Published October 1989
| Version v1
Journal article
Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation law in two space dimensions
Description
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
Additional details
Publishing Information
- Journal Title
- Mathematics of Computation
- Journal Volume
- 53
- Series
- Math. Comput.
- Journal Page Range
- 527-545
- ISSN
- 0025-5718
- CODEN
- MCMPA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 21037852
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- CONSERVATION LAWS; CONVERGENCE; DIFFUSION; FINITE ELEMENT METHOD; FLUID MECHANICS; GALERKIN-PETROV METHOD; LAMINAR FLOW; LEAST SQUARE FIT; NONLINEAR PROBLEMS; SCALARS; SHOCK WAVES; TIME DEPENDENCE
- Descriptors DEC
- FLUID FLOW; ITERATIVE METHODS; MAXIMUM-LIKELIHOOD FIT; MECHANICS; NUMERICAL SOLUTION