Stability of a combined finite element - finite volume discretization of convection-diffusion equations

DOI10.1002/num.20624zbMath1243.65109OpenAlexW2034772837MaRDI QIDQ2885151

Paul Deuring, Marcus Mildner

Publication date: 21 May 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20624

zbMATH Keywords

stabilityfinite volume methodconvection-diffusion equationupwind methodbarycentric finite volumesCrouzeix-Raviart finite elementscombined finite element

Mathematics Subject Classification ID

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) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates ⋮ Identification of dynamical systems with structured uncertainty ⋮ Error estimates for a finite element-finite volume discretization of convection-diffusion equations ⋮ $L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems.
• On efficient least-squares finite element methods for convection-dominated problems
• Convergence analysis of an upwind mixed element method for advection diffusion problems
• Analysis of the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated convection-diffusion problems
• Error estimates for the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated problems
• Analysis of a combined barycentric finite volume---nonconforming finite element method for~nonlinear convection-diffusion problems
• Improvements of the Mizukami-Hughes method for convection-diffusion equations
• Convergence of an upwind control-volume mixed finite element method for convection-diffusion problems
• Stability and error analysis of mixed finite-volume methods for advection dominated problems
• On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems
• A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations
• On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Explicit schemes
• On the Discrete Friedrichs Inequality for Nonconforming Finite Elements
• Error Estimates for a Combined Finite Volume--Finite Element Method for Nonlinear Convection--Diffusion Problems
• An implicit mixed finite-volume-finite-element method for solving 3D turbulent compressible flows
• A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
• L ∞ (L 2)-error estimates for the DGFEM applied to convection–diffusion problems on nonconforming meshes
• Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems