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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 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
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Published in 2024 at "Journal of Thermal Stresses"
DOI: 10.1080/01495739.2024.2338473
Abstract: Abstract In this paper, the coupled linear theory of thermoelasticity for nanomaterials with triple porosity is considered in which the combination of Darcy’s law and the volume fraction concept for three levels of pores (macro-,…
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Keywords:
method;
method coupled;
potential method;
singular integral ... See more keywords
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Published in 2020 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/drz048
Abstract: In this paper we propose a locally conservative, lowest-order staggered discontinuous Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and polygonal meshes. This model is composed of Stokes flow in the fluid region…
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Keywords:
order staggered;
lowest order;
method coupled;
method ... See more keywords
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Published in 2024 at "Mathematics"
DOI: 10.3390/math12233753
Abstract: A quantum theory of mesoscopic circuits, based on the discreteness of electric charges, was recently proposed. However, it is not applied widely, mainly because of the difficulty of the mathematical solution to the finite-difference Schrödinger…
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Keywords:
method;
schr dinger;
improved quantization;
method coupled ... See more keywords