On the design of an artificial diffusion model for the Lagrange-Galerkin method on unstructured triangular grids
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Summary
An adaptive algorithm is designed to ensure global control of the error in the L^2(L^2)$ norm with respect to a pre-determined tolerance, and the performance of this numerical algorithm is demonstrated by some numerical experiments.
- Type
- article
- Published
- 1996-05-01
- Cited by
- 6
- References
- 21
- Access
- Open access
- OpenAlex
- https://openalex.org/W110690133
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:14609322
Keywords
Galerkin method, A priori and a posteriori, Norm (philosophy), Finite element method, Mathematics
References
- Adaptive Lagrange-Galerkin methods for unsteady convection-dominated diffusion problems
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- Finite Elements and characteristics for some parabolic-hyperbolic problems
- Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems
- Adaptive finite element methods for diffusion and convection problems
- NUMERICAL METHODS FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OR FINITE DIFFERENCE PROCEDURES*
- Adaptive finite element methods for parabolic problems. I.: a linear model problem
- A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Cited by
- A Posteriori Error Analysis for Systems of Nonlinear Convection-Diffusion Equations
- A Posteriori Error Analysis for Linear Convection-Diffusion Problems Under Weak Mesh Regularity Assumptions
- Adaptive Lagrange-Galerkin methods for unsteady convection-diffusion problems
- Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity
- A Posteriori Error Analysis And Adaptivity For Finite Element Approximations Of Hyperbolic Problems
- A Posteriori Error Analysis and Adaptivity for Finite Element Approximations of Hyperbolic Problems
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