{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,23]],"date-time":"2025-07-23T12:09:04Z","timestamp":1753272544031},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2005,6,10]],"date-time":"2005-06-10T00:00:00Z","timestamp":1118361600000},"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":[[2005,8]]},"DOI":"10.1007\/s00211-005-0606-5","type":"journal-article","created":{"date-parts":[[2005,6,9]],"date-time":"2005-06-09T10:20:48Z","timestamp":1118312448000},"page":"355-379","source":"Crossref","is-referenced-by-count":5,"title":["The uniform saturation property for a singularly perturbed reaction-diffusion equation"],"prefix":"10.1007","volume":"101","author":[{"given":"Rob P.","family":"Stevenson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,6,10]]},"reference":[{"key":"606_CR1","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1137\/S003614299732187X","volume":"36","author":"Ainsworth","year":"2","unstructured":"Ainsworth, M., Babu\u0161ka, I.: Reliable and robust a posteriori error estimation for singularly perturbed reaction-diffusion problems. SIAM J. Numer. Anal. 36(2), 331\u2013353 (1999)","journal-title":"SIAM J. Numer. Anal."},{"key":"606_CR2","doi-asserted-by":"crossref","unstructured":"Ainsworth, M., Oden, J.T.: A posteriori error estimation in finite element analysis. Pure and Applied Mathematics. Wiley-Interscience, New York, 2000","DOI":"10.1002\/9781118032824"},{"key":"606_CR3","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s00211-003-0492-7","volume":"97","author":"Binev","year":"2","unstructured":"Binev, P., Dahmen, W., DeVore, R.: Adaptive finite element methods with convergence rates. Numer. Math. 97(2), 219\u2013268 (2004)","journal-title":"Numer. Math."},{"key":"606_CR4","first-page":"1001","volume":"28","author":"Binev","year":"2002","unstructured":"Binev, P., Dahmen, W., DeVore, R., Petruchev, P.: Approximation classes for adaptive methods. Serdica Math. J. 28, 1001\u20131026 (2002)","journal-title":"Serdica Math. J."},{"key":"606_CR5","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s00211-003-0493-6","volume":"97","author":"Binev","year":"2","unstructured":"Binev, P., DeVore, R.: Fast computation in adaptive tree approximation. Numer. Math. 97(2), 193\u2013217 (2004)","journal-title":"Numer. Math."},{"key":"606_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0899-8248(92)90015-Z","volume":"4","author":"Bornemann","year":"1992","unstructured":"Bornemann, F.A.: An adaptive multilevel approach to parabolic equations III, 2D error estimates and multilevel preconditioning. IMPACT Comput. Sci. Eng. 4, 1\u201345 (1992)","journal-title":"IMPACT Comput. Sci. Eng."},{"key":"606_CR7","unstructured":"Cohen, A., Echeverry, L.M., Sun, Q.: Finite element wavelets. Technical report, Laboratoire d\u2019Analyse Num\u00e9rique, Universit\u00e9 Pierre et Marie Curie, 2000"},{"key":"606_CR8","doi-asserted-by":"crossref","first-page":"1106","DOI":"10.1137\/0733054","volume":"33","author":"D\u00f6rfler","year":"1996","unstructured":"D\u00f6rfler, W.: A convergent adaptive algorithm for Poisson\u2019s equation. SIAM J. Numer. Anal. 33, 1106\u20131124 (1996)","journal-title":"SIAM J. Numer. Anal."},{"key":"606_CR9","unstructured":"Grisvard, P.: Elliptic Problems in Nonsmooth Domains. Pitman, Boston, 1985"},{"key":"606_CR10","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1023\/A:1014248711347","volume":"15","author":"Kunert","year":"2001","unstructured":"Kunert, G.: Robust a posteriori error estimation for a singularly perturbed reaction-diffusion equation on anisotropic tetrahedral meshes. Adv. Comput. Math. 15, 237\u2013259 (2001)","journal-title":"Adv. Comput. Math."},{"key":"606_CR11","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1137\/S0036142999360044","volume":"38","author":"Morin","year":"2","unstructured":"Morin, P., Nochetto, R., Siebert, K.: Data oscillation and convergence of adaptive FEM. SIAM J. Numer. Anal. 38(2), 466\u2013488 (2000)","journal-title":"SIAM J. Numer. Anal."},{"key":"606_CR12","doi-asserted-by":"crossref","unstructured":"Oswald, P.: Multilevel finite element approximation: Theory and applications. B.G. Teubner, Stuttgart, 1994","DOI":"10.1007\/978-3-322-91215-2"},{"key":"606_CR13","unstructured":"Stevenson, R.P.: An optimal adaptive finite element method. Technical Report 1271, University of Utrecht, March 2003. To appear in SIAM J. Numer. Anal."},{"key":"606_CR14","unstructured":"Verf\u00fcrth, R.: A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley-Teubner, Chichester, 1996"},{"key":"606_CR15","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s002110050322","volume":"78","author":"Verf\u00fcrth","year":"1998","unstructured":"Verf\u00fcrth, R.: Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation. Numer. Math. 78, 479\u2013493 (1998)","journal-title":"Numer. Math."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0606-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-005-0606-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0606-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T12:22:36Z","timestamp":1558614156000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-005-0606-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,6,10]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2005,8]]}},"alternative-id":["606"],"URL":"https:\/\/doi.org\/10.1007\/s00211-005-0606-5","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,6,10]]}}}