{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T12:39:24Z","timestamp":1773405564738,"version":"3.50.1"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2012,12,1]],"date-time":"2012-12-01T00:00:00Z","timestamp":1354320000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput. Visual Sci."],"published-print":{"date-parts":[[2012,12]]},"DOI":"10.1007\/s00791-014-0217-8","type":"journal-article","created":{"date-parts":[[2014,5,19]],"date-time":"2014-05-19T11:56:30Z","timestamp":1400500590000},"page":"319-329","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Preconditioning of wavelet BEM by the incomplete Cholesky factorization"],"prefix":"10.1007","volume":"15","author":[{"given":"Helmut","family":"Harbrecht","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,5,20]]},"reference":[{"key":"217_CR1","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1002\/cpa.3160440202","volume":"44","author":"G Beylkin","year":"1991","unstructured":"Beylkin, G., Coifman, R., Rokhlin, V.: The fast wavelet transform and numerical algorithms. Commun. Pure Appl. Math. 44, 141\u2013183 (1991)","journal-title":"Commun. Pure Appl. Math."},{"key":"217_CR2","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/s002110050342","volume":"79","author":"C Carstensen","year":"1998","unstructured":"Carstensen, C., Kuhn, M., Langer, U.: Fast parallel solvers for symmetric boundary element domain factorization methods. Numer. Math. 79, 321\u2013347 (1998)","journal-title":"Numer. Math."},{"key":"217_CR3","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1017\/S0962492900002713","volume":"6","author":"W Dahmen","year":"1997","unstructured":"Dahmen, W.: Wavelet and multiscale methods for operator equations. Acta Numer. 6, 55\u2013228 (1997)","journal-title":"Acta Numer."},{"key":"217_CR4","doi-asserted-by":"crossref","first-page":"2251","DOI":"10.1137\/S0036142903428852","volume":"43","author":"W Dahmen","year":"2006","unstructured":"Dahmen, W., Harbrecht, H., Schneider, R.: Compression techniques for boundary integral equations. Optimal complexity estimates. SIAM J. Numer. Anal. 43, 2251\u20132271 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"217_CR5","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF01385864","volume":"63","author":"W Dahmen","year":"1992","unstructured":"Dahmen, W., Kunoth, A.: Multilevel preconditioning. Numer. Math. 63, 315\u2013344 (1992)","journal-title":"Numer. Math."},{"key":"217_CR6","doi-asserted-by":"crossref","unstructured":"Dahmen, W., Pr\u00f6\u00dfdorf, S., Schneider, R.: Multiscale methods for pseudo-differential equations on smooth closed manifolds. In: Chui, C.K., Montefusco, L., Puccio, L. (eds.) Proceedings of the International Conference on Wavelets: Theory, Algorithms, and Applications, pp. 385\u2013424 (1994)","DOI":"10.1016\/B978-0-08-052084-1.50023-5"},{"key":"217_CR7","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/0021-9991(87)90140-9","volume":"73","author":"L Greengard","year":"1987","unstructured":"Greengard, L., Rokhlin, V.: A fast algorithm for particle simulation. J. Comput. Phys. 73, 325\u2013348 (1987)","journal-title":"J. Comput. Phys."},{"key":"217_CR8","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s006070050015","volume":"64","author":"W Hackbusch","year":"1999","unstructured":"Hackbusch, W.: A sparse matrix arithmetic based on $$\\cal {H}$$ H -matrices. Part I: Introduction to $$\\cal {H}$$ H -matrices. Computing 64, 89\u2013108 (1999)","journal-title":"Computing"},{"key":"217_CR9","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1007\/BF01396324","volume":"54","author":"W Hackbusch","year":"1989","unstructured":"Hackbusch, W., Nowak, Z.P.: On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math. 54, 463\u2013491 (1989)","journal-title":"Numer. Math."},{"issue":"426","key":"217_CR10","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1080\/01621459.1994.10476754","volume":"89","author":"MS Handcock","year":"1994","unstructured":"Handcock, M.S., Wallis, J.R.: An approach to statistical spatial-temporal modeling of meteorological fields. J. Am. Stat. Assoc. 89(426), 368\u2013390 (1994)","journal-title":"J. Am. Stat. Assoc."},{"key":"217_CR11","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s00607-008-0260-8","volume":"82","author":"H Harbrecht","year":"2008","unstructured":"Harbrecht, H.: A Newton method for Bernoulli\u2019s free boundary problem in three dimensions. Computing 82, 11\u201330 (2008)","journal-title":"Computing"},{"issue":"4","key":"217_CR12","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/j.apnum.2011.10.001","volume":"62","author":"H Harbrecht","year":"2012","unstructured":"Harbrecht, H., Peters, M., Schneider, R.: On the low-rank approximation by the pivoted Cholesky decomposition. Appl. Numer. Math. 62(4), 428\u2013440 (2012)","journal-title":"Appl. Numer. Math."},{"issue":"2","key":"217_CR13","doi-asserted-by":"crossref","first-page":"353","DOI":"10.3934\/ipi.2009.3.353","volume":"3","author":"H Harbrecht","year":"2009","unstructured":"Harbrecht, H., Hohage, T.: A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Inverse Probl. Imaging 3(2), 353\u2013371 (2009)","journal-title":"Inverse Probl. Imaging"},{"issue":"1","key":"217_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00607-009-0050-y","volume":"86","author":"H Harbrecht","year":"2009","unstructured":"Harbrecht, H., Randrianarivony, M.: Wavelet BEM on molecular surfaces. Parametrization and implementation. Computing 86(1), 1\u201322 (2009)","journal-title":"Computing"},{"issue":"2","key":"217_CR15","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s00791-009-0129-1","volume":"13","author":"H Harbrecht","year":"2010","unstructured":"Harbrecht, H., Randrianarivony, M.: From computer aided design to wavelet BEM. Comput. Vis. Sci. 13(2), 69\u201382 (2010)","journal-title":"Comput. Vis. Sci."},{"issue":"4","key":"217_CR16","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/s00607-011-0147-y","volume":"92","author":"H Harbrecht","year":"2011","unstructured":"Harbrecht, H., Randrianarivony, M.: Wavelet BEM on molecular surfaces. Solvent excluded surfaces. Computing 92(4), 335\u2013364 (2011)","journal-title":"Computing"},{"key":"217_CR17","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1002\/nla.284","volume":"10","author":"H Harbrecht","year":"2003","unstructured":"Harbrecht, H., Paiva, F., P\u00e9rez, C., Schneider, R.: Wavelet preconditioning for the coupling of FEM-BEM. Numer. Linear Algebra Appl. 10, 197\u2013222 (2003)","journal-title":"Numer. Linear Algebra Appl."},{"key":"217_CR18","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1002\/mana.200310171","volume":"269\u2013270","author":"H Harbrecht","year":"2004","unstructured":"Harbrecht, H., Schneider, R.: Biorthogonal wavelet bases for the boundary element method. Math. Nachr. 269\u2013270, 167\u2013188 (2004)","journal-title":"Math. Nachr."},{"issue":"4","key":"217_CR19","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.1137\/S1064827503429387","volume":"27","author":"H Harbrecht","year":"2006","unstructured":"Harbrecht, H., Schneider, R.: Wavelet Galerkin schemes for boundary integral equations. Implementation and quadrature. SIAM J. Sci. Comput. 27(4), 1347\u20131370 (2006)","journal-title":"SIAM J. Sci. Comput."},{"issue":"256","key":"217_CR20","doi-asserted-by":"crossref","first-page":"1871","DOI":"10.1090\/S0025-5718-06-01867-9","volume":"75","author":"H Harbrecht","year":"2006","unstructured":"Harbrecht, H., Stevenson, R.: Wavelets with patchwise cancellation properties. Math. Comput. 75(256), 1871\u20131889 (2006)","journal-title":"Math. Comput."},{"key":"217_CR21","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1002\/(SICI)1099-1506(199909)6:6<435::AID-NLA174>3.0.CO;2-U","volume":"6","author":"N Heuer","year":"1999","unstructured":"Heuer, N., Maischak, M., Stephan, E.: Preconditioned minimum residual iteration for the h-p-version of the coupled FEM\/BEM with quasi-uniform meshes. Linear Algebra Appl. 6, 435\u2013456 (1999)","journal-title":"Linear Algebra Appl."},{"key":"217_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-322-99494-3","volume-title":"Grundlagen der geometrischen Datenverarbeitung","author":"J Hoschek","year":"1989","unstructured":"Hoschek, J., Lasser, D.: Grundlagen der geometrischen Datenverarbeitung. Teubner, Stuttgart (1989)"},{"key":"217_CR23","doi-asserted-by":"crossref","first-page":"965","DOI":"10.1137\/0729059","volume":"29","author":"S Jaffard","year":"1992","unstructured":"Jaffard, S.: Wavelet methods for fast resolution of elliptic equations. SIAM J. Numer. Anal. 29, 965\u2013986 (1992)","journal-title":"SIAM J. Numer. Anal."},{"key":"217_CR24","doi-asserted-by":"crossref","unstructured":"Mat\u00e9rn, B.: Spatial Variation, vol. 36, 2nd edn. Lecture Notes in Statistics, Springer, Berlin (1986)","DOI":"10.1007\/978-1-4615-7892-5"},{"key":"217_CR25","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/0301-0104(81)85090-2","volume":"55","author":"S Miertu\u0161","year":"1981","unstructured":"Miertu\u0161, S., Scrocco, E., Tomasi, J.: Electrostatic interaction of a solute with a continuum. A direct utilization of ab initio molecular potentials for the prevision of solvent effects. Chem. Phys. 55, 117\u2013129 (1981)","journal-title":"Chem. Phys."},{"key":"217_CR26","unstructured":"Lage, C., Schwab, C.: A wavelet-Galerkin boundary element method on polyhedral surfaces in $${ R}^3$$ R 3 . In: Numerical Treatment of Multi-scale Problems (Kiel, 1997), vol. 70, pp. 104\u2013118. Notes Numerical Fluid Mechanics, Vieweg, Braunschweig (1999)"},{"key":"217_CR27","unstructured":"von Petersdorff, T., Schwab, C.: Wavelet approximation for first kind integral equations on polygons. Numer. Math. 74, 479\u2013519 (1996)"},{"key":"217_CR28","unstructured":"von Petersdorff, T., Schwab, C.: Sparse wavelet methods for operator equations with stochastic data. Appl. Math. 51(2), 145\u2013180 (2006)"},{"key":"217_CR29","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-68093-2_4","volume-title":"Boundary Element Methods","author":"S Sauter","year":"2010","unstructured":"Sauter, S., Schwab, C.: Boundary Element Methods. Springer, Berlin (2010)"},{"key":"217_CR30","doi-asserted-by":"crossref","unstructured":"Schmidlin, G., Schwab, C.: Wavelet Galerkin BEM on unstructured meshes by aggregation. In: Multiscale and Multiresolution Methods, vol. 20, pp. 359\u2013378. Lecture Notes in Computer Science Engineering, Springer, Berlin (2002)","DOI":"10.1007\/978-3-642-56205-1_12"},{"key":"217_CR31","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.jcp.2006.01.048","volume":"217","author":"C Schwab","year":"2006","unstructured":"Schwab, C., Todor, R.: Karhunen\u2013Lo\u00e9ve approximation of random fields by generalized fast multipole methods. J. Comput. Phys. 217, 100\u2013122 (2006)","journal-title":"J. Comput. Phys."},{"key":"217_CR32","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-663-10851-1","volume-title":"Multiskalen- und Wavelet-Matrixkompression: Analysisbasierte Methoden zur L\u00f6sung gro\u00dfer vollbesetzter Gleichungssysteme","author":"R Schneider","year":"1998","unstructured":"Schneider, R.: Multiskalen- und Wavelet-Matrixkompression: Analysisbasierte Methoden zur L\u00f6sung gro\u00dfer vollbesetzter Gleichungssysteme. Teubner, Stuttgart (1998)"},{"key":"217_CR33","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)"}],"container-title":["Computing and Visualization in Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00791-014-0217-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00791-014-0217-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00791-014-0217-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,10]],"date-time":"2019-08-10T15:52:50Z","timestamp":1565452370000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00791-014-0217-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":33,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2012,12]]}},"alternative-id":["217"],"URL":"https:\/\/doi.org\/10.1007\/s00791-014-0217-8","relation":{},"ISSN":["1432-9360","1433-0369"],"issn-type":[{"value":"1432-9360","type":"print"},{"value":"1433-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12]]}}}