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Characteristic-Galerkin and Galerkin/Least-Squares Space-Time Formulations for the Advection-Diffusion Equation with Time-Dependent Domains.

Author: O Pironneau; J Liou; T Tezduyar; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center JAN 1992.
Edition/Format:   eBook : English
Database:WorldCat
Summary:
For the advection-diffusion equation, the characteristic-Galerkin formulations are obtained by temporal discretization of the total derivative. These formulations, by construction, are Eulerian-Lagrangian, and therefore can handle time-dependent domains without difficulty. The Galerkin/least-squares space-time formulation, on the other hand, is written over the space-time domain of a problem, and therefore can  Read more...
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Material Type: Internet resource
Document Type: Internet Resource
All Authors / Contributors: O Pironneau; J Liou; T Tezduyar; MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS.
OCLC Number: 227800633
Description: 27 pages

Abstract:

For the advection-diffusion equation, the characteristic-Galerkin formulations are obtained by temporal discretization of the total derivative. These formulations, by construction, are Eulerian-Lagrangian, and therefore can handle time-dependent domains without difficulty. The Galerkin/least-squares space-time formulation, on the other hand, is written over the space-time domain of a problem, and therefore can handle time-dependent domains with no implementational difficulty. The purpose of this paper is to compare these two formulations based on error estimates and numerical performance, in the context of the advection-diffusion equation.

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