An Adaptive Multi-level method for Convection Diffusion Problems

DOI10.1051/m2an:2000150zbMath0952.65067OpenAlexW2135621346MaRDI QIDQ4950937

Adeline Mollard, Martine Marion

Publication date: 27 April 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197405

zbMATH Keywords

numerical experimentserror estimatecharacteristics methodconvection diffusion problemsadaptive multi-level method

Mathematics Subject Classification ID

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations ⋮ A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations ⋮ A two-level correction method in space and time based on Crank–Nicolson scheme for Navier–Stokes equations ⋮ Combination of standard Galerkin and subspace methods for the time-dependent Navier-Stokes equations with nonsmooth initial data

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
• Finite elements and characteristics for some parabolic-hyperbolic problems
• The nonlinear Galerkin method: A multiscale method applied to the simulation of homogeneous turbulent flows
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Modelling of the interaction of small and large eddies in two dimensional turbulent flows
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• A Spectral Method of Characteristics for Hyperbolic Problems
• Multilevel Methods in Space and Time for the Navier--Stokes Equations
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• Adaptive multilevel methods in space and time for parabolic problems-the periodic case

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