Sökning: id:"swepub:oai:lup.lub.lu.se:c0aed93e-6b34-4b40-9f29-87b90e56909a" > Finite element Rung...
Fältnamn | Indikatorer | Metadata |
---|---|---|
000 | 02414naa a2200337 4500 | |
001 | oai:lup.lub.lu.se:c0aed93e-6b34-4b40-9f29-87b90e56909a | |
003 | SwePub | |
008 | 160401s2008 | |||||||||||000 ||eng| | |
024 | 7 | a https://lup.lub.lu.se/record/9369622 URI |
024 | 7 | a https://doi.org/10.1137/0706809532 DOI |
040 | a (SwePub)lu | |
041 | a engb eng | |
042 | 9 SwePub | |
072 | 7 | a art2 swepub-publicationtype |
072 | 7 | a ref2 swepub-contenttype |
100 | 1 | a 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 |
245 | 1 0 | a Finite element Runge-Kutta discretizations of porous medium type equations |
264 | 1 | b 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 | 7 | a TEKNIK OCH TEKNOLOGIERx Elektroteknik och elektronik0 (SwePub)2022 hsv//swe |
650 | 7 | a 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 | |
700 | 1 | a Ostermann, Alexanderu University of Innsbruck4 aut |
710 | 2 | a Numerisk analysb Forskargrupper vid Lunds universitet4 org |
773 | 0 | t 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 |
856 | 4 | u http://dx.doi.org/10.1137/070680953x freey FULLTEXT |
856 | 4 8 | u https://lup.lub.lu.se/record/936962 |
856 | 4 8 | u https://doi.org/10.1137/070680953 |
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