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Artificial boundary conditions for diffusion equations: Numerical study

โœ Scribed by Eric Dubach

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
660 KB
Volume
70
Category
Article
ISSN
0377-0427

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๐Ÿ“œ SIMILAR VOLUMES

An artificial boundary condition for an
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## Abstract Consider the advectionโ€“diffusion equation: u~1~ + au~x1~ โˆ’ vฮดu = 0 in โ„^n^ ร— โ„^+^ with initial data u^0^; the Support of u^0^ is contained in โ„(x~1~ < 0) and a: โ„^n^ โ†’ โ„ is positive. In order to approximate the full space solution by the solution of a problem in โ„ ร— โ„^+^, we propose the

Artificial Boundary Conditions for the L
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The compressible Navier-Stokes equations belong to the class of incompletely parabolic systems. The general method developed by Laurence Halpern for deriving artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems is applied to the linearized compressible Navier

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โœ C. B. Vreugdenhil; N. Booij ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 310 KB

## Abstract A simple explanation is given of the occurrence of wiggles in the flow field near outflow boundaries. If the shallowโ€water equations are solved numerically spurious solutions with an oscillatory character turn out to exist, which can be generated by certain additional numerical boundary

Numerical investigation of quenching for
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## Abstract For a nonlinear diffusion equation with a singular Neumann boundary condition, we devise a difference scheme which represents faithfully the properties of the original continuous boundary value problem. We use nonโ€uniform mesh in order to adequately represent the spatial behavior of the