The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces

We propose and analyze a minimal-residual method in discrete dual norms for approximating the solution of the advection-reaction equation in a weak Banach-space setting. The weak formulation allows for the direct approximation of solutions in the Lebesgue -space, . The greater generality of this wea...

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Bibliographic Details
Published in:	Journal of computational methods in applied mathematics Vol. 19; no. 3; pp. 557 - 579
Main Authors:	Muga, Ignacio, Tyler, Matthew J. W., van der Zee, Kristoffer G.
Format:	Journal Article
Language:	English
Published:	Minsk De Gruyter 01.07.2019 Walter de Gruyter GmbH
Subjects:	35J25 35L02 41A65 46B20 65J05 65N12 65N15 Advection Advection-Reaction Approximation Banach Spaces Compatible FE Pairs DDMRes Discrete Dual Norms Fortin Condition Norms Optimization Petrov–Galerkin Method Qualitative analysis Residual Minimization
ISSN:	1609-4840, 1609-9389
Online Access:	Get full text
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