DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation

Journal of Scientific Computing

dc.creatorErvin, Vincent J
dc.creatorFuhrer, Thomas
dc.creatorHeuer, Norbert
dc.creatorKarkulik, Michael
dc.date2021-08-23T22:51:26Z
dc.date2022-07-08T20:29:12Z
dc.date2021-08-23T22:51:26Z
dc.date2022-07-08T20:29:12Z
dc.date2017
dc.date.accessioned2023-08-21T20:35:09Z
dc.date.available2023-08-21T20:35:09Z
dc.identifier1150056
dc.identifier1150056
dc.identifierhttps://hdl.handle.net/10533/250782
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8279092
dc.descriptionWe develop an ultra-weak variational formulation of a fractional advection diffusion problem in one space dimension and prove its well-posedness. Based on this formulation, we define a DPG approximation with optimal test functions and show its quasi-optimal convergence. Numerical experiments confirm expected convergence properties, for uniform and adaptively refined meshes. Keywords. Author Keywords:Fractional diffusion
dc.descriptionRiemann-Liouville fractional integral
dc.descriptionDPG method with optimal test functions
dc.descriptionUltra-weak formulation
dc.descriptionRegular 2015
dc.descriptionFONDECYT
dc.descriptionFONDECYT
dc.languageeng
dc.relationhandle/10533/111557
dc.relationhandle/10533/111541
dc.relationhandle/10533/108045
dc.relationhttps://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0718-95162017000100017&lng=es&nrm=iso&tlng=en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsinfo:eu-repo/semantics/article
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleDPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation
dc.titleJournal of Scientific Computing
dc.typeArticulo
dc.typeinfo:eu-repo/semantics/publishedVersion


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