Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows

DOI10.1016/j.cam.2014.03.007zbMath1329.76170OpenAlexW2021850407MaRDI QIDQ491573

Stefano Giani, Paul Houston

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.03.007

zbMATH Keywords

incompressible flowsadaptivitydiscontinuous Galerkin methodscomposite finite element methods\textit{a posteriori} error estimation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems, Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains, Error-driven adaptive mesh refinement for unsteady turbulent flows in spectral-element simulations, Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows, Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods, An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients, A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems, $HP$-Adaptive Celatus Enriched Discontinuous Galerkin Method for Second-Order Elliptic Source Problems

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