Results 91 to 100 of about 37,719 (241)

Stabilized approximation of steady flow of third grade fluid in presence of partial slip

open access: yesResults in Physics, 2017
This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition.
Amer Rasheed   +3 more
doaj   +1 more source

Overcoming Computational Bottlenecks in Quantum Hydrodynamics: A Volume‐Based Integral Formalism for Spherical Nanoparticles

open access: yesNanophotonics, Volume 15, Issue 13, 13 July 2026.
Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis   +4 more
wiley   +1 more source

Sensitivity of Double‐Diffusive Mixed Convection in an Enclosure With a Zigzag Bottom Wall and a Torsionally Oscillating Lid Using Hybrid Nanofluid

open access: yesEngineering Reports, Volume 8, Issue 7, July 2026.
This study investigates the nature of sensitivity of an unsteady double‐diffusive mixed convective analysis in a trapezoidal enclosure featuring a zigzag bottom wall and a torsionally oscillating lid. This cavity is filled by a hybrid nanofluid (Ag‐MgO‐H2O). The cavity also contains internal heat generation.
Romana Sultana   +5 more
wiley   +1 more source

A weighted Nitsche discontinuous Galerkin finite element method for plane problems

open access: yesJournal of Hebei University of Science and Technology, 2018
The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG   +2 more
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation

open access: yesNumerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley   +1 more source

Defect correction from a galerkin viewpoint [PDF]

open access: yes, 1985
We consider the numerical solution of systems of nonlinear two point boundary value problems by Galerkin's method. An initial solution is computed with piecewise linear approximating functions and this is then improved by using higher—order piecewise ...
Moore, G
core  

Convergence of discontinuous galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's [PDF]

open access: yes, 2009
A discontinuous Galerkin finite element method for an optimal control problem related to semilinear parabolic PDE's is examined. The schemes under consideration are discontinuous in time but conforming in space.
Chrysafinos, K   +2 more
core   +1 more source

An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method [PDF]

open access: yesJournal of Applied and Computational Mechanics
The analysis of beam deformation on elastic foundation is very important in engineering applications, and studies of beams on linear elastic foundations are abundant and accurate.
Junlong Jiang   +5 more
doaj   +1 more source

Spatiotemporal Assessment of Groundwater Interactions With a Regulated River: A Case Study of the Nechako River, Canada

open access: yesRiver Research and Applications, Volume 42, Issue 6, Page 1172-1187, July 2026.
ABSTRACT Regulated rivers represent complex hydrological systems where groundwater–surface water interactions are governed by natural conditions and human interventions. This study investigates the spatiotemporal dynamics of groundwater–surface water exchanges in the Nechako River, British Columbia (Canada), using numerical simulations.
Milad Fakhari   +4 more
wiley   +1 more source

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