Results 61 to 70 of about 116,401 (264)
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 +2 more
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Evaluating Energy Absorption Performance of Filled Lattice Structures
Advanced Engineering Materials, EarlyView.Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
wiley +1 more source
Acta NumericaCut finite element methods (CutFEM) extend the standard finite element method to unfitted meshes, enabling the accurate resolution of domain boundaries and interfaces without requiring the mesh to conform to them. This approach preserves the key properties and accuracy of the standard method while addressing challenges posed by complex geometries and ...
Erik Burman +3 more
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An Optimal Adaptive Finite Element Method [PDF]
SIAM Journal on Numerical Analysis, 2005 The Dirichlet problem in a polygonal domain \(\Omega\) in \({\mathbb R}^2\) for a second-order elliptic equation with disconinuous coefficients is considered. The finite element methods on triangulations of \(\bar\Omega \) are investigated and the main purpose of the paper is to generalize some published results dealing with convergence analysis of ...
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Advanced Engineering Materials, EarlyView.Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
wiley +1 more source
Numerical approximation for a degenerate parabolic-elliptic system modeling flows in porous media
Electronic Journal of Differential Equations, 2012 We present a numerical scheme for the approximation of the system of partial differential equations of the Peaceman model for the miscible displacement of one fluid by another in a two dimensional porous medium.
Rabah-Hacene Bellout
doaj
Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems
Abstract and Applied Analysis, 2014 The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
doaj +1 more source
On Convex Functions and the Finite Element Method [PDF]
SIAM Journal on Numerical Analysis, 2009 Many problems of theoretical and practical interest involve finding a convex or concave function. For instance, optimization problems such as finding the projection on the convex functions in $H^k(Ω)$, or some problems in economics. In the continuous setting and assuming smoothness, the convexity constraints may be given locally by asking the Hessian ...
Aguilera, Néstor Edgardo, Morin, Pedro
openaire +3 more sources
Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley +1 more source