Results 101 to 110 of about 702,196 (224)

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source

A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators

, 2016
This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized frames and the associated Banach spaces in full detail.
A. Marcus, C. Kasess, D. Geller, D. Luenberger, E. Cordero, E. Cordero, E. Cordero, E. Cordero, G. Chen, H. Harbrecht, H. Ziegelwanger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, I. Gohberg, I. Pesenson, I.J. Maddox, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, L. Crone, L. Gaul, M. Fornasier, M. Fornasier, M. Frazier, M. Gosson De, N. Lindholm, O. Christensen, O. Christensen, P. Balazs, P. Balazs, P. Balazs, P. Casazza, P. Casazza, P. Flandrin, P.G. Casazza, Q. Sun, R. Coifman, R. Stevenson, R.M. Balan, S. Brenner, S. Dahlke, S. Dahlke, S. Dahlke, T. Ullrich, W. Dahmen, W. Kreuzer, Y. Meyer   +55 more
core   +1 more source

Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems

Journal of Inequalities and Applications, 2017
In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is ( k + 3 / 2 ) $(k+3/2)$ th-order superconvergent to a particular projection ...
Hui Bi, Chengeng Qian
doaj   +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

Apply implicitly restarted Arnoldi method to solving eigenvalue problem and reducing dimensionality in neutron diffusion

He jishu
国防科工局核能开发科研项目（cosSYST等热工水力计算分析软件的自主化研发与示范应用 ...
XIANG Zhaocai, CHEN Qiafeng, ZHAO Pengcheng, ZHANG Qinghang   +3 more
doaj   +1 more source

The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations

Complexity, 2020
In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions.
Rongpei Zhang, Jia Liu, Shaohua Jiang, Di Wang   +3 more
doaj   +1 more source

A local projection stabilization/continuous Galerkin–Petrov method for incompressible flow problems

Applied Mathematics and Computation, 2018
The local projection stabilization (LPS) method in space is consid-ered to approximate the evolutionary Oseen equations. Optimal error bounds independent of the viscosity parameter are obtained in the continuous-in-time case for the approximations of both velocity and pressure.
Ahmed, Naveed, John, Volker, Matthies, Gunar, Novo, Julia   +3 more
openaire   +4 more sources

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

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

On Multiscale Methods in Petrov-Galerkin formulation [PDF]

, 2014
In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel, Ginting, Victor, Henning, Patrick   +2 more
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