Multigrid with different stencil
$begingroup$
I have a code for MultiGrid in 1D.
The code solves the Poisson equation with the central difference approximation.
$uL-2u+uR=f$.
I would like to generalize this approach and use it for the
$uL-a u+uR=f$, (with $a leftarrow 2-epsilon$). The code works fine if $|epsilon|>0.1$.
However it blows up if I choose $epsilon =0.01$ it blows up. This happens with both cell center or cell vertex formulation. Is there anyway to fix this issue?
Thanks for your helps
numerical-methods poissons-equation multigrid
edited Dec 18 '18 at 14:39
amWhy
192k28225439
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
$endgroup$
add a comment |
$begingroup$
I have a code for MultiGrid in 1D.
The code solves the Poisson equation with the central difference approximation.
$uL-2u+uR=f$.
I would like to generalize this approach and use it for the
$uL-a u+uR=f$, (with $a leftarrow 2-epsilon$). The code works fine if $|epsilon|>0.1$.
However it blows up if I choose $epsilon =0.01$ it blows up. This happens with both cell center or cell vertex formulation. Is there anyway to fix this issue?
Thanks for your helps
numerical-methods poissons-equation multigrid
edited Dec 18 '18 at 14:39
amWhy
192k28225439
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
$endgroup$
add a comment |
$begingroup$
I have a code for MultiGrid in 1D.
The code solves the Poisson equation with the central difference approximation.
$uL-2u+uR=f$.
I would like to generalize this approach and use it for the
$uL-a u+uR=f$, (with $a leftarrow 2-epsilon$). The code works fine if $|epsilon|>0.1$.
However it blows up if I choose $epsilon =0.01$ it blows up. This happens with both cell center or cell vertex formulation. Is there anyway to fix this issue?
Thanks for your helps
numerical-methods poissons-equation multigrid
edited Dec 18 '18 at 14:39
amWhy
192k28225439
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
$endgroup$
I have a code for MultiGrid in 1D.
The code solves the Poisson equation with the central difference approximation.
$uL-2u+uR=f$.
I would like to generalize this approach and use it for the
$uL-a u+uR=f$, (with $a leftarrow 2-epsilon$). The code works fine if $|epsilon|>0.1$.
However it blows up if I choose $epsilon =0.01$ it blows up. This happens with both cell center or cell vertex formulation. Is there anyway to fix this issue?
Thanks for your helps
numerical-methods poissons-equation multigrid
numerical-methods poissons-equation multigrid
edited Dec 18 '18 at 14:39
amWhy
192k28225439
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
edited Dec 18 '18 at 14:39
amWhy
192k28225439
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
edited Dec 18 '18 at 14:39
amWhy
192k28225439
edited Dec 18 '18 at 14:39
amWhy
192k28225439
edited Dec 18 '18 at 14:39
amWhy
192k28225439
192k28225439
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
asked Dec 18 '18 at 14:31
BatiCodeBatiCode
61
61
add a comment |
add a comment |
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