Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation law in two space dimensions
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- by Anders Szepessy PDF
- Math. Comp. 53 (1989), 527-545 Request permission
Abstract:
We prove 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. The proof is based on a uniqueness result for measure-valued solutions by DiPerna. We also prove an almost optimal error estimate for a linearized conservation law having a smooth exact solution.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Math. Comp. 53 (1989), 527-545
- MSC: Primary 65M60
- DOI: https://doi.org/10.1090/S0025-5718-1989-0979941-6
- MathSciNet review: 979941