A continuous \(hp\)-mesh model for adaptive discontinuous Galerkin schemes

DOI10.1016/j.apnum.2017.09.015zbMath1377.65162OpenAlexW2762489397MaRDI QIDQ1680305

Georg May, Vít Dolejší, Ajay Mandyam Rangarajan

Publication date: 15 November 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.09.015

zbMATH Keywords

\(hp\)-methodsanisotropic mesh adaptationinterpolation error estimatescontinuous mesh and error modelsdiscontinuous piecewise polynomial approximation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for nonlinear higher-order PDEs (35G30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (11)

A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations ⋮ A continuous \textit{hp}-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions ⋮ An anisotropic \textit{hp}-mesh adaptation method for time-dependent problems based on interpolation error control ⋮ A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems ⋮ A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications ⋮ On stable Runge-Kutta methods for solving hyperbolic equations by the discontinuous Galerkin method ⋮ Unstructured \(h\)- and \textit{hp}-adaptive strategies for discontinuous Galerkin methods based on \textit{a posteriori} error estimation for compressible flows ⋮ An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model ⋮ Adjoint-based anisotropic \(hp\)-adaptation for discontinuous Galerkin methods using a continuous mesh model ⋮ Anisotropic mesh generation and adaptation for quads using the \(L_p\)-CVT method

Uses Software

• ANGENER
• BL2D-V2
• bamg

Cites Work

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