Extended local fourier analysis for multigrid optimal smoothing, coarse grid correction, and preconditioning [PDF]
, 2001 Multigrid methods are fast iterative solvers for partial di erential equations. Especially for elliptic equations they have been proven to be highly e cient.
Wienands, Roman
core
Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems
, 2013 In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods. The class of Shifted Laplacian preconditioners are known to significantly speed-up Krylov convergence.
Bayliss +23 more
core +1 more source
Open Mathematics, 2023 Numerical methods for computing Steklov eigenvalues have attracted the attention of academia for their important physical background and wide applications.
Xie Jiali, Bi Hai
doaj +1 more source
Indeed, No Need for HMPA! A DFT Study Comparing the Lewis Basicity of Phosphoric Acid Triamides
ChemistryEurope, Volume 4, Issue 3, March 2026.High‐level density functional theory calculations of the interactions of protons, lithium cations, and samarium(II) and samarium(III) species with a series of Lewis bases reveal that TPPA and HAPO‐2 are stronger donor compounds than HMPA. Therefore, they should by excellent substitutes of carcinogenic and mutagenic HMPA in many reactions.
Luca Steiner +3 more
wiley +1 more source
Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets
Chemie Ingenieur Technik, Volume 98, Issue 3, Page 70-77, March 2026.The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt +3 more
wiley +1 more source
Multigrid Algorithms for Domain-Wall Fermions
, 2012 We describe an adaptive multigrid algorithm for solving inverses of the domain-wall fermion operator. Our multigrid algorithm uses an adaptive projection of near-null vectors of the domain-wall operator onto coarser four-dimensional lattices.
Brower, R. C. +3 more
core +1 more source
On the indefinite Helmholtz equation: complex stretched absorbing boundary layers, iterative analysis, and preconditioning [PDF]
, 2010 This paper studies and analyzes a preconditioned Krylov solver for Helmholtz problems that are formulated with absorbing boundary layers based on complex coordinate stretching.
Aguilar +28 more
core +1 more source
A novel multigrid method for electronic structure calculations
, 2001 A general real-space multigrid algorithm for the self-consistent solution of the Kohn-Sham equations appearing in the state-of-the-art electronic-structure calculations is described.
A. Brandt +33 more
core +1 more source
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 +2 more
doaj +1 more source
A Jacobian‐Free Newton‐Krylov Method for Cell‐Centred Finite Volume Solid Mechanics
International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.ABSTRACT This study proposes a Jacobian‐free Newton‐Krylov approach for finite‐volume solid mechanics. Traditional Newton‐based approaches require explicit Jacobian matrix formation and storage, which can be computationally expensive and memory‐intensive.
Philip Cardiff +3 more
wiley +1 more source