{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T06:40:59Z","timestamp":1774593659340,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":10,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540006084","type":"print"},{"value":"9783540364870","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003]]},"DOI":"10.1007\/3-540-36487-0_19","type":"book-chapter","created":{"date-parts":[[2007,11,14]],"date-time":"2007-11-14T00:45:04Z","timestamp":1195001104000},"page":"174-181","source":"Crossref","is-referenced-by-count":2,"title":["On a Multigrid Adaptive Refinement Solver for Saturated Non-Newtonian Flow in Porous Media"],"prefix":"10.1007","author":[{"given":"Willy","family":"D\u00f6rfler","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oleg","family":"Iliev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dimitar","family":"Stoyanov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniela","family":"Vassileva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2003,1,30]]},"reference":[{"key":"19_CR1","volume-title":"Flow Phenomena in Porous Media","author":"R. Greenkorn","year":"1983","unstructured":"Greenkorn, R.: Flow Phenomena in Porous Media. Marcel Dekker, Inc., New York and Basel (1983)"},{"key":"19_CR2","doi-asserted-by":"publisher","first-page":"437","DOI":"10.2307\/2008390","volume":"56","author":"R. Ewing","year":"1991","unstructured":"Ewing, R., Lazarov, R., Vassilevski, P: Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis. Mathematics of Computations, 56 (1991) 437\u2013461","journal-title":"Mathematics of Computations"},{"key":"19_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02427-0","volume-title":"Multi-Grid Methods and Applications","author":"W. Hackbusch","year":"1985","unstructured":"Hackbusch, W.: Multi-Grid Methods and Applications. Springer-Verlag, Berlin Heidelberg New York Tokyo (1985)"},{"key":"19_CR4","volume-title":"An Introduction to Multigrid Methods","author":"P. Wesseling","year":"1991","unstructured":"Wesseling, P.: An Introduction to Multigrid Methods. New York, Wiley (1991)"},{"key":"19_CR5","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971026","volume-title":"Multilevel Adaptive Methods for Partial Differential Equations","author":"S.F. McCormick","year":"1989","unstructured":"McCormick, S.F.: Multilevel Adaptive Methods for Partial Differential Equations. SIAM, Philadelphia (1989)"},{"key":"19_CR6","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1002\/nla.1680010403","volume":"1","author":"R. Ewing","year":"1994","unstructured":"Ewing, R., Lazarov, R., Vassilevski, P: Local refinement techniques for elliptic problems on cell-centered grids, II: Optimal order two-grid iterative methods. Numer. Linear Algebra Appl., 1 (1994) 337\u2013368","journal-title":"Numer. Linear Algebra Appl."},{"key":"19_CR7","first-page":"95","volume":"13","author":"O. Iliev","year":"2001","unstructured":"Iliev, O., Stoyanov, D.: On a multigrid, local refinement solver for incompressible Navier-Stokes equations. Mathematical Modelling, 13 (2001) 95\u2013106","journal-title":"Mathematical Modelling"},{"key":"19_CR8","doi-asserted-by":"crossref","unstructured":"Iliev, O., Stoyanov, D.: Multigrid-adaptive local refinement solver for incompressible flows. Large-Scale Scientific Computing, eds. Margenov S. et al., Lect. Notes Comp. Sci., 2179 (2001) 361\u2013368","DOI":"10.1007\/3-540-45346-6_38"},{"key":"19_CR9","doi-asserted-by":"publisher","first-page":"1106","DOI":"10.1137\/0733054","volume":"33","author":"W. D\u00f6rfler","year":"1996","unstructured":"D\u00f6rfler, W.: A convergent adaptive algorithm for Poisson equation. SIAM J. Numer. Anal., 33 (1996) 1106\u20131124","journal-title":"SIAM J. Numer. Anal."},{"key":"19_CR10","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1002\/1521-4001(200007)80:7<481::AID-ZAMM481>3.0.CO;2-5","volume":"80","author":"W. D\u00f6rfler","year":"2000","unstructured":"D\u00f6rfler, W., Wilderotter, O: An adaptive algorithm finite element method for a linear Elliptic Equation with Variable Coefficients. Z. Angev. Math. Mech., 80 (2000) 481\u2013491","journal-title":"Z. Angev. Math. Mech."}],"container-title":["Lecture Notes in Computer Science","Numerical Methods and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-36487-0_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,25]],"date-time":"2019-02-25T09:51:02Z","timestamp":1551088262000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-36487-0_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003]]},"ISBN":["9783540006084","9783540364870"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/3-540-36487-0_19","relation":{},"ISSN":["0302-9743"],"issn-type":[{"value":"0302-9743","type":"print"}],"subject":[],"published":{"date-parts":[[2003]]}}}