Adjoint-based, superconvergent Galerkin approximations of linear functionals

DOI10.1007/s10915-017-0507-7zbMath1382.35097OpenAlexW2740118919MaRDI QIDQ1691387

Bernardo Cockburn, Zhu Wang

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0507-7

zbMATH Keywords

Galerkin methodsapproximation of linear functionalsadjoint-based error correction

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic systems (35J47)

Related Items (7)

Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting) ⋮ An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations ⋮ An adjoint-based super-convergent Galerkin approximation of eigenvalues ⋮ Accurate high-order tensor-product generalized summation-by-parts discretizations of hyperbolic conservation laws: general curved domains and functional superconvergence ⋮ Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems ⋮ A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method ⋮ Superconvergent functional estimates from tensor-product generalized summation-by-parts discretizations in curvilinear coordinates

Cites Work

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• Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
• The Staggered DG Method is the Limit of a Hybridizable DG Method

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