Results 81 to 90 of about 11,516 (229)

Multigrid fourier analysis on semi‐structured anisotropic meshes for vector problems

Mathematical Modelling and Analysis, 2010
An efficient multigrid finite element method for vector problems on triangular anisotropic semi‐structured grids is proposed. This algorithm is based on zebra line‐type smoothers to overcome the difficulties arising when multigrid is applied on stretched
Francisco J. Gaspar, Francisco J. Lisbona, Carmen Rodrigo   +2 more
doaj   +1 more source

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque, Yunhui He, Maxim Olshanskii   +2 more
wiley   +1 more source

Computational Aerodynamics on unstructed meshes [PDF]

, 2004
New 2D and 3D unstructured-grid based flow solvers have been developed for simulating steady compressible flows for aerodynamic applications. The codes employ the full compressible Euler/Navier-Stokes equations.
Zheng, Yun
core  

Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Additive overlapping Schwarz methods are iterative methods of the domain decomposition type for the solution of partial differential equations. Numerical and parallel scalability of these methods can be achieved by adding coarse levels. A successful coarse space, inspired by iterative substructuring, is the generalized Dryja–Smith–Widlund ...
Stephan Köhler, Oliver Rheinbach
wiley   +1 more source

Application of a solution-adaptive multigrid method to the Euler equations [PDF]

, 1993
A locally refined multigrid method for solving the steady Euler equations of gas dynamics is presented. The method makes use of grids in a locally nested sequence. It is briefly described and next applied to some steady Euler flow problems.
Maarel, van der, H.T.M., Koren, B. (Barry), Maarel, H.T.M. (Eric) van der, Koren, B., Maarel, HTM van der, Koren, Barry, Michelsen, JA, Koren, B Barry, Hemker, Piet, Maarel, Eric, Hemker, PW, Michelsen, J.A., Hemker, P.W., Hemker, P.W. (Piet)   +13 more
core  

A Multidimensional Upwind Solution Adaptive Multigrid Solver for Inviscid Cascades

, 1994
A recently developed multidimensional upwind multigrid method is combined with an adaptive grid refinement strategy in order to provide a numerical technique for computing two-dimensional compressible inviscid steady flows accurately and efficiently.
L. A. Catalano, M. Napolitano, P. De Palma, G. Pascazio   +3 more
core   +1 more source

A cell structure implementation of the multigrid method for the two-dimensional diffusion equation

AIP Advances
To solve the two-dimensional diffusion equation using the finite difference method, we propose a simple MATLAB implementation of the multigrid method. The diffusion equation plays a fundamental role in modeling many significant physical phenomena and is ...
Yongho Choi, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Jyoti, Hyundong Kim, Junseok Kim   +6 more
doaj   +1 more source

A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D

International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Um estudo de métodos de suavização para o multigrid algébrico baseado em Wavelets

Exacta, 2010
O método Multigrid Algébrico baseado em Wavelets foi proposto para resolver sistemas de equações lineares gerados em aplicações do Método Elementos Finitos.
Fabio Henrique Pereira, Silvio Ikuyo Nabeta   +1 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, Volume 50, Issue 7, Page 3256-3273, May 2026.
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