Interpolation error bounds for curvilinear finite elements and their implications on adaptive mesh refinement

DOI10.1007/s10915-018-0795-6zbMath1417.65207OpenAlexW2885517245MaRDI QIDQ2420695

Shankar P. Sastry, David Moxey, Robert M. Kirby

Publication date: 6 June 2019

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

Full work available at URL: http://hdl.handle.net/10871/33543

zbMATH Keywords

interpolation errorcurved mesheshigh-order meshes

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

Provably stable flux reconstruction high-order methods on curvilinear elements ⋮ Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations ⋮ Deneb: an open-source high-performance multi-physical flow solver based on high-order DRM-DG method ⋮ Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes III. Code optimization via tensor contraction ⋮ Efficient algorithms for the line-SIAC filter ⋮ Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. II: Surface integration

Uses Software

• Nektar++

Cites Work

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