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Multigrid method for coupled semilinear elliptic equation

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0 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… read more here.

Keywords: method coupled; semilinear elliptic; coupled semilinear; elliptic equation ... See more keywords

A type of cascadic multigrid method for coupled semilinear elliptic equations

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0 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… read more here.

Keywords: cascadic multigrid; multigrid method; method coupled; coupled semilinear ... See more keywords

A Tensor Multigrid Method for Solving Sylvester Tensor Equations

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0 Published in 2024 at "IEEE Transactions on Automation Science and Engineering"

DOI: 10.1109/tase.2023.3296110

Abstract: In this paper, we propose a tensor multigrid method and an iterative tensor multigrid method to solve the Sylvester tensor equations which may arise from the discretization of high order partial differential equations (PDEs). The… read more here.

Keywords: tensor; tensor equations; tensor multigrid; multigrid method ... See more keywords

Multigrid method for noncoercive parabolic variational inequality

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0 Published in 2025 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-025-03285-8

Abstract: In this article, our work is focused on the proof of the uniform convergence of the multigrid method for parabolic variational inequality with a noncoercive operator and its numerical solution. To discretize the problem, we… read more here.

Keywords: variational inequality; parabolic variational; multigrid method; noncoercive operator ... See more keywords

Research of the Algebraic Multigrid Method for Electron Optical Simulator

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2 Published in 2022 at "Entropy"

DOI: 10.3390/e24081133

Abstract: At present, electron optical simulator (EOS) takes a long time to solve linear FEM systems. The algebraic multigrid preconditioned conjugate gradient (AMGPCG) method can improve the efficiency of solving systems. This paper is focused on… read more here.

Keywords: optical simulator; multigrid method; algebraic multigrid; electron optical ... See more keywords