On boundary conditions for the numerical solution of hyperbolic differential equations
β Scribed by D. M. Sloan
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 790 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0029-5981
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π SIMILAR VOLUMES
In this paper we show that the set of solutions of the Nicoletti or Floquet boundary value problems for hyperbolic differential equations is nonempty compact and convex. We apply the BrowderαGodheαKirk fixed point theorem.
## Abstract A simple explanation is given of the occurrence of wiggles in the flow field near outflow boundaries. If the shallowβwater equations are solved numerically spurious solutions with an oscillatory character turn out to exist, which can be generated by certain additional numerical boundary
A numerical algorithm is presented for two-dimensional Stokes equations (plane and axisymmetric case) with pressure and filtration boundary conditions. The numerical procedure is based on a divergence-free finite element method and is applicable to multiply connected domains. Comparisons between two
## Abstract In this article, we continue the numerical study of hyperbolic partial differentialβdifference equation that was initiated in (Sharma and Singh, __Appl Math Comput__ 201(2008), 229β238). In Sharma and Singh, the authors consider the problem with sufficiently small shift arguments. The t