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dc.contributor.authorJou, Jen_US
dc.contributor.authorLiu, JLen_US
dc.date.accessioned2014-12-08T15:47:12Z-
dc.date.available2014-12-08T15:47:12Z-
dc.date.issued1999-01-01en_US
dc.identifier.issn0163-0563en_US
dc.identifier.urihttp://hdl.handle.net/11536/31662-
dc.description.abstractBased on the solution of local weak residual problems, conforming and nonconforming error estimators are presented and analyzed for finite element solutions of symmetric positive differential equations in the sense of Friedrichs. These estimators are devised to treat the Friedrichs system in a general setting in terms of application (hyperbolic as well as mixed-type problems), approximation (h-, p and hp-version finite element methods), implementation (no local boundary conditions and no flux jumps across element boundaries) and a posteriori error analysis (very moderate conditions on the system and on the approximation). Three model problems of the Friedrichs system, namely, the neutron transport equation, the forward-backward heat equation and the Tricomi problem are used to illustrate the applicability of the weak residual error estimation.en_US
dc.language.isoen_USen_US
dc.titleA posteriori finite element error analysis for symmetric positive differential equationsen_US
dc.typeArticleen_US
dc.identifier.journalNUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATIONen_US
dc.citation.volume20en_US
dc.citation.issue5-6en_US
dc.citation.spage473en_US
dc.citation.epage490en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
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