Results 61 to 70 of about 523 (187)

Numerical Simulations for Parabolic Stochastic Equations Using a Structure-Preserving Local Discontinuous Galerkin Method

open access: yesAxioms
In this paper, a structure-preserving local discontinuous Galerkin (LDG) method is proposed for parabolic stochastic partial differential equations with periodic boundary conditions and multiplicative noise.
Mengqin Han, Zhenyu Wang, Xiaohua Ding
doaj   +1 more source

Localized Threats: How Ground Conductivity Shapes the Geoelectric Response

open access: yesSpace 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   +3 more
wiley   +1 more source

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

open access: yesInternational 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   +3 more
wiley   +1 more source

Numerical investigation on underwater explosion shock wave and cavitation characteristics in heterogeneous fluid

open access: yesApplied Ocean Research
Due to the combined action of the oceanic climate and environmental factors, there often exist the sound speed thermocline regions in the real ocean environment.
Wenbin Wu   +3 more
doaj   +1 more source

A Jacobian‐Free Newton‐Krylov Method for Cell‐Centred Finite Volume Solid Mechanics

open access: yesInternational 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

The effect of peristalsis on dispersion in Casson fluid flow

open access: yesAin Shams Engineering Journal
The present study examines the peristaltic flow of a non-Newtonian (Casson) fluid and solute transport through a flexible tube. Using the long-wavelength approximation, an analytical solution for the Casson fluid velocity is obtained in the axial and ...
P. Nagarani   +2 more
doaj   +1 more source

Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.
This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

Distributional derivatives and stability of discontinuous Galerkin finite element approximation methods

open access: yesElectronic Journal of Differential Equations, 2016
The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj  

A Simple and Robust Shock-Capturing Approach for Discontinuous Galerkin Discretizations

open access: yesEnergies, 2019
The discontinuous Galerkin (DG) method has become popular in Computational Fluid Dynamics mainly due to its ability to achieve high-order solution accuracy on arbitrary grids, its high arithmetic intensity (measured as the ratio of the number of floating
Jae Hwan Choi   +2 more
doaj   +1 more source

Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.
ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga   +3 more
wiley   +1 more source

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