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Unconditional Instability of Inflow-Dependent Boundary Conditions in Difference Approximations to Hyperbolic Systems

机译：双曲型系统差分逼近中流入相关边界条件的无条件不稳定性

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In this paper we study the stability of finite difference approximations to initial-boundary hyperbolic systems. As is well-known, a proper specification of boundary conditions for such systems is essential for their solutions to be well-defined. We prove a discrete analogue of the above - if the numerical boundary conditions are consistent with an inflow part of the problem, they render the overall computation unstable. An example of the inviscid gasdynamics equations is considered. (Author)

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作者
Tadmor, E.;
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年度 1981
页码 p.1-14
总页数 14
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Boundary value problems; Finite difference theory; Partial differential equations; Approximation(Mathematics);

机译：边值问题;有限差分理论;偏微分方程;逼近（数学）;

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3. A PRIORI ESTIMATES FOR MIXED FINITE ELEMENT APPROXIMATIONS OF SECOND-ORDER HYPERBOLIC EQUATIONS WITH ABSORBING BOUNDARY CONDITIONS [J] . Cowsar LC., Wheeler MF., Dupont TF. SIAM Journal on Numerical Analysis . 1996,第2期

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4. The Power of Trefftz Approximations: Finite Difference, Boundary Difference and Discontinuous Galerkin Methods; Nonreflecting Conditions and Non-Asymptotic Homogenization [C] . Fritz Kretzschmar, Sascha M. Schnepp, Herbert Egger, Finite difference methods, theory and applications . 2015

机译：Trefftz逼近的功效：有限差分，边界差分和不连续Galerkin方法；非反射条件和非渐近均质化
5. Approximation theory for compensator design for partially observed hyperbolic systems with boundary/point control. [D] . Hendrickson, Erik S. 1995

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6. Boundary conditions for hyperbolic systems of partial differentials equations [O] . Amr G. Guaily, Marcelo Epstein 2013

机译：偏微分方程双曲系统的边界条件
7. The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems [O] . Tadmor, Eitan 1983

机译：双曲系统差分逼近中与流入有关的边界条件的无条件不稳定性

Unconditional Instability of Inflow-Dependent Boundary Conditions in Difference Approximations to Hyperbolic Systems

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