Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations

DOI10.1016/j.camwa.2018.03.018zbMath1419.65129OpenAlexW2795512145WikidataQ130025887 ScholiaQ130025887MaRDI QIDQ2001293

Eun-Jae Park, Li-Na Zhao

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.018

zbMATH Keywords

constrained minimizationinf-sup constantfully computable upper boundstaggered DG method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problems ⋮ A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type ⋮ The Morley-type virtual element method for the Navier-Stokes equations in stream-function form ⋮ Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number ⋮ Staggered DG Method for Coupling of the Stokes and Darcy--Forchheimer Problems ⋮ A Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal Meshes ⋮ A staggered DG method of minimal dimension for the Stokes equations on general meshes ⋮ Unnamed Item ⋮ A new hybrid staggered discontinuous Galerkin method on general meshes

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