On the stability of a family of finite element methods for hyperbolic problems (Q2781208)
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scientific article; zbMATH DE number 1720959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of a family of finite element methods for hyperbolic problems |
scientific article; zbMATH DE number 1720959 |
Statements
19 March 2002
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finite element methods
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stability
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stationary transport equation
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0.9187791
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0.91448843
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0.9112776
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On the stability of a family of finite element methods for hyperbolic problems (English)
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The author considers the stationary linear transport equation \(\alpha\nabla u=f(x)\), \(x\in \Omega\subset \mathbb{R}^N\). The boundary condition is stated on the inflow part of \(\partial\Omega\). A stability analysis of finite element methods for this problem is performed. An example of an unstable method for \(N=3\) is presented.
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