{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T10:21:43Z","timestamp":1758709303131},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,1,10]],"date-time":"2007-01-10T00:00:00Z","timestamp":1168387200000},"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":[[2007,3,2]]},"DOI":"10.1007\/s00211-006-0058-6","type":"journal-article","created":{"date-parts":[[2007,1,9]],"date-time":"2007-01-09T05:55:21Z","timestamp":1168322121000},"page":"69-97","source":"Crossref","is-referenced-by-count":8,"title":["The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces"],"prefix":"10.1007","volume":"106","author":[{"given":"Alexei","family":"Bespalov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Norbert","family":"Heuer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,1,10]]},"reference":[{"key":"58_CR1","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1137\/S0036142903423460","volume":"42","author":"M. Ainsworth","year":"2004","unstructured":"Ainsworth M. (2004). Discrete dispersion relation for hp-version finite element approximation at high wave number. SIAM J. Numer. Anal. 42: 553\u2013575","journal-title":"SIAM J. Numer. Anal."},{"key":"58_CR2","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1051\/m2an\/1987210201991","volume":"21","author":"I. Babu\u0161ka","year":"1987","unstructured":"Babu\u0161ka I. and Suri M. (1987). The h-p version of the finite element method with quasiuniform meshes. RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r. 21: 199\u2013238","journal-title":"RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r."},{"key":"58_CR3","doi-asserted-by":"crossref","first-page":"750","DOI":"10.1137\/0724049","volume":"24","author":"I. Babu\u0161ka","year":"1987","unstructured":"Babu\u0161ka I. and Suri M. (1987). The optimal convergence rate of the p-version of the finite element method. SIAM J. Numer. Anal. 24: 750\u2013776","journal-title":"SIAM J. Numer. Anal."},{"key":"58_CR4","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1137\/0718033","volume":"18","author":"I. Babu\u0161ka","year":"1981","unstructured":"Babu\u0161ka I., Szabo B.A. and Katz I.N. (1981). The p-version of the finite element method. SIAM J. Numer. Anal. 18: 515\u2013545","journal-title":"SIAM J. Numer. Anal."},{"key":"58_CR5","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1216\/jiea\/1181075334","volume":"17","author":"A. Bespalov","year":"2005","unstructured":"Bespalov A. and Heuer N. (2005). The p-version of the boundary element method for a three-dimensional crack problem. J. Integr. Equat. Appl. 17: 243\u2013258","journal-title":"J. Integr. Equat. Appl."},{"key":"58_CR6","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/s00211-005-0590-9","volume":"100","author":"A. Bespalov","year":"2005","unstructured":"Bespalov A. and Heuer N. (2005). The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. Numer. Math. 100: 185\u2013209","journal-title":"Numer. Math."},{"key":"58_CR7","doi-asserted-by":"crossref","unstructured":"Bespalov, A., Heuer, N.: The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. Report 05\/2, BICOM, Brunel University, UK (2005)","DOI":"10.1007\/s00211-005-0590-9"},{"key":"58_CR8","unstructured":"Bespalov, A., Heuer, N.: The hp-version of the boundary element method with quasi-uniform meshes in three dimensions. Report 06\/1, BICOM, Brunel University, UK (2006)"},{"key":"58_CR9","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1137\/0519043","volume":"19","author":"M. Costabel","year":"1988","unstructured":"Costabel M. (1988). Boundary integral operators on Lipschitz domains: Elementary results. SIAM J. Math. Anal. 19: 613\u2013626","journal-title":"SIAM J. Math. Anal."},{"key":"58_CR10","volume-title":"Elliptic Problems in Nonsmooth Domains","author":"P. Grisvard","year":"1985","unstructured":"Grisvard P. (1985). Elliptic Problems in Nonsmooth Domains. Pitman Publishing Inc., Boston"},{"key":"58_CR11","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/s10444-004-7618-z","volume":"24","author":"B.Q. Guo","year":"2006","unstructured":"Guo B.Q. and Heuer N. (2006). The optimal convergence of the h\u2013p version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains. Adv. Comp. Math. 24: 353\u2013374","journal-title":"Adv. Comp. Math."},{"key":"58_CR12","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1007\/s002119900082","volume":"83","author":"N. Heuer","year":"1999","unstructured":"Heuer N., Maischak M. and Stephan E.P. (1999). Exponential convergence of the hp-version for the boundary element method on open surfaces. Numer. Math. 83: 641\u2013666","journal-title":"Numer. Math."},{"key":"58_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0377-0427(91)90143-8","volume":"34","author":"G.C. Hsiao","year":"1991","unstructured":"Hsiao G.C., Stephan E.P. and Wendland W.L. (1991). On the Dirichlet problem in elasticity for a domain exterior to an arc. J. Comput. Appl. Math. 34: 1\u201319","journal-title":"J. Comput. Appl. Math."},{"key":"58_CR14","volume-title":"Non-Homogeneous Boundary Value Problems and Applications I","author":"J.L. Lions","year":"1972","unstructured":"Lions J.L. and Magenes E. (1972). Non-Homogeneous Boundary Value Problems and Applications I. Springer, Berlin Heidelberg New York"},{"key":"58_CR15","volume-title":"Les M\u00e9thodes Directes en Th\u00e9orie des \u00c9quations Elliptiques","author":"J. Ne\u010das","year":"1967","unstructured":"Ne\u010das J. (1967). Les M\u00e9thodes Directes en Th\u00e9orie des \u00c9quations Elliptiques. Academia, Prague"},{"key":"58_CR16","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1137\/0733037","volume":"33","author":"C. Schwab","year":"1996","unstructured":"Schwab C. and Suri M. (1996). The optimal p-version approximation of singularities on polyhedra in the boundary element method. SIAM J. Numer. Anal. 33: 729\u2013759","journal-title":"SIAM J. Numer. Anal."},{"key":"58_CR17","first-page":"257","volume":"10","author":"E.P. Stephan","year":"1987","unstructured":"Stephan E.P. (1987). Boundary integral equations for screen problems in R3. Integr. Equat. Operator Theory 10: 257\u2013263","journal-title":"Integr. Equat. Operator Theory"},{"key":"58_CR18","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1051\/m2an\/1991250607831","volume":"25","author":"E.P. Stephan","year":"1991","unstructured":"Stephan E.P. and Suri M. (1991). The h-p version of the boundary element method on polygonal domains with quasiuniform meshes. RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r. 25: 783\u2013807","journal-title":"RAIRO Mod\u00e9l. Math. Anal. Num\u00e9r."},{"key":"58_CR19","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1002\/mana.19901490106","volume":"149","author":"T. Petersdorff von","year":"1990","unstructured":"Stephan E.P. and Petersdorff T. (1990). Decompositions in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron. Math. Nachr. 149: 71\u2013104","journal-title":"Math. Nachr."},{"key":"58_CR20","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1002\/mma.1670120306","volume":"12","author":"T. Petersdorff von","year":"1990","unstructured":"Stephan E.P. and Petersdorff T. (1990). Regularity of mixed boundary value problems in R 3 and boundary element methods on graded meshes. Math. Methods Appl. Sci. 12: 229\u2013249","journal-title":"Math. Methods Appl. Sci."},{"key":"58_CR21","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/0895-7177(91)90021-X","volume":"6","author":"W.L. Wendland","year":"1991","unstructured":"Wendland W.L. and Zhu J. (1991). The boundary element method for three-dimensional Stokes flows exterior to an open surface. Math. Comput. Modelling 6: 19\u201341","journal-title":"Math. Comput. Modelling"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-006-0058-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-006-0058-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-006-0058-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T12:22:39Z","timestamp":1558614159000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-006-0058-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,1,10]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,3,2]]}},"alternative-id":["58"],"URL":"https:\/\/doi.org\/10.1007\/s00211-006-0058-6","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,1,10]]}}}