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LIBRIS Formathandbok  (Information om MARC21)
FältnamnIndikatorerMetadata
00002414naa a2200337 4500
001oai:lup.lub.lu.se:c0aed93e-6b34-4b40-9f29-87b90e56909a
003SwePub
008160401s2008 | |||||||||||000 ||eng|
024a https://lup.lub.lu.se/record/9369622 URI
024a https://doi.org/10.1137/0706809532 DOI
040 a (SwePub)lu
041 a engb eng
042 9 SwePub
072 7a art2 swepub-publicationtype
072 7a ref2 swepub-contenttype
100a Hansen, Eskilu Lund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Partiella differentialekvationer,Numerical Analysis,Lund University Research Groups,Partial differential equations,University of Innsbruck4 aut0 (Swepub:lu)na-eha
2451 0a Finite element Runge-Kutta discretizations of porous medium type equations
264 1b Society for Industrial & Applied Mathematics (SIAM),c 2008
520 a In this paper we analyze the convergence properties of full discretizations of a class of generalized porous medium equations. For the spatial and time discretizations, we use continuous piecewise linear finite elements and algebraically stable Runge-Kutta methods, respectively. We prove our convergence result without any assumption on the spatial regularity. It is shown that, under a certain stability assumption, the temporal order of convergence is given by the stage order of the method, whereas the spatial order is essentially one. Numerical experiments illustrate our stability assumption and the convergence result.
650 7a TEKNIK OCH TEKNOLOGIERx Elektroteknik och elektronik0 (SwePub)2022 hsv//swe
650 7a ENGINEERING AND TECHNOLOGYx Electrical Engineering, Electronic Engineering, Information Engineering0 (SwePub)2022 hsv//eng
653 a Runge-Kutta time discretization
653 a high order convergence in time
653 a degenerate parabolic problems
653 a porous medium equation
700a Ostermann, Alexanderu University of Innsbruck4 aut
710a Numerisk analysb Forskargrupper vid Lunds universitet4 org
773t SIAM Journal on Numerical Analysisd : Society for Industrial & Applied Mathematics (SIAM)g 46:4, s. 1769-1779q 46:4<1769-1779x 0036-1429x 1095-7170
856u http://dx.doi.org/10.1137/070680953x freey FULLTEXT
8564 8u https://lup.lub.lu.se/record/936962
8564 8u https://doi.org/10.1137/070680953

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