{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T12:48:51Z","timestamp":1747054131711,"version":"3.37.3"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T00:00:00Z","timestamp":1684108800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T00:00:00Z","timestamp":1684108800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1007\/s10444-023-10039-x","type":"journal-article","created":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T16:04:37Z","timestamp":1684166677000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM"],"prefix":"10.1007","volume":"49","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1182-6708","authenticated-orcid":false,"given":"Lionel Ouya","family":"Ndjansi","sequence":"first","affiliation":[]},{"given":"Laurent","family":"Tchoualag","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,15]]},"reference":[{"key":"10039_CR1","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/0024-3795(88)90225-X","volume":"103","author":"CY Chao","year":"1988","unstructured":"Chao, C.Y.: A remark on symmetric circulant matrices. Lin. Alg. Appl. 103, 133\u2013148 (1988)","journal-title":"Lin. Alg. Appl."},{"key":"10039_CR2","doi-asserted-by":"publisher","first-page":"668","DOI":"10.1137\/0724044","volume":"24","author":"MK Chen","year":"1987","unstructured":"Chen, M.K.: On the solution of circulant linear systems. SIAM J. Numer. Anal. 24, 668\u2013683 (1987)","journal-title":"SIAM J. Numer. Anal."},{"key":"10039_CR3","unstructured":"Davis, P.J.: Circulant Matrices. Wiley, New York, 1(979)"},{"key":"10039_CR4","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/S0378-4754(99)00060-9","volume":"50","author":"C Eck","year":"1999","unstructured":"Eck, C., Steinbach, O., Wendland, W.L.: A symmetric boundary element method for contact problems with friction. Math. Comp. Sim. 50, 43\u201361 (1999)","journal-title":"Math. Comp. Sim."},{"key":"10039_CR5","unstructured":"Hackbusch, W., B\u00f6rn, S.: $$\\cal{H}^2$$-Matrix Approximation of Integral Operators by interpolation. Max-Plank-Institut Mathematik in den NaturwissenSchaften. D-04103, 22\u201326 (2004)"},{"key":"10039_CR6","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1137\/1021093","volume":"21","author":"P Henrici","year":"1979","unstructured":"Henrici, P.: Fast Fourier methods in computational complex analysis. SIAM. 21, 481\u2013527 (1979)","journal-title":"SIAM."},{"key":"10039_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-71127-6","volume-title":"Boundary Integral Equations, AMS, 164","author":"GC Hsiao","year":"2021","unstructured":"Hsiao, G.C., Wendland, W.L.: Boundary Integral Equations, AMS, 164. Springer Nature, Switzerland AG (2021)"},{"key":"10039_CR8","unstructured":"Kielhorn, L.: A Time-Domain Symmetric Galerkin BEM for viscoelastodynamics. PhD thesis, Verlag der Technischen Universit\u00e4t, TU Graz, (2009)"},{"key":"10039_CR9","doi-asserted-by":"publisher","first-page":"1724","DOI":"10.1002\/nme.2381","volume":"76","author":"L Kielhorn","year":"2008","unstructured":"Kielhorn, L., Schanz, M.: Convolution quadrature method-based symmetric Galerkin boundary element method for 3-D elastodynamics. Int. J. Num. Meth. Eng. 76, 1724\u20131746 (2008)","journal-title":"Int. J. Num. Meth. Eng."},{"key":"10039_CR10","first-page":"536","volume":"40","author":"CJ Lin","year":"2000","unstructured":"Lin, C.J., Saigal, R.: An incomplete Cholesky factorization for dense symmetric positive definite matrices. Math. Meth. Appl. Sci. 40, 536\u2013558 (2000)","journal-title":"Math. Meth. Appl. Sci."},{"key":"10039_CR11","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1002\/mma.1670130105","volume":"13","author":"A Meyer","year":"1990","unstructured":"Meyer, A., Rjasanow, S.: An effective direct solution method for certain boundary element equations in 3D. Math. Meth. Appl. Sci. 13, 43\u201353 (1990)","journal-title":"Math. Meth. Appl. Sci."},{"issue":"4","key":"10039_CR12","doi-asserted-by":"publisher","first-page":"562","DOI":"10.1007\/BF01694054","volume":"5","author":"JC N\u00e9d\u00e9lec","year":"1982","unstructured":"N\u00e9d\u00e9lec, J.C.: Integral equations with nonintegrable kernels. Integral Equations Operator Theory. 5(4), 562\u2013572 (1982)","journal-title":"Integral Equations Operator Theory."},{"key":"10039_CR13","first-page":"163","volume":"12","author":"G Of","year":"2003","unstructured":"Of, G., Steinbach, O.: A fast multipole boundary Element method for a modified hypersingular boundary integral equation. Springer. 12, 163\u2013169 (2003)","journal-title":"Springer."},{"key":"10039_CR14","volume-title":"Vorkonditionierte iterative Aufl\u00f6sung von Randelementgleichungen f\u00fcr die Dirichlet-Aufgabe","author":"S Rjasanow","year":"1990","unstructured":"Rjasanow, S.: Vorkonditionierte iterative Aufl\u00f6sung von Randelementgleichungen f\u00fcr die Dirichlet-Aufgabe. WS TU, Chemnitz (1990)"},{"key":"10039_CR15","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/0024-3795(94)90184-8","volume":"202","author":"S Rjasanow","year":"1994","unstructured":"Rjasanow, S.: Effective Algorithms with Circulant-Block Matrices. Lin. Alg. Appl. 202, 55\u201369 (1994)","journal-title":"Lin. Alg. Appl."},{"key":"10039_CR16","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1002\/mma.1670180803","volume":"18","author":"S Rjasanow","year":"1995","unstructured":"Rjasanow, S.: Optimal Preconditioner for Boundary Element Formulation of the Dirichlet Problem in Elasticity: Math. Meth. in the Appl. Sci. 18, 603\u2013613 (1995)","journal-title":"Meth. in the Appl. Sci."},{"key":"10039_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-68805-3","volume-title":"Numerical Approximation Methods for Elliptic Boundary Value Problems","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":"10039_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.apnum.2014.02.010","volume":"81","author":"O Steinbach","year":"2014","unstructured":"Steinbach, O., Tchoualag, L.: Fast Fourier transform for efficient evaluation of Newton potential in BEM. Appl. Num. Math. 81, 1\u201314 (2014)","journal-title":"Appl. Num. Math."},{"key":"10039_CR19","unstructured":"Tchoualag, L: Combined Generalized Newton Approach with Boundary Element Method for Contact Problems. PhD thesis, TU Graz, (2011)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-023-10039-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10444-023-10039-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-023-10039-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,26]],"date-time":"2023-06-26T09:12:33Z","timestamp":1687770753000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10444-023-10039-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,15]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["10039"],"URL":"https:\/\/doi.org\/10.1007\/s10444-023-10039-x","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2023,5,15]]},"assertion":[{"value":"3 November 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 March 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"31"}}