Results 71 to 80 of about 367,212 (211)

Polynomial Preconditioning for Indefinite Matrices

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
wiley   +1 more source

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

open access: yes, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

Accelerating CFD via local POD plus Galerkin projections

open access: yes, 2022
Se desarrollan varias técnicas basadas en descomposición ortogonal propia (DOP) local y proyección de tipo Galerkin para acelerar la integración numérica de problemas de evolución, de tipo parabólico, no lineales. Las ideas y métodos que se presentan conllevan un nuevo enfoque para la modelización de tipo DOP, que combina intervalos temporales cortos ...
openaire   +3 more sources

Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe   +3 more
wiley   +1 more source

Rapid convergence of a Galerkin projection of the KdV equation

open access: yesComptes Rendus. Mathématique, 2005
In this Note, it is shown that a Fourier Galerkin approximation of the Korteweg–de Vries equation with periodic boundary conditions converges exponentially fast if the initial data can be continued analytically to a strip about the real axis.
openaire   +1 more source

Maximum‐Entropy‐Based Meshless Modeling of Surface‐Tension‐Driven Large Deformation

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT Soft material modeling is challenging due, among others, to the substantial structural changes these materials undergo. In this context, meshless methods offer a promising alternative to overcome the limitations of established mesh‐based approximations such as finite elements. However, they introduce new challenges.
Rodrigo Castillo‐Acuna   +2 more
wiley   +1 more source

On the convergence of Galerkin method for solving hypersingular integral equations in special classes of functions

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The numerical method for solving hypersingular integral equations on a segment that arise in many problems of mathematical physics is considered. Materials and methods.
Yu.G. Smirnov
doaj   +1 more source

On Some Extended Block Krylov Based Methods for Large Scale Nonsymmetric Stein Matrix Equations

open access: yesMathematics, 2017
In the present paper, we consider the large scale Stein matrix equation with a low-rank constant term A X B − X + E F T = 0 . These matrix equations appear in many applications in discrete-time control problems, filtering and image restoration ...
Abdeslem Hafid Bentbib   +2 more
doaj   +1 more source

Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur   +5 more
wiley   +1 more source

Machine‐Learning Enhanced Parametric Reynolds‐Averaged Navier‐Stokes Equations at the Full‐ and Reduced‐Order Levels

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT In this contribution, we focus on the Reynolds‐averaged Navier‐Stokes (RANS) models and their exploitation to build reliable reduced‐order models to further accelerate predictions for real‐time applications and many‐query scenarios. Specifically, we investigate how machine learning can be employed to enhance the predictive capabilities of the ...
Davide Oberto   +2 more
wiley   +1 more source

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