Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model

DOI10.1007/s00211-010-0330-7zbMath1428.35359OpenAlexW1984966251MaRDI QIDQ623333

Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu

Publication date: 14 February 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0330-7

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Stability and convergence analysis of a Crank-Nicolson leap-frog scheme for the unsteady incompressible Navier-Stokes equations ⋮ A peridynamic model for advection-reaction-diffusion problems ⋮ Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model ⋮ Stability and convergence for a complete model of mass diffusion ⋮ Unconditionally optimal error analysis of a linear Euler FEM scheme for the Navier-Stokes equations with mass diffusion ⋮ Optimal \(L^2\) error analysis of first-order Euler linearized finite element scheme for the 2D magnetohydrodynamics system with variable density

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and convergence for a complete model of mass diffusion
• Approximation by an iterative method for regular solutions for incompressible fluids with mass diffusion
• A priori error estimates of the Langrange-Galerkin method for Kazhikhov-Smagulov type systems.
• Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model
• Unconditional stability and convergence of fully discrete schemes for $2D$ viscous fluids models with mass diffusion
• Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier–Stokes Equations with Mass Diffusion
• Finite Element Methods for Navier-Stokes Equations
• On the Motion of Viscous Fluids in the Presence of Diffusion
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

This page was built for publication: Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model