An \(hp\)-hybrid high-order method for variable diffusion on general meshes

DOI10.1515/cmam-2017-0009zbMath1380.65244OpenAlexW2510573815MaRDI QIDQ1692713

Berardo Ruffini, Daniele A. Di Pietro, Joubine Aghili

Publication date: 10 January 2018

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

Full work available at URL: https://doi.org/10.1515/cmam-2017-0009

zbMATH Keywords

convergencehybrid high-order methods\(hp\)-error analysisvariable diffusiondiscontinuous skeletal methodspolytopal methods

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions ⋮ Design and analysis of the extended hybrid high-order method for the Poisson problem ⋮ Conditioning of a hybrid high-order scheme on meshes with small faces ⋮ One hundred years of the Galerkin method ⋮ High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations ⋮ General polytopal H(div)-conformal finite elements and their discretisation spaces ⋮ An H-Multigrid Method for Hybrid High-Order Discretizations ⋮ A virtual element method for the wave equation on curved edges in two dimensions

Uses Software

• PolyMesher

Cites Work

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