A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains
โ Scribed by Frederic Gibou; Ronald P. Fedkiw; Li-Tien Cheng; Myungjoo Kang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 429 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The radius of analyticity of periodic analytic functions can be characterized by the decay of their Fourier coefficients. This observation has led to the use of socalled Gevrey norms as a simple way of estimating the time evolution of the spatial radius of analyticity of solutions to parabolic as we
j makes sense. If โ is bounded then, with the understanding that Z 0 [ ะป, ลฝ . ลฝ . A3 is trivially satisfied with s โ, s ะป, and m s 0, and iii then imposes no restriction on the kernel k.
A closed form solution of a second order linear homogeneous difference equation with variable coefficients is presented. As an application of this solution, ลฝ . we obtain expressions for cos n and sin n q 1 rsin as polynomials in cos .
A formally third-order accurate finite volume upwind scheme which preserves monotonicity is constructed. It is based on a third-order polynomial interpolant in Leonard's normalized variable space. A flux limiter is derived using the fact that there exists a one-to-one map between normalized variable