High-Order Polynomial Recovery in Finite Element Advection Schemes

DOI10.1007/978-981-16-9665-7_4OpenAlexW4285125939MaRDI QIDQ5049356

Oswald Knoth, Denise Vogel

Publication date: 11 November 2022

Published in: Forum for Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-16-9665-7_4

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Cites Work

• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
• On the use of a coordinate transformation for the solution of the Navier- Stokes equations
• A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
• Versatile mixed methods for the incompressible Navier-Stokes equations
• The `recovered space' advection scheme for lowest-order compatible finite element methods
• The Finite Element Method: Theory, Implementation, and Applications
• Mixed and Hybrid Finite Element Methods
• Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra

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