Results 61 to 70 of about 19,699 (306)

An adaptive finite element approximation of a generalized Amrosio-Tortorelli functional [PDF]

, 2012
The Francfort–Marigo model of brittle fracture is posed in terms of the minimization of a highly irregular energy functional. A successful method for discretizing the model is to work with an approximation of the energy.
Ortner, C., Christoph Ortner, Burke, S., Burke, S, Sueli, E, Süli, E, Ortner, Christoph, Ortner, C, Siobhan Burke, Süli, Endre, Endre Süli, Burke, Siobhan   +11 more
core   +1 more source

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Global minimization of constrained problems with discontinuous penalty functions [PDF]

, 1999
With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems.
Zhang, Liansheng, Zheng, Quan
core   +1 more source

Regularized gradient-projection methods for finding the minimum-norm solution of the constrained convex minimization problem

Journal of Inequalities and Applications, 2017
Let H be a real Hilbert space and C be a nonempty closed convex subset of H. Assume that g is a real-valued convex function and the gradient ∇g is 1 L $\frac{1}{L}$ -ism with L > 0 $L>0$ .
Ming Tian, Hui-Fang Zhang
doaj   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

Advanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang, Adrian Ehrenhofer, Thomas Wallmersperger   +2 more
wiley   +1 more source

Ontology‐Aligned Structuring and Reuse of Multimodal Materials Data and Workflows Toward Automatic Reproduction

Advanced Engineering Materials, EarlyView.
Reproduction of stacking fault energy calculations from literature with a semi‐automated large language model‐assisted extraction procedure: extraction of simulation protocol, atomistic structures, computational parameters, and reported results, ontology alignment, knowledge graph construction and, finally, recomputation forvalidation.
Sepideh Baghaee Ravari, Abril Azocar Guzman, Sarath Menon, Stefan Sandfeld, Tilmann Hickel, Markus Stricker   +5 more
wiley   +1 more source

Single and Multiobjective Optimal Reactive Power Dispatch Based on Hybrid Artificial Physics–Particle Swarm Optimization

Energies, 2019
The optimal reactive power dispatch (ORPD) problem represents a noncontinuous, nonlinear, highly constrained optimization problem that has recently attracted wide research investigation.
Tawfiq M. Aljohani, Ahmed F. Ebrahim, Osama Mohammed   +2 more
doaj   +1 more source

Numerical Analysis of a Constrained Strain Energy Minimization Problem

SIAM Journal on Scientific Computing
We consider a setting in which an evolving surface is implicitly characterized as the zero level of a level set function. Such an implicit surface does not encode any information about the path of a single point on the evolving surface. In the literature different approaches for determining a velocity that induces corresponding paths of points on the ...
Arnold Reusken, Tilman Aleman
openaire   +3 more sources

Modeling Dislocation Cutting of γ′ Precipitates in Ni‐Base Superalloys: Linking Atomistic and Dislocation Dynamics Simulations

Advanced Engineering Materials, EarlyView.
Dislocation cutting of γ′ precipitates in Ni‐based superalloys is investigated by linking atomistic simulations with discrete dislocation dynamics. The critical cutting stress is shown to be governed by the antiphase boundary energy, while line tension effects promote edge‐preferred cutting.
Frédéric Houllé, Siwen Gao, Marc Fivel, Anxin Ma, Daria Smirnova, Sriram Anand, Arun Prakash, Julien Guénolé, Alexander Hartmaier, Erik Bitzek   +9 more
wiley   +1 more source

An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision [PDF]

, 2004
Minimum cut/maximum flow algorithms on graphs have emerged as an increasingly useful tool for exactor approximate energy minimization in low-level vision.
Yuri Boykov, Kolmogorov, V., Vladimir Kolmogorov, Boykov, Y.   +3 more
core