Finite element characteristic methods requiring no quadrature

DOI10.1007/s10915-009-9276-2zbMath1203.76087OpenAlexW2078462453MaRDI QIDQ618583

Olivier Pironneau

Publication date: 16 January 2011

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

Full work available at URL: https://doi.org/10.1007/s10915-009-9276-2

zbMATH Keywords

finite element methodconvection-diffusion equationcharacteristic-Galerkin

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (3)

A second-order changing-connectivity ALE scheme and its application to FSI with large convection of fluids and near contact of structures ⋮ Convergence of lowest-order semi-Lagrangian schemes ⋮ A POSTERIORI ERROR ANALYSIS OF THE METHOD OF CHARACTERISTICS

Uses Software

• FreeFem++

Cites Work

• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• A second order characteristic finite element scheme for convection-diffusion problems
• A high order characteristics method for the incompressible Navier-Stokes equations
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• Numerical Analysis of Convection‐Diffusion‐Reaction Problems with Higher Order Characteristics/Finite Elements. Part II: Fully Discretized Scheme and Quadrature Formulas
• Unnamed Item

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