{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T15:24:31Z","timestamp":1649172271254},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2010,2,10]],"date-time":"2010-02-10T00:00:00Z","timestamp":1265760000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2010,5]]},"DOI":"10.1007\/s10915-010-9352-7","type":"journal-article","created":{"date-parts":[[2010,2,9]],"date-time":"2010-02-09T14:58:50Z","timestamp":1265727530000},"page":"183-200","source":"Crossref","is-referenced-by-count":5,"title":["A Posteriori Error Estimation for a Finite Volume Discretization on Anisotropic Meshes"],"prefix":"10.1007","volume":"43","author":[{"given":"M.","family":"Afif","sequence":"first","affiliation":[]},{"given":"B.","family":"Amaziane","sequence":"additional","affiliation":[]},{"given":"G.","family":"Kunert","sequence":"additional","affiliation":[]},{"given":"Z.","family":"Mghazli","sequence":"additional","affiliation":[]},{"given":"S.","family":"Nicaise","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,2,10]]},"reference":[{"key":"9352_CR1","doi-asserted-by":"crossref","first-page":"5265","DOI":"10.1016\/S0045-7825(02)00458-9","volume":"191","author":"M. Afif","year":"2002","unstructured":"Afif, M., Amaziane, B.: Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flow in porous media. Comput. Methods Appl. Mech. Eng. 191, 5265\u20135286 (2002)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9352_CR2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1023\/B:NUMA.0000005400.45852.f3","volume":"34","author":"M. Afif","year":"2003","unstructured":"Afif, M., Bergam, A., Mghazli, Z., Verf\u00fcrth, R.: A posteriori estimators for the finite volume discretization of an elliptic equation. Numer. Algorithms 34, 127\u2013136 (2003)","journal-title":"Numer. Algorithms"},{"key":"9352_CR3","doi-asserted-by":"crossref","DOI":"10.1002\/9781118032824","volume-title":"A Posteriori Error Estimation in Finite Element Analysis","author":"M. Ainsworth","year":"2000","unstructured":"Ainsworth, M., Oden, J.T.: A Posteriori Error Estimation in Finite Element Analysis. Wiley, Chichester (2000)"},{"key":"9352_CR4","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/BF02238485","volume":"55","author":"L. Angermann","year":"1995","unstructured":"Angermann, L.: Balanced a-posteriori error estimates for finite volume type discretizations of convection-dominated elliptic problems. Computing 55, 305\u2013323 (1995)","journal-title":"Computing"},{"key":"9352_CR5","series-title":"Advances in Numerical Mathematics","volume-title":"Anisotropic Finite Elements: Local Estimates and Applications","author":"Th. Apel","year":"1999","unstructured":"Apel, Th.: Anisotropic Finite Elements: Local Estimates and Applications, Advances in Numerical Mathematics. Teubner, Leipzig (1999)"},{"key":"9352_CR6","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1137\/0724050","volume":"24","author":"R.E. Bank","year":"1987","unstructured":"Bank, R.E., Rose, D.: Some error estimates for the box method. SIAM J. Numer. Anal. 24, 777\u2013787 (1987)","journal-title":"SIAM J. Numer. Anal."},{"key":"9352_CR7","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1016\/S0764-4442(00)01670-0","volume":"331","author":"A. Bergam","year":"2000","unstructured":"Bergam, A., Mghazli, Z.: Estimateurs a posteriori d\u2019un sch\u00e9ma de volumes finis pour un probl\u00e8me non lin\u00e9aire. C. R. Acad. Sci. 331, 475\u2013478 (2000)","journal-title":"C. R. Acad. Sci."},{"key":"9352_CR8","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1007\/s00211-003-0460-2","volume":"95","author":"A. Bergam","year":"2003","unstructured":"Bergam, A., Mghazli, Z., Verf\u00fcrth, R.: Estimations a posteriori d\u2019un sch\u00e9ma de volumes finis pour un probl\u00e8me non lin\u00e9aire. Numer. Math. 95, 599\u2013624 (2003)","journal-title":"Numer. Math."},{"key":"9352_CR9","series-title":"Advances in Numerical Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-663-10071-3","volume-title":"Finite-Volumen- und Mehrgitterverfahren f\u00fcr Elliptische Randwertprobleme","author":"J. Bey","year":"1998","unstructured":"Bey, J.: Finite-Volumen- und Mehrgitterverfahren f\u00fcr Elliptische Randwertprobleme. Advances in Numerical Mathematics. Teubner, Stuttgart (1998)"},{"key":"9352_CR10","volume-title":"The Finite Element Method for Elliptic Problems","author":"P.G. Ciarlet","year":"1978","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1978)"},{"key":"9352_CR11","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s007910100061","volume":"4","author":"L. Formaggia","year":"2001","unstructured":"Formaggia, L., Perotto, S., Zunino, P.: An anisotropic a-posteriori error estimate for a convection-diffusion problem. Comput. Vis. Sci. 4, 99\u2013104 (2001)","journal-title":"Comput. Vis. Sci."},{"issue":"1\u20133","key":"9352_CR12","first-page":"21","volume":"22","author":"R.S. Jonathan","year":"2002","unstructured":"Jonathan, R.S.: Delaunay refinement algorithms for triangular mesh generation. Comput. Geom., Theory Appl. 22(1\u20133), 21\u201374 (2002)","journal-title":"Comput. Geom., Theory Appl."},{"key":"9352_CR13","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1090\/S0025-5718-99-01158-8","volume":"69","author":"D. Kr\u00f6ner","year":"2000","unstructured":"Kr\u00f6ner, D., Ohlberger, M.: A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. Math. Comput. 69, 25\u201339 (2000)","journal-title":"Math. Comput."},{"key":"9352_CR14","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1007\/s002110000170","volume":"86","author":"G. Kunert","year":"2000","unstructured":"Kunert, G.: An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes. Numer. Math. 86, 471\u2013490 (2000)","journal-title":"Numer. Math."},{"key":"9352_CR15","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1137\/S003614299935615X","volume":"39","author":"G. Kunert","year":"2001","unstructured":"Kunert, G.: A local problem error estimator for anisotropic tetrahedral finite element meshes. SIAM J. Numer. Anal. 39, 668\u2013689 (2001)","journal-title":"SIAM J. Numer. Anal."},{"key":"9352_CR16","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1023\/A:1014248711347","volume":"15","author":"G. Kunert","year":"2001","unstructured":"Kunert, G.: Robust a posteriori error estimation for a singularly perturbed reaction\u2013diffusion equation on anisotropic tetrahedral meshes. Adv. Comput. Math. 15, 237\u2013259 (2001)","journal-title":"Adv. Comput. Math."},{"key":"9352_CR17","doi-asserted-by":"crossref","first-page":"1079","DOI":"10.1051\/m2an:2001149","volume":"35","author":"G. Kunert","year":"2001","unstructured":"Kunert, G.: Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes. Math. Model. Numer. Anal. 35, 1079\u20131109 (2001)","journal-title":"Math. Model. Numer. Anal."},{"key":"9352_CR18","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/s00607-002-1457-x","volume":"69","author":"G. Kunert","year":"2002","unstructured":"Kunert, G.: A note on the energy norm for a singularly perturbed model problem. Computing 69, 265\u2013272 (2002)","journal-title":"Computing"},{"key":"9352_CR19","doi-asserted-by":"crossref","first-page":"589","DOI":"10.1002\/mma.368","volume":"26","author":"G. Kunert","year":"2003","unstructured":"Kunert, G.: A posteriori error estimation for convection dominated problems on anisotropic meshes. Math. Methods Appl. Sci. 26, 589\u2013617 (2003)","journal-title":"Math. Methods Appl. Sci."},{"key":"9352_CR20","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1023\/A:1021247300362","volume":"6","author":"R. Lazarov","year":"2002","unstructured":"Lazarov, R., Tomov, S.: A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Comput. Geosci. 6, 483\u2013503 (2002)","journal-title":"Comput. Geosci."},{"key":"9352_CR21","first-page":"290","volume":"44","author":"J.A. Mackenzie","year":"1993","unstructured":"Mackenzie, J.A., Mayers, D.F., Mayfield, A.J.: Error estimates and mesh adaption for a cell vertex finite volume scheme. Notes Numer. Fluid Mech. 44, 290\u2013310 (1993)","journal-title":"Notes Numer. Fluid Mech."},{"key":"9352_CR22","doi-asserted-by":"crossref","DOI":"10.1142\/2933","volume-title":"Fitted Numerical Methods for Singularly Perturbed Problems. Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions","author":"J.J.H. Miller","year":"1996","unstructured":"Miller, J.J.H., O\u2019Riordan, E., Shishkin, G.I.: Fitted Numerical Methods for Singularly Perturbed Problems. Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions. World Scientific, Singapore (1996)"},{"key":"9352_CR23","volume-title":"Numerical Solution of Convection-Diffusion Problems","author":"K.W. Morton","year":"1996","unstructured":"Morton, K.W.: Numerical Solution of Convection-Diffusion Problems. Chapman & Hall, London (1996)"},{"key":"9352_CR24","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1007\/PL00005431","volume":"87","author":"M. Ohlberger","year":"2001","unstructured":"Ohlberger, M.: A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations. Numer. Math. 87, 737\u2013761 (2001)","journal-title":"Numer. Math."},{"key":"9352_CR25","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1051\/m2an:2001119","volume":"35","author":"M. Ohlberger","year":"2001","unstructured":"Ohlberger, M.: A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. Math. Model. Numer. Anal. 35, 355\u2013387 (2001)","journal-title":"Math. Model. Numer. Anal."},{"key":"9352_CR26","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/S0045-7825(99)00301-1","volume":"189","author":"A. Papastavrou","year":"2000","unstructured":"Papastavrou, A., Verf\u00fcrth, R.: A posteriori error estimators for stationary convection\u2013diffusion problems: a computational comparison. Comput. Methods Appl. Mech. Eng. 189, 449\u2013462 (2000)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9352_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03206-0","volume-title":"Numerical Methods for Singularly Perturbed Differential Equations. Convection-Diffusion and Flow Problems","author":"H.-G. Roos","year":"1996","unstructured":"Roos, H.-G., Stynes, M., Tobiska, L.: Numerical Methods for Singularly Perturbed Differential Equations. Convection-Diffusion and Flow Problems. Springer, Berlin (1996)"},{"key":"9352_CR28","volume-title":"A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques","author":"R. Verf\u00fcrth","year":"1996","unstructured":"Verf\u00fcrth, R.: A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley\/Teubner, Chichester\/Stuttgart (1996),"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-010-9352-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-010-9352-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-010-9352-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T08:41:33Z","timestamp":1559464893000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-010-9352-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2,10]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,5]]}},"alternative-id":["9352"],"URL":"https:\/\/doi.org\/10.1007\/s10915-010-9352-7","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2,10]]}}}