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Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5543
Abstract: This paper introduces a kind of multigrid finite element method for the coupled semilinear elliptic equations. Instead of the common way of directly solving the coupled semilinear elliptic problems on some fine spaces, the presented…
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Keywords:
method coupled;
semilinear elliptic;
coupled semilinear;
elliptic equation ... See more keywords
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Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7415
Abstract: This study presents a new framework to solve the coupled semilinear elliptic equation by the domain decomposition algorithm. Unlike the traditional domain decomposition algorithm, the coupled semilinear elliptic equation doesn't need to be solved directly.…
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Keywords:
semilinear elliptic;
decomposition;
elliptic equation;
coupled semilinear ... See more keywords
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Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00690-1
Abstract: This paper is to introduce a type of cascadic multigrid method for coupled semilinear elliptic equations. Instead of solving the coupled semilinear elliptic equation on a very fine finite element space directly, the new scheme…
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Keywords:
cascadic multigrid;
multigrid method;
method coupled;
coupled semilinear ... See more keywords