Results 51 to 60 of about 14,149,159 (279)

Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems

International Journal of Mathematics and Mathematical Sciences, 2009
We study the strong superconvergence of a semidiscrete finite element scheme for linear parabolic problems on 𝑄=Ω×(0,𝑇], where Ω is a bounded domain in ℛ𝑑(𝑑≤4) with piecewise smooth boundary. We establish the global two order superconvergence results for
Kening Wang, Shuang Li
doaj   +1 more source

SoftFEM: The Soft Finite Element Method [PDF]

International Journal for Numerical Methods in Engineering, 2019
SummaryWhile the finite element method (FEM) has now reached full maturity both in academy and industry, its use in optimization pipelines remains either computationally intensive or cumbersome. In particular, currently used optimization schemes leveraging FEM still require the choice of dedicated optimization algorithms for a specific design problem ...
Peña Sánchez, José María, LaTorre de la Fuente, Antonio, Jérusalem, Antoine   +2 more
openaire   +4 more sources

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

Convergence of Adaptive Finite Element Methods [PDF]

SIAM Review, 2002
The authors consider the use of adaptive finite element methods. They construct an algorithm, which converges linearly and which does not involve preliminary mesh adaptation. They give the results of a number of numerical experiments and point out the possibilities associated with higher order elements and saddle point problems are also discussed.
Morin, Pedro, Nochetto, Ricardo Horacio, Siebert, Kunibert G.   +2 more
openaire   +3 more sources

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

Advanced Engineering Materials, EarlyView.
A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora, Tales V. Lisbôa, Axel Spickenheuer, Rogério J. Marczak, Jakson M. Vassoler   +4 more
wiley   +1 more source

Analytical mechanics methods in finite element analysis of multibody elastic system

Boundary Value Problems, 2023
The study of multibody systems with elastic elements involves at the moment the reevaluation of the classical methods of analysis offered by analytical mechanics.
Maria Luminita Scutaru, Sorin Vlase, Marin Marin   +2 more
doaj   +1 more source

An Adaptive Multiscale Finite Element Method [PDF]

Multiscale Modeling & Simulation, 2014
This work is devoted to an adaptive multiscale finite element method (MsFEM) for solving elliptic problems with rapidly oscillating coeefficients. Starting from a general version of the MsFEM with oversampling, we de- rive an a posteriori estimate for the H1-error between the exact solution of the problem and a corresponding MsFEM approximation.
Patrick Henning, Mario Ohlberger, Ben Schweizer   +2 more
openaire   +3 more sources

Thermodynamic Pathways of Nonequilibrium Solidification in Wire‐Arc Additive Manufacturing Fe‐Based Multicomponent Alloy Structures

Advanced Engineering Materials, EarlyView.
Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios, Anthony Gonzalez, Aleksander Aleman, Tyler Dolmetsch, Tanaji Paul, Arvind Agarwal   +5 more
wiley   +1 more source

Spectral Analysis of Large Finite Element Problems by Optimization Methods

Shock and Vibration, 1994
Recently an efficient method for the solution of the partial symmetric eigenproblem (DACG, deflated-accelerated conjugate gradient) was developed, based on the conjugate gradient (CG) minimization of successive Rayleigh quotients over deflated subspaces ...
Luca Bergamaschi, Giuseppe Gambolati, Giorgio Pini   +2 more
doaj   +1 more source

Approximation of noisy data using multivariate splines and finite element methods

Journal of Algorithms & Computational Technology, 2021
We compare a recently proposed multivariate spline based on mixed partial derivatives with two other standard splines for the scattered data smoothing problem. The splines are defined as the minimiser of a penalised least squares functional.
Bishnu P Lamichhane, Elizabeth Harris, Quoc Thong Le Gia   +2 more
doaj   +1 more source