{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,5]],"date-time":"2025-01-05T16:40:19Z","timestamp":1736095219735,"version":"3.32.0"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1996,12,1]],"date-time":"1996-12-01T00:00:00Z","timestamp":849398400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1996,12]]},"DOI":"10.1007\/bf02252251","type":"journal-article","created":{"date-parts":[[2005,11,15]],"date-time":"2005-11-15T13:24:36Z","timestamp":1132061076000},"page":"301-322","source":"Crossref","is-referenced-by-count":19,"title":["A posteriori error estimate for the symmetric coupling of finite elements and boundary elements","A posteriori Fehlerabsch\u00e4tzung f\u00fcr die symmetrische Kopplung von Finiten Elementen und Randelementen"],"prefix":"10.1007","volume":"57","author":[{"given":"C.","family":"Carstensen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02252251_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0045-7825(87)90114-9","volume":"61","author":"I. Babu\u015dka","year":"1987","unstructured":"Babu\u015dka, I., Miller, A.: A feedback finite element method with a posteriori error estimation. Comp. Meth. Appl. Mech. Eng.61, 1\u201340 (1987).","journal-title":"Comp. Meth. Appl. Mech. Eng."},{"key":"BF02252251_CR2","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1002\/mma.1670161105","volume":"16","author":"C. Carstensen","year":"1993","unstructured":"Carstensen, C.: Interface problem in holonomic elastoplasticity. Math. Meth. Appl. Sci.16, 819\u2013835 (1993).","journal-title":"Math. Meth. Appl. Sci."},{"key":"BF02252251_CR3","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1137\/0733011","volume":"33","author":"C. Carstensen","year":"1996","unstructured":"Carstensen, C.: Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening. SIAM J. Numer. Anal.33, 171\u2013206 (1996).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02252251_CR4","unstructured":"Carstensen, C.: Adaptive boundary element methods and adaptive finite element and boundary element coupling. In: Boundary value problems and integral equations on non-smooth domains (Costabel, M., Dauge, M., Nicaise, S., eds.), pp. 47\u201358. New York: Marcel Dekker."},{"key":"BF02252251_CR5","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1090\/S0025-5718-96-00671-0","volume":"65","author":"C. Carstensen","year":"1996","unstructured":"Carstensen, C.: Efficiency of a posteriori BEM-error estimates for first kind integral equations on quasi-uniform meshes. Math. Comp.65, 69\u201384 (1996).","journal-title":"Math. Comp."},{"key":"BF02252251_CR6","doi-asserted-by":"crossref","unstructured":"Carstensen, C.: An a posteriori error estimate for a first kind integral equation; Math. Comp. accepted for publication (1996).","DOI":"10.1090\/S0025-5718-96-00671-0"},{"key":"BF02252251_CR7","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1090\/S0025-5718-1995-1277764-7","volume":"64","author":"C. Carstensen","year":"1994","unstructured":"Carstensen, C., Stephan, E. P.: A posteriori error estimates for boundary element methods. Math. Comp.64, 483\u2013500 (1994).","journal-title":"Math. Comp."},{"key":"BF02252251_CR8","doi-asserted-by":"crossref","unstructured":"Carstensen, C., Stephan, E. P.: Adaptive boundary element methods for some first kind integral equations. SIAM J. Numer. Anal. accepted for publication (1995).","DOI":"10.1137\/S0036142993253503"},{"key":"BF02252251_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1051\/m2an\/1995290707791","volume":"29","author":"C. Carstensen","year":"1995","unstructured":"Carstensen, C., Stephan, E. P.: Adaptive coupling of boundary elements and finite elements. Math. Modelling Numer. Anal.29, 1\u201339 (1995).","journal-title":"Math. Modelling Numer. Anal."},{"key":"BF02252251_CR10","doi-asserted-by":"crossref","unstructured":"Carstensen, C., Funken, S., Stephan, E. P.: On the adaptive coupling of FEM and BEM in 2-d-elasticity. Numer. Math. accepted for publication (1996).","DOI":"10.1007\/s002110050283"},{"key":"BF02252251_CR11","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1002\/num.1690110509","volume":"111","author":"C. Carstensen","year":"1995","unstructured":"Carstensen, C. Stephan, E. P.: Coupling of FEM and BEM for a nonlinear interface problem: the h-p Version. Numer. Meth. Partial Diff. Eq.111, 539\u2013554 (1995).","journal-title":"Numer. Meth. Partial Diff. Eq."},{"key":"BF02252251_CR12","first-page":"77","volume":"2","author":"P. Clement","year":"1975","unstructured":"Clement, P.: Approximation by finite element functions using local regularization. RAIRO S\u00e9r. Rouge Anal. Num\u00e9r.R-2, 77\u201384 (1975).","journal-title":"RAIRO S\u00e9r. Rouge Anal. Num\u00e9r. R"},{"key":"BF02252251_CR13","first-page":"411","volume-title":"Boundary elements IX","author":"M. Costabel","year":"1987","unstructured":"Costabel, M.: Symmetric methods for the coupling of finite elements and boundary elements. In: Boundary elements IX, Vol. 1, (Bretia, C. A., ed.), pp. 411\u2013420 Heidelberg New York Tokyo: Springer 1987."},{"key":"BF02252251_CR14","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":"BF02252251_CR15","doi-asserted-by":"crossref","first-page":"175","DOI":"10.4064\/-15-1-175-251","volume":"15","author":"M. Costabel","year":"1985","unstructured":"Costabel, M., Stephan, E. P.: Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation. Banach Center Publ.15, 175\u2013251 (1985).","journal-title":"Banach Center Publ."},{"key":"BF02252251_CR16","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/0022-247X(85)90118-0","volume":"106","author":"M. Costabel","year":"1985","unstructured":"Costabel, M., Stephan, E. P.: A direct boundary integral equation method for transmission problems. J. Math. Anal. Appl.106, 367\u2013413 (1985).","journal-title":"J. Math. Anal. Appl."},{"key":"BF02252251_CR17","doi-asserted-by":"crossref","first-page":"1212","DOI":"10.1137\/0727070","volume":"27","author":"M. Costabel","year":"1990","unstructured":"Costabel, M., Stephan, E. P.: Coupling of finite and boundary element methods for an elastoplastic interface problem. SIAM J. Numer. Anal.27, 1212\u20131226 (1990).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02252251_CR18","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1090\/S0025-5718-1988-0929542-X","volume":"50","author":"K. Eriksson","year":"1988","unstructured":"Eriksson, K., Johnson, C.: An adaptive finite element method for linear elliptic problems. Math. Comp.50, 361\u20133883 (1988).","journal-title":"Math. Comp."},{"key":"BF02252251_CR19","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1137\/0728003","volume":"28","author":"K. Eriksson","year":"1991","unstructured":"Eriksson, K., Johsnon, C.: Adaptive finite element methods for parabolic problems I. A linear model problem. SIAM J. Numer. Anal.28, 43\u201377 (1991).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02252251_CR20","volume-title":"Lokale a-posteriori-Fehlersch\u00e4tzer bei der Diskretisierung von Randintegralgleichungen","author":"B. Faermann","year":"1993","unstructured":"Faermann, B.: Lokale a-posteriori-Fehlersch\u00e4tzer bei der Diskretisierung von Randintegralgleichungen. PhD-thesis, University of Kiel, FRG (1993)."},{"key":"BF02252251_CR21","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF01164277","volume":"147","author":"D. Gaier","year":"1976","unstructured":"Gaier, D.: Integralgleichungen erster Art und konforme Abbildung, Math. Z.147, 113\u2013129 (1976).","journal-title":"Math. Z."},{"key":"BF02252251_CR22","first-page":"681","volume":"10","author":"G. N. Gatica","year":"1990","unstructured":"Gatica, G. N., Hsiao, G. C.: On a class of variational formulations for some nonlinear interface problems. Rendiconti di Mathematica Ser. VII10, 681\u2013715 (1990).","journal-title":"Rendiconti di Mathematica Ser. VII"},{"key":"BF02252251_CR23","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/BF01385504","volume":"61","author":"G. N. Gatica","year":"1992","unstructured":"Gatica, G. N., Hsiao, G. C.: On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem inR 2. Numer. Math.61, 171\u2013214 (1992).","journal-title":"Numer. Math."},{"key":"BF02252251_CR24","first-page":"223","volume":"8","author":"H. Han","year":"1990","unstructured":"Han, H.: A new class of variational formulations for the coupling of finite and boundary element methods. J. Comput. Math.8, 223\u2013232 (1990).","journal-title":"J. Comput. Math."},{"key":"BF02252251_CR25","unstructured":"Heuer, N.: hp-Versionen der Randelementemethode. PhD Dissertation, University of Hannover, (1992)."},{"key":"BF02252251_CR26","first-page":"299","volume":"3","author":"G. C. Hsiao","year":"1981","unstructured":"Hsiao, G. C., Wendland, W. L.: The Aubin-Nitsche lemma for integral equations. J Integr. Eq.3, 299\u2013315 (1981).","journal-title":"J Integr. Eq."},{"key":"BF02252251_CR27","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0045-7825(92)90020-K","volume":"101","author":"C. Johnson","year":"1992","unstructured":"Johnson, C., Hansbo, P.: Adaptive finite element methods in computational mechanics. Comput. Meth. Appl. Mech. Engin.101, 143\u2013181 (1992).","journal-title":"Comput. Meth. Appl. Mech. Engin."},{"key":"BF02252251_CR28","volume-title":"Non-homogeneous boundary value problems and applications","author":"J. L. Lions","year":"1972","unstructured":"Lions, J. L., Magenes, E.: Non-homogeneous boundary value problems and applications, Vol. I. Berlin Heidelberg New York: Springer 1972."},{"key":"BF02252251_CR29","volume-title":"Randwertprobleme der Elastizit\u00e4tstheorie f\u00fcr Polyeder\u2014Singularit\u00e4ten und Approximation mit Randelementmethoden","author":"T. Petersdorff von","year":"1989","unstructured":"von Petersdorff, T.: Randwertprobleme der Elastizit\u00e4tstheorie f\u00fcr Polyeder\u2014Singularit\u00e4ten und Approximation mit Randelementmethoden. PhD-thesis, TH Darmstadt FRG (1989)."},{"key":"BF02252251_CR30","first-page":"259","volume-title":"Boundary elements","author":"E. Rank","year":"1987","unstructured":"Rank, E.: Adaptive boundary element methods. In: Boundary elements9 (Brebbia, C. A., Wendland, W. L., Kuhn, G., eds.), Vol. 1, 259\u2013273, Berlin Heidelberg New York Tokyo: Springer 1987."},{"key":"BF02252251_CR31","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1080\/00036819308840148","volume":"48","author":"J. Saranen","year":"1993","unstructured":"Saranen, J., Wendland, W. L.: Local residual-type error estimates for adaptive boundary element methods on closed curves. Appl. Anal.48, 37\u201350 (1993).","journal-title":"Appl. Anal."},{"key":"BF02252251_CR32","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1093\/imanum\/8.1.105","volume":"8","author":"I. H. Sloan","year":"1988","unstructured":"Sloan, I. H., Spence, A.: The Galerkin method for integral equations of the first kind with logarithmic kernel: theory. IMA J. Numer. Anal.8, 105\u2013122 (1988).","journal-title":"IMA J. Numer. Anal."},{"key":"BF02252251_CR33","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1051\/m2an\/1991250607831","volume":"25","author":"E. P. Stephan","year":"1991","unstructured":"Stephan, E. P., Suri, M.: The hp-version of the boundary element method on polygonal domains with quasiuniform meshes. Math. Modell. Numer. Anal.25, 783\u2013807 (1991).","journal-title":"Math. Modell. Numer. Anal."},{"key":"BF02252251_CR34","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/BF03655515","volume":"1","author":"E. P. Stephan","year":"1976","unstructured":"Stephan, E. P., Wendland W. L.: Remarks on Galerkin and least squares methods with finite elements for general elliptic problems. Manusc. Geod.1, 93\u2013123 (1976).","journal-title":"Manusc. Geod."},{"key":"BF02252251_CR35","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1002\/mma.1670010305","volume":"1","author":"E. P. Stephan","year":"1979","unstructured":"Stephan, E. P., Wendland, W. L., Hsiao, G. C.: On the integral equation method for the plane mixed boundary value problem of the Laplacian. Math. Meth. Appl. Sci.1, 265\u2013321 (1979).","journal-title":"Math. Meth. Appl. Sci."},{"key":"BF02252251_CR36","series-title":"Teubner Skripten zur Numerik","volume-title":"A review of a posteriori error estimation and adaptive mesh-refinement techniques","author":"R. Verf\u00fcrth","year":"1996","unstructured":"Verf\u00fcrth, R.: A review of a posteriori error estimation and adaptive mesh-refinement techniques. Teubner Skripten zur Numerik. Stuttgart: B.G. Teubner 1996."},{"key":"BF02252251_CR37","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/978-3-7091-2826-8_6","volume-title":"Finite and boundary element techniques from mathematical and engineering point of view","author":"W. L. Wendland","year":"1988","unstructured":"Wendland, W. L.: On asymptotic error estimates for combined BEM and FEM. In: Finite and boundary element techniques from mathematical and engineering point of view (Stein, E., Wendland, W. L., eds.), pp. 273\u2013331. New York: Springer 1988."},{"key":"BF02252251_CR38","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1007\/BF01397551","volume":"53","author":"W. L. Wendland","year":"1988","unstructured":"Wendland, W. L., Yu, D.: Adaptive boundary element methods for strongly elliptic integral equations. Numer. Math.53, 539\u2013558 (1988).","journal-title":"Numer. Math."},{"key":"BF02252251_CR39","first-page":"273","volume":"10","author":"W. L. Wendland","year":"1992","unstructured":"Wendland, W. L., Yu, D.: A posteriori local error estimates of boundary element methods with some pseudo-differential equations on closed curves. J. Comput. Math.10, 273\u2013289 (1992).","journal-title":"J. Comput. Math."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02252251.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02252251\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02252251","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,5]],"date-time":"2025-01-05T16:26:26Z","timestamp":1736094386000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02252251"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,12]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1996,12]]}},"alternative-id":["BF02252251"],"URL":"https:\/\/doi.org\/10.1007\/bf02252251","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"type":"print","value":"0010-485X"},{"type":"electronic","value":"1436-5057"}],"subject":[],"published":{"date-parts":[[1996,12]]}}}