Results 61 to 70 of about 4,672 (202)

Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley   +1 more source

Application of Discontinuity Layout Optimization to Metal Shells and Assemblies

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Discontinuity Layout Optimization (DLO) provides a computationally efficient means of determining collapse loads and associated failure mechanisms across a wide spectrum of plasticity problems. The classical DLO method has focused separately on in‐plane and out‐of‐plane plasticity.
John Valentino, Linwei He, Matthew Gilbert   +2 more
wiley   +1 more source

Stable Model Reduction for Time‐Domain Room Acoustics: A Structure‐Preserving Formulation for Complex Boundaries

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu, Hermes Sampedro Llopis, Solvi Thrastarson, Finnur Pind, Runar Unnthorsson   +4 more
wiley   +1 more source

Wavelength‐Dependent Differential Amplification of Raman Scattering by Chiral Gold Nanorods for Multiplexed Encoding

Advanced Functional Materials, Volume 36, Issue 20, 9 March 2026.
The SERS spectra of reporter molecules adsorbed on chiral gold nanorods depends on the handedness of circularly polarized light (CPL‐SERS). The bisignate plasmonic CD spectra of chiral nanorods provides wavelength‐dependent CPL‐SERS. Selective discrimination of chiral nanorod handedness and different Raman reporters allow highly sensitive codification ...
Andrés Serrano‐Freijeiro, Carlos Renero‐Lecuna, Manuel Obelleiro‐Liz, Víctor F. Martín, Diptesh Dey, José M. Taboada, George C. Schatz, Isabel Pastoriza‐Santos, Jorge Pérez‐Juste, Luis M. Liz‐Marzán   +9 more
wiley   +1 more source

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj   +1 more source

The Realization of Multidirectional, Free‐Standing 3D Plasmonic Nanostructures via 3D Nanoprinting: A Case Study of Fractal Antennas

Advanced Functional Materials, Volume 36, Issue 20, 9 March 2026.
Free‐standing plasmonic gold‐based fractal antennas are fabricated by 3D nanoprinting, employing focused electron beam induced deposition and an optimized purification method to remove carbon while conserving structural fidelity. Simulation and experiment show broadband plasmonic activity, including customizable polarizability, thereby paving the way ...
Verena Reisecker, Robert Winkler, Ulrich Hohenester, Evelin Fisslthaler, Daniel Knez, Gerald Kothleitner, Georg Haberfehlner   +6 more
wiley   +1 more source

Statistical and Numerical Analysis of Conjugate Heat and Momentum Transfer in an Open Cavity With a Thick Wall Using Cu–Water Nanofluid

Engineering Reports, Volume 8, Issue 3, March 2026.
Considered physical model and effect of Nuav(τ = 0.1) for Re and ϕ at τ = 0.1. ABSTRACT Although open cavity configurations are common in modern electronic and solar applications, limited attention has been given to thick‐walled hollow cavity designs, particularly in the context of comprehensive sensitivity analysis.
Murad Hossen, Abul Kalam Azad, Raita Rahman, Maisha Nusrat, Tahiya Hossain, Md Mustafizur Rahman   +5 more
wiley   +1 more source

Galerkin-finite difference method for fractional parabolic partial differential equations

MethodsX
The fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan, Trishna Datta, Md. Shafiqul Islam   +2 more
doaj   +1 more source

A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
europepmc   +1 more source

Finite Element Analysis and ANN Validation of Mixed Convection Nanofluid Flow in a Star‐Shaped Corrugated Cavity With Multiple Heated Baffles

Engineering Reports, Volume 8, Issue 3, March 2026.
This study carefully examines the mixed convection heat transport properties of a water–Al2O3 nanofluid inside a corrugated chamber with heated baffles in the shape of a star. The effects of different Rayleigh numbers, nanoparticle volume fractions, and baffle placement are carefully evaluated, and the cavity is subjected to buoyancy forces. The finite
Rabia Salma, Sohail Nadeem, Jehad Alzabut, Muzamil Fatima, B. Zigta   +4 more
wiley   +1 more source