G.C., Wendland, W.L.: Boundary integral equations. In: Applied Mathematical Sciences, vol. 164. Springer, Berlin (2008)","DOI":"10.1007\/978-3-540-68545-6"},{"key":"315_CR9","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1002\/1097-0312(200101)54:1<57::AID-CPA3>3.0.CO;2-D","volume":"54","author":"A. Klawonn","year":"2001","unstructured":"Klawonn A., Widlund O.B.: FETI and Neumann\u2013Neumann iterative substructuring methods: connections and new results. Commun. Pure Appl. Math. 54, 57\u201390 (2001)","journal-title":"Commun. Pure Appl. Math."},{"key":"315_CR10","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1137\/050636243","volume":"29","author":"U. Langer","year":"2007","unstructured":"Langer U., Of G., Steinbach O., Zulehner W.: Inexact data-sparse boundary element tearing and interconnecting methods. SIAM J. Sci. Comput. 29, 290\u2013314 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"315_CR11","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/s00607-003-0018-2","volume":"71","author":"U. Langer","year":"2003","unstructured":"Langer U., Steinbach O.: Boundary element tearing and interconnecting methods. Computing 71, 205\u2013228 (2003)","journal-title":"Computing"},{"key":"315_CR12","volume-title":"Strongly Elliptic Systems and Boundary Integral Equations","author":"W. McLean","year":"2000","unstructured":"McLean W.: Strongly Elliptic Systems and Boundary Integral Equations. Cambridge University Press, London (2000)"},{"key":"315_CR13","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1007\/s211-001-8014-1","volume":"88","author":"J. Mandel","year":"2001","unstructured":"Mandel J., Tezaur R.: On the convergence of a dual\u2013primal substructuring method. Numer. Math. 88, 543\u2013558 (2001)","journal-title":"Numer. Math."},{"key":"315_CR14","unstructured":"N\u00e9d\u00e9lec, J.-C.: Acoustic and Electromagnetic Equations. Integral Representations for Harmonic Problems. In: Applied Mathematical Sciences, vol. 144. Springer, New York (2001)"},{"key":"315_CR15","unstructured":"Pierson, K.H., Raghaven, P., Reese, G.M.: Experiences with FETI\u2013DP in a production level finite element approximation. In: Herrera, I., Keyes, D.E., Widlund, O., Yates, R. (eds.) Domain decomposition methods in science and engineering, proceedings of the 14th International Conference on Domain Decomposition Methods, Cocoyoc, Mexico, 1st edn. The National Autonomous University of Mexico (UNAM), Mexico City, pp. 233\u2013240. ISBN 970-32-0859-2 (2003)"},{"key":"315_CR16","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198501787.001.0001","volume-title":"Domain Decomposition Methods for Partial Differential Equations","author":"A. Quarteroni","year":"1999","unstructured":"Quarteroni A., Valli A.: Domain Decomposition Methods for Partial Differential Equations. Oxford Science Publications, Oxford (1999)"},{"key":"315_CR17","doi-asserted-by":"crossref","unstructured":"Sauter, S.A., Schwab, C.: Randelementmethoden. Analyse, Numerik und Implementierung schneller Algorithmen. B. G. Teubner, Stuttgart (2004)","DOI":"10.1007\/978-3-322-80037-4_4"},{"key":"315_CR18","doi-asserted-by":"crossref","unstructured":"Steinbach, O.: Stability estimates for hybrid coupled domain decomposition methods. In: Lecture Notes in Mathematics, vol. 1809. Springer, Berlin (2003)","DOI":"10.1007\/b80164"},{"key":"315_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-68805-3","volume-title":"Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements","author":"O. Steinbach","year":"2008","unstructured":"Steinbach O.: Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements. Springer, New York (2008)"},{"key":"315_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/b137868","volume-title":"Domain decomposition methods. Algorithms and theory. In: Springer Series in Computational Mathematics, vol. 34","author":"A. Toselli","year":"2005","unstructured":"Toselli A., Widlund O.: Domain decomposition methods. Algorithms and theory. In: Springer Series in Computational Mathematics, vol. 34. Springer, Berlin (2005)"},{"key":"315_CR21","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1109\/LAWP.2007.895288","volume":"6","author":"C.T. Wolfe","year":"2007","unstructured":"Wolfe C.T., Gedney S.D.: Preconditioning the FETI method for accelerating the solution of large EM scattering problems. IEEE Antennas Wireless Propag. Lett. 6, 175\u2013178 (2007)","journal-title":"IEEE Antennas Wireless Propag. Lett."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-010-0315-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-010-0315-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-010-0315-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,27]],"date-time":"2024-03-27T16:04:57Z","timestamp":1711555497000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-010-0315-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,15]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,5]]}},"alternative-id":["315"],"URL":"https:\/\/doi.org\/10.1007\/s00211-010-0315-6","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6,15]]}}}