Results 71 to 80 of about 1,001 (186)

Localized Threats: How Ground Conductivity Shapes the Geoelectric Response

Space Weather, Volume 24, Issue 3, March 2026.
Abstract Geomagnetic storms can induce strong geoelectric fields in the ground. These fields drive geomagnetically induced currents in technological conductor systems, such as power grids. In this study, we analyze 4‐hr periods of two such major geomagnetic storms: the Halloween storm (29–31 October 2003) and the 7–8 September 2017 storm.
M. Kellinsalmi, E. Marshalko, L. Juusola, A. Viljanen   +3 more
wiley   +1 more source

Preconditioning GMRES for discontinuous Galerkin approximations

Computer Assisted Methods in Engineering and Science, 2023
The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
doaj  

Application of discontinuous Galerkin method for solving a compressible five-equation two-phase flow model

Results in Physics, 2018
In this article, a reduced five-equation two-phase flow model is numerically investigated. The formulation of the model is based on the conservation and energy exchange laws. The model is non-conservative and the governing equations contain two equations
M. Rehan Saleem, Ishtiaq Ali, Shamsul Qamar   +2 more
doaj   +1 more source

Numerical Approximation of a PDE‐Constrained Optimization Problem that Appears in Data‐Driven Computational Mechanics

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia, Roberto F. Ausas   +3 more
wiley   +1 more source

Discontinuous Galerkin schemes for the Stokes problem [PDF]

EPJ Web of Conferences
Our aim is to develop a robust and flexible code to simulate flows in nuclear core reactors. Discontinuous Galerkin schemes are thus proposed here to solve the Stokes problem, which stands as a fundamental element in fluid mechanics.
Mroueh Mayssa, Jamelot Erell, Omnes Pascal   +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, Dylan Armfield, Željko Tuković, Ivan Batistić   +3 more
wiley   +1 more source

The Discontinuous Galerkin Method with Diffusion [PDF]

Mathematics of Computation, 1992
Let \(\Omega\subset \mathbb{R}^ 2\) be a bounded polygon and \(\alpha=(\alpha_ 1,\alpha_ 2)\) a unit vector. The author considers the following class of constant-coefficient convection-diffusion equations: (1) \(u_ \alpha-\sigma_ 1u_{xx}-\sigma_ 2u_{yy}=f\), where \((x,y)\in \Omega\), \(u_ \alpha=\alpha\cdot\bigtriangledown u\) and \(\sigma_ 1\) and \(\
openaire   +1 more source

Convergence of adaptive discontinuous Galerkin methods

Mathematics of Computation, 2018
We develop a general convergence theory for adaptive discontinu- ous Galerkin methods for elliptic PDEs covering the popular SIPG, NIPG and LDG schemes as well as all practically relevant marking strategies. Another key feature of the presented result is, that it holds for penalty parameters only necessary for the standard analysis of the respective ...
Kreuzer, Christian, Georgoulis, Emmanuil H.   +1 more
openaire   +3 more sources

A highly accurate discontinuous Galerkin method for solving nonlinear Bratu's problem

Alexandria Engineering Journal
In this manuscript, we present an innovative approach to address nonlinear Bratu's problem by applying the Discontinuous Galerkin method. Our method accurately computes two-branched numerical solutions of the problem.
H. Temimi, M. Ben-Romdhane
doaj   +1 more source

Shock capturing for discontinuous galerkin methods

, 2023
Aquesta tesi doctoral proposa formulacions de Galerkin Discontinu (DG) d’alt ordre per la captura de shocks, obtenint alhora solucions altament precises per problemes de flux compressible. En les últimes dècades, la investigació en els mètodes de DG ha estat en constant creixement.
openaire   +4 more sources