Results 11 to 20 of about 6,260 (222)

Multigrid method for noncoercive parabolic variational inequality

Journal of Inequalities and Applications
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.
Mostafa Bahi, Mohammed Beggas, Mohamed Haiour, Salah Boulaaras   +3 more
doaj   +2 more sources

Nonlinear Multigrid Implementation for the Two-Dimensional Cahn–Hilliard Equation

Mathematics, 2020
We present a nonlinear multigrid implementation for the two-dimensional Cahn−Hilliard (CH) equation and conduct detailed numerical tests to explore the performance of the multigrid method for the CH equation.
Chaeyoung Lee, Darae Jeong, Junxiang Yang, Junseok Kim   +3 more
doaj   +1 more source

Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis

SN Applied Sciences, 2022
Article Highlights The use of a p-multigrid method significantly reduces the CPU timings for higher values of the spline degree. The Multigrid Reduction in Time method shows both strong and weak scalability up to 2048 cores.
Roel Tielen, Matthias Möller, Cornelis Vuik   +2 more
doaj   +1 more source

Measuring the effectiveness of extrapolation techniques associated with the multigrid method applied to the Navier-Stokes equations

Acta Scientiarum: Technology, 2022
In this work, we applied different extrapolation techniques in association with the multigrid method to discover which one is the most effective in reducing the iteration error and the processing time (CPU time), as well as in improving the convergence ...
Bruno Benato Rutyna, Marcio Augusto Villela Pinto, Reverton Luis Antunes Neundorf, Marcio Alexandro Maciel Anunciação, Marcio André Martins   +4 more
doaj   +1 more source

Multigrid methods for an elliptic optimal control problem with pointwise state constraints

Results in Applied Mathematics, 2023
We design multigrid methods for an elliptic distributed optimal control problem with pointwise state constraints. They are based on the P1 finite element method from Brenner et al.
Susanne C. Brenner, Sijing Liu, Li-yeng Sung   +2 more
doaj   +1 more source

An adaptive-smoothing multigrid method for the Navier-Stokes equations

, 2022
S.94-100The paper presents the development and investigation of an adaptive-smoothing (AS) procedure in conjunction with a full multigrid (FMG) - full approximation storage (FAS) method.
Drikakis, D., Iliev, O., Vassileva, D.
core   +1 more source

Special issue on multigrid methods [PDF]

Computing and Visualization in Science, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Artem Napov, Yvan Notay, Stefan Vandewalle   +2 more
openaire   +3 more sources

A Geometric Multigrid Method for 3D Magnetotelluric Forward Modeling Using Finite-Element Method

Remote Sensing, 2023
The traditional three-dimensional (3D) magnetotelluric (MT) forward modeling using Krylov subspace algorithms has the problem of low modeling efficiency.
Xianyang Huang, Changchun Yin, Luyuan Wang, Yunhe Liu, Bo Zhang, Xiuyan Ren, Yang Su, Jun Li, Hui Chen   +8 more
doaj   +1 more source

A Nonlinear Multigrid Method for the Parameter Identification Problem of Partial Differential Equations with Constraints

Mathematics, 2022
In this paper, we consider the parameter identification problem of partial differential equations with constraints. A nonlinear multigrid method is introduced to the process of parameter inversion.
Tao Liu, Jiayuan Yu, Yuanjin Zheng, Chao Liu, Yanxiong Yang, Yunfei Qi   +5 more
doaj   +1 more source

An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection–diffusion equations

Advances in Difference Equations, 2018
In this paper, we propose an extrapolation full multigrid (EXFMG) algorithm to solve the large linear system arising from a fourth-order compact difference discretization of two-dimensional (2D) convection diffusion equations.
Ming Li, Zhoushun Zheng, Kejia Pan
doaj   +1 more source