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
1
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
$endgroup$
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
1
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
$endgroup$
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
1
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
$endgroup$
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
1
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
edited Dec 18 '18 at 14:39
amWhy
1
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
edited Dec 18 '18 at 14:39
amWhy
1
edited Dec 18 '18 at 14:39
amWhy
1
edited Dec 18 '18 at 14:39
amWhy
1
1
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
asked Dec 18 '18 at 14:31
HasbesteinHasbestein
1061
1061
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3045230%2fmultigrid-with-different-stencil%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3045230%2fmultigrid-with-different-stencil%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
