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Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation law in two space dimensions

Journal Article · · Mathematics of Computation; (USA)
 [1]
  1. Goteborg Universitet (Sweden)
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A convergence result for a shock-capturing streamline diffusion finite element method applied to a time-dependent scalar nonlinear hyperbolic conservation law in two space dimensions is demonstrated. The proof is based on a uniqueness result for measure-valued solutions by DiPerna. An almost optimal error estimate for a linearized conservation law having a smooth exact solution is also demonstrated. 11 refs.
OSTI ID:
7241921
Journal Information:
Mathematics of Computation; (USA), Journal Name: Mathematics of Computation; (USA) Vol. 53; ISSN 0025-5718; ISSN MCMPA
Country of Publication:
United States
Language:
English

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Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONSERVATION LAWS
CONVERGENCE
DIFFUSION
FINITE ELEMENT METHOD
FLUID FLOW
FLUID MECHANICS
GALERKIN-PETROV METHOD
ITERATIVE METHODS
LAMINAR FLOW
LEAST SQUARE FIT
MAXIMUM-LIKELIHOOD FIT
MECHANICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
SCALARS
SHOCK WAVES
TIME DEPENDENCE