Results 31 to 40 of about 307 (89)

Mixed Precision Augmented GMRES

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We aim to accelerate the restarted generalized minimal residual (GMRES) method for the solutions of linear systems by combining two types of techniques. On the one hand, mixed precision GMRES algorithms, which use lower precision in certain steps of the inner cycles, offer significant reductions in computational and memory costs.
Yongseok Jang, Pierre Jolivet, Théo Mary   +2 more
wiley   +1 more source

Free Vibrations of Anisotropic Nano-Objects with Rounded or Sharp Corners

Nanomaterials, 2021
An extension of the Rayleigh–Ritz variational method to objects with superquadric and superellipsoid shapes and cylinders with cross-sections delimited by a superellipse is presented.
Lucien Saviot
doaj   +1 more source

Deep Learning‐Based Phase‐Field Modelling of Brittle Fracture in Anisotropic Media

International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.
ABSTRACT This work presents a variational physics‐informed deep learning framework for phase‐field modelling of brittle crack propagation in anisotropic media. Previous variational energy‐based neural network (NN) approaches have focused on second‐order, isotropic phase‐field fracture formulations and have relied on fully connected NNs.
Nojus Plungė, Peter Brommer, Rachel S. Edwards, Emmanouil G. Kakouris   +3 more
wiley   +1 more source

An acoustic modeling of the three-dimensional annular segment cavity with various impedance boundary conditions

Results in Physics, 2018
A three-dimensional Fourier series method (3D-FSM) is applied to study the acoustic characteristics of annular segment acoustic cavity with various impedance boundary conditions.
Yujie Xiao, Dong Shao, Hong Zhang, Cijun Shuai, Qingshan Wang   +4 more
doaj   +1 more source

Experimental Modal Analysis‐Driven Gaussian Process Regression Modeling of Rectangular Steel Beams With Various Hole Geometries

International Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 327-343, June 2026.
ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee, Majid Rajaei, Mohammad Hossein Mahdavi Nasab, Parsa Shafiei   +3 more
wiley   +1 more source

Determining the Character of Subglacial Sediments in the Ice‐Bedrock Interface Zone of Antarctica Using Horizontal‐to‐Vertical Spectral Ratios (HVSRs) of Seismic Ambient Noise

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 6, June 2026.
Abstract Interactions between the Antarctic Ice Sheet and the underlying solid Earth occur within the ice‐bedrock interface zone (IBIZ), containing structures of sediments and rocks that strongly influence ice sheet dynamics. Existing insights into the Antarctic IBIZ come primarily from interpretations of airborne geophysical data and active seismic ...
I. D. Kelly, A. M. Reading, T. Stål, B. Kulessa, A. García‐Jerez, J. Piña‐Flores, E. Paolucci, A. Tanzini, R. J. Turner, J. C. Magyar, A. P. Bassom   +10 more
wiley   +1 more source

Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers

Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.
ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
wiley   +1 more source

A semi-analytical method for dynamic analysis of a rectangular plate with general boundary conditions based on FSDT

Reviews on Advanced Materials Science, 2022
In this paper, the unified Jacobi–Ritz method (JRM) is utilized to analyze the dynamic response of rectangular plates with general boundary conditions.
Jia Di, Gao Cong, Yang Yuliang, Pang Fuzhen, Li Haichao, Du Yuan   +5 more
doaj   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Traveling wave analysis of rotating functionally graded graphene platelet reinforced nanocomposite cylindrical shells with general boundary conditions

Results in Physics, 2019
This paper studies traveling wave motions of rotating multi-layered functionally graded graphene platelet reinforced composite (FG-GPLRC) cylindrical shell under general boundary conditions.
Zhaoye Qin, Babak Safaei, Xuejia Pang, Fulei Chu   +3 more
doaj   +1 more source