Multigrid method for nonlinear eigenvalue problems based on Newton iteration

F Xu, M Xie, M Yue - Journal of Scientific Computing, 2023 - Springer
multigrid method based on Newton iteration is proposed to solve nonlinear eigenvalue
problems… , we introduce the multigrid method to solve the nonlinear eigenvalue problems. We use …

Local and parallel multigrid method for nonlinear eigenvalue problems

F Xu, Q Huang - Journal of Scientific Computing, 2020 - Springer
… 3, we introduce the finite element method for the nonlinear eigenvalue problem and state …
A type of local and parallel multigrid algorithm for solving the nonlinear eigenvalue problem …

Adaptive multigrid method for quantum eigenvalue problems

F Xu, B Wang, F Luo - Journal of Computational and Applied Mathematics, 2024 - Elsevier
… finite element method is proposed for nonlinear eigenvalue problems in electronic … method
and adaptive multigrid method. Different from the classical adaptive finite element method for …

A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering

M Xie, F Xu, M Yue - ESAIM: Mathematical Modelling and …, 2021 - esaim-m2an.org
algorithm for solving boundary value problems. Hence, the aim of this paper is to present a
full multigrid method [15… finite element method) for solving non-selfadjoint Steklov eigenvalue

An efficient nonlinear multigrid scheme for 2D boundary value problems

S Iqbal, PA Zegeling - Applied Mathematics and Computation, 2020 - Elsevier
approach, instead of solving an equation for corrections of the solution on a coarse grid, the
original equation is prescribed and full … will describe both multigrid methods in more detail. …

[HTML][HTML] A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted Finite Element Method

H Kothari, R Krause - Computer methods in applied mechanics and …, 2022 - Elsevier
multigrid method can solve such problems by employing a tailored multilevel hierarchy of the
FE spaces and a novel approach … of our multigrid method is a technique that decouples the …

[PDF][PDF] Numerical Methods, Multigrid

WA Mulder - Encyclopedia of Solid Earth Geophysics: Living …, 2020 - homepage.tudelft.nl
… One way to apply the multigrid method to nonlinear PDEs is the use of … of the multigrid
method is not restricted to the solution of PDEs. There are generalizations to eigenvalue problems, …

An efficient pmultigrid spectral element model for fully nonlinear water waves and fixed bodies

AP Engsig‐Karup, WL Laskowski - … for Numerical Methods in …, 2021 - Wiley Online Library
… (PDC) obtained using a flexible-order finite difference FNPF simulator 23 can be used as
a reference for the multigrid methods in this work. In the following, we provide details on the …

Increased space-parallelism via time-simultaneous Newton-multigrid methods for nonstationary nonlinear PDE problems

J Dünnebacke, S Turek, C Lohmann… - … Journal of High …, 2021 - journals.sagepub.com
… , finite element methods. For linear PDEs, the resulting method is closely related to multigrid
… In our parabolic test problems the numerical behavior of this multigrid approach is robust wrt …

[PDF][PDF] An algebraic multigrid method for eigenvalue problems and its numerical tests

N Zhang, X Han, Y He, H Xie, C You - East Asian J. Appl. Math, 2021 - global-sci.com
… Another aim of this paper is to investigate the efficiency of the AMG method for eigenvalue
problems. We test various eigenvalue problems and numerical results show that the time …