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2002

On the stability of a family of finite element methods for hyperbolic problems

10 years 27 days ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base case N = 2 (an extension of the box scheme to higher order) is due to Winther, who proved stability and optimal order convergence. By means of a simple counterexample, we show that, for linear approximation with N 3, the corresponding methods are unstable.
Gerard R. Richter
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Where MOC
Authors Gerard R. Richter
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