Results 31 to 40 of about 54,023 (335)
Axioms, 2018 This work studies limited memory preconditioners for linear symmetric positive definite systems of equations. Connections are established between a partial Cholesky factorization from the literature and a variant of Quasi-Newton type preconditioners ...
Benedetta Morini
doaj +1 more source
Preconditioners for Multi-Screen Scattering
2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2022 In this contribution, a well-conditioned method for the modelling of scattering by so-called multi-screens or PEC sheets including junctions is introduced. The method starts from the inflated screen approach by Claeys and Hiptmair. We introduce a Calderón preconditioner and a suitable discretisation scheme.
Cools, Kristof, Urzua-Torres, Carolina
openaire +3 more sources
Preconditioning Large Indefinite Linear Systems
Sultan Qaboos University Journal for Science, 2011 After briefly recalling some relevant approaches for preconditioning large symmetric linear systems, we describe a novel class of preconditioners. Our proposal is tailored for large indefinite linear systems, which arise very frequently in many different
Giovanni Fasano, Massimo Roma
doaj +1 more source
BPX-Preconditioning for isogeometric analysis [PDF]
, 2012 We consider elliptic PDEs (partial differential equations) in the framework of isogeometric analysis, i.e., we treat the physical domain by means of a B-spline or Nurbs mapping which we assume to be regular.
Buffa, Annalisa +3 more
core +2 more sources
Mixed-Dimensional Auxiliary Space Preconditioners [PDF]
SIAM Journal on Scientific Computing, 2020 This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this setting. With the use of conforming mixed finite element spaces, we then expand these results to the discrete case and obtain a ...
Budisa, Ana, Boon, Wietse, Hu, Xiaozhe
openaire +4 more sources
Generating Approximate Inverse Preconditioners for Sparse Matrices Using CUDA and GPGPU
Journal of Algorithms & Computational Technology, 2011 The problem of numerical solution of sparse matrix-based linear systems arises from many scientific applications. Iterative solvers and corresponding preconditioning techniques are usually adopted.
Shiming Xu +3 more
doaj +1 more source
A splitting preconditioner for the incompressible navier–stokes equations
Mathematical Modelling and Analysis, 2013 In this paper, a splitting preconditioner based on the relaxed dimensional factorization (RDF) preconditioner and the modified augmented Lagrangian (MAL) preconditioner for the incompressible Navier–Stokes equations is presented.
Ze-Jun Hu, Ting-Zhu Huang, Ning-Bo Tan
doaj +1 more source
Progressive Iterative Approximation with Preconditioners
Mathematics, 2020 The progressive iterative approximation (PIA) plays an important role in curve and surface fitting. By using the diagonally compensated reduction of the collocation matrix, we propose the preconditioned progressive iterative approximation (PPIA) to ...
Chengzhi Liu, Zhongyun Liu
doaj +1 more source
Efficient preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains
, 2016 We study preconditioners for a model problem describing the coupling of two elliptic subproblems posed over domains with different topological dimension by a parameter dependent constraint.
Kuchta, Miroslav +4 more
core +1 more source
Scalable Block Preconditioners for Linearized Navier-Stokes Equations at High Reynolds Number
Algorithms, 2020 We review a number of preconditioners for the advection-diffusion operator and for the Schur complement matrix, which, in turn, constitute the building blocks for Constraint and Triangular Preconditioners to accelerate the iterative solution of the ...
Filippo Zanetti, Luca Bergamaschi
doaj +1 more source