Results 41 to 50 of about 37,043 (186)

Application of multigrid NLS-4DVar in radar radial velocity data assimilation with WRF-ARW

Atmospheric and Oceanic Science Letters, 2019
The nonlinear least-squares four-dimensional variational assimilation (NLS-4DVar) method introduced here combines the merits of the ensemble Kalman filter and 4DVar assimilation methods.
Lu ZHANG, Xiangjun TIAN, Hongqin ZHANG
doaj   +1 more source

The Effect of Multigrid Parameters in a 3D Heat Diffusion Equation

International Journal of Applied Mechanics and Engineering, 2018
The aim of this paper is to reduce the necessary CPU time to solve the three-dimensional heat diffusion equation using Dirichlet boundary conditions. The finite difference method (FDM) is used to discretize the differential equations with a second-order ...
F. De Oliveira, S.R. Franco, M.A. Villela Pinto   +2 more
doaj   +1 more source

A reinforcement learning strategy to automate and accelerate h/p-multigrid solvers

Results in Engineering
We explore a reinforcement learning strategy to automate and accelerate h/p-multigrid methods in high-order solvers. Multigrid methods are very efficient but require fine-tuning of numerical parameters, such as the number of smoothing sweeps per level ...
David Huergo, Laura Alonso, Saumitra Joshi, Adrian Juanicotena, Gonzalo Rubio, Esteban Ferrer   +5 more
doaj   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems

, 2017
A V-cycle multigrid method for the Hellan-Herrmann-Johnson (HHJ) discretization of the Kirchhoff plate bending problems is developed in this paper. It is shown that the contraction number of the V-cycle multigrid HHJ mixed method is bounded away from one
Chen, Long, Hu, Jun, Huang, Xuehai
core   +1 more source

Design of interface modules for flexible coupling of finite element codes with solvers of linear equations.

Computer Assisted Methods in Engineering and Science, 2017
This paper presents the design of flexible interfaces between finite element (FE) codes and solvers of linear equations. The main goal of the design is to allow for coupling FE codes that use different formulations (linear, non-linear, time dependent ...
Krzysztof Banaś, Kazimierz Chłoń
doaj   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

Green multigrid network

Physics of Fluids
GreenLearning networks (GL) [Boulle et al., Sci. Rep. 12, 4824 (2022)] directly learn Green's function in physical space, making them an interpretable model for capturing unknown solution operators of partial differential equations (PDEs). For many PDEs, the corresponding Green's function exhibits asymptotic smoothness.
Ye Lin, Youngju Lee, Jiwei Jia
openaire   +2 more sources

Algebraic Multigrid Based Preconditioning Approaches for Generalized Continuum Models and Indirect Displacement Control Techniques

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim, Peter Gamnitzer, Alexander Dummer, Matthias Neuner, Günter Hofstetter   +4 more
wiley   +1 more source

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source