Fast barycentric-based evaluation over spectral/\textit{hp} elements

DOI10.1007/s10915-021-01750-2OpenAlexW3133523608MaRDI QIDQ2067316

David Moxey, Edward Laughton, Vidhi Zala, Robert M. Kirby, Akil C. Narayan

Publication date: 18 January 2022

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

Full work available at URL: https://arxiv.org/abs/2103.03594

zbMATH Keywords

barycentric interpolationhigh-order finite elementspoint evaluationspectral/\textit{hp} elements

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Uses Software

• Nektar++

Cites Work

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• High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
• Nektar++: an open-source spectral/\(hp\) element framework
• Equation-free/Galerkin-free POD-assisted computation of incompressible flows
• A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods
• Efficient algorithms for the line-SIAC filter
• \textit{Nektar}++: enhancing the capability and application of high-fidelity spectral/\(hp\) element methods
• High-Order Methods for Incompressible Fluid Flow
• An Introduction to Trajectory Optimization: How to Do Your Own Direct Collocation
• Barycentric Lagrange Interpolation
• Efficient Matrix-Free High-Order Finite Element Evaluation for Simplicial Elements
• Spectral/hp Element Methods for Computational Fluid Dynamics

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