Results 51 to 60 of about 14,331 (187)
h-multigrid agglomeration based solution strategies for discontinuous Galerkin discretizations of incompressible flow problems [PDF]
, 2017 In this work we exploit agglomeration based $h$-multigrid preconditioners to speed-up the iterative solution of discontinuous Galerkin discretizations of the Stokes and Navier-Stokes equations.
Bassi, Francesco +2 more
core +2 more sources
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
International Journal for Numerical Methods in Fluids, EarlyView.Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source
SCALABILITY ANALYSIS OF PARALLEL GMRES IMPLEMENTATIONS [PDF]
Parallel Algorithms and Applications, 2002 Abstract Applications involving large sparse nonsymmetric linear systems encourage parallel implementations of robust iterative solution methods, such as GMRES(k). Two parallel versions of GMRES(k) based on different data distributions and using Householder reflections in the orthogonalization phase are analyzed with respect to scalability (their ...
Donald C.S. Allison† +2 more
openaire +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
SICE Journal of Control, Measurement, and System Integration, 2019 We consider solving a large-scale Lyapunov equation for a multi-agent system. As is well known, the Lyapunov equation can be solved by equivalently rewriting it as a system of linear equations.
Asuka Ohashi, Kiyotsugu Takaba
doaj +1 more source
An Electric Field Volume Integral Equation Approach to Simulate Surface Plasmon Polaritons
Advanced Electromagnetics, 2013 In this paper we present an electric field volume integral equation approach to simulate surface plasmon propagation along metal/dielectric interfaces. Metallic objects embedded in homogeneous dielectric media are considered.
R. Remis, E. Charbon
doaj +1 more source
Five-Precision GMRES-Based Iterative Refinement [PDF]
SIAM Journal on Matrix Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amestoy, Patrick +5 more
openaire +3 more sources
Computational analysis to assess hemodynamic forces in descending thoracic aortic aneurysms
The Journal of Physiology, EarlyView.Abstract figure legend Left: Pre‐processing. First, we perform the segmentation of the Computer Tomography angiorgraphy (angio‐CT) scans of a healthy patient, obtaining the surface of a healthy thoracic aorta with a Type III aortic arch. Then, we build nine ideal configurations with Descending Thoracic Aortic Aneurysm (DTAA), varying the aortic arch ...
Francesca Duca +7 more
wiley +1 more source
Trends in Computational and Applied Mathematics, 2022 Neste artigo o método multigrid algébrico baseado em agregação suavizada, o método clássico de Ruge-Stüben e o método GMRES pré-condicionado por multigrid algébrico foram utilizados para a solução da equação do fluxo livre estacionário em domínio ...
J. P. M. dos Santos +3 more
doaj +1 more source
Infinite GMRES for Parameterized Linear Systems
SIAM Journal on Matrix Analysis and Applications, 2022 We consider linear parameter-dependent systems $A(μ) x(μ) = b$ for many different $μ$, where $A$ is large and sparse, and depends nonlinearly on $μ$. Solving such systems individually for each $μ$ would require great computational effort. In this work we propose to compute a partial parameterization $\tilde{x} \approx x(μ)$ where $\tilde{x}(μ)$ is ...
Elias Jarlebring, Siobhán Correnty
openaire +3 more sources