Two-grid scheme for characteristics finite-element solution of nonlinear convection diffusion problems

DOI10.1016/j.amc.2004.06.021zbMath1075.65123OpenAlexW1974672213MaRDI QIDQ1780546

Yi-Chen Ma, Xin-Qiang Qin

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.021

zbMATH Keywords

numerical exampleerror estimatesconvection-diffusion equationstwo-grid schemecharacteristics finite-element methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

The characteristic finite difference streamline diffusion method for convection-dominated diffusion problems ⋮ Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory ⋮ Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory

Cites Work

• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• Local and parallel finite element algorithms based on two-grid discretizations
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