Results 81 to 90 of about 1,784,243 (270)
Mathematics, 2019 We study an iterative differential-difference method for solving nonlinear least squares problems, which uses, instead of the Jacobian, the sum of derivative of differentiable parts of operator and divided difference of nondifferentiable parts. Moreover,
Ioannis Argyros +2 more
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A generalization of order convergence
, 2019 Let $E$ be a sublattice of a vector lattice $F$. $\left( x_ \right)\subseteq E$ is said to be $ F $-order convergent to a vector $ x $ (in symbols $ x_ \xrightarrow{Fo} x $), whenever there exists another net $ \left(y_ \right) $ in $F $ with the some index set satisfying $ y_ \downarrow 0 $ in $F$ and $ | x_ - x | \leq y_ $ for all indexes $ $.
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Two-Scale Convergence of First-Order Operators
Zeitschrift für Analysis und ihre Anwendungen, 2007 Nguetseng's notion of it two-scale convergence and some of its main properties are first shortly reviewed. The (weak) two-scale limit of the gradient of bounded sequences of W^{1,p}(\mathbb R^N) is then ...
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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
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On Generalized Statistical Convergence of Order of Difference Sequences
Journal of Function Spaces and Applications, 2013 We introduce the concept of statistical convergence of order of difference sequences, and we give some relations between the set of statistical convergence of order of difference sequences and strong -summability of order .
Mikail Et +2 more
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Mathematics, 2019 In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that one element of this family has order
Alicia Cordero +3 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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Eigenvalue homogenization for quasilinear elliptic equations with various boundary conditions
Electronic Journal of Differential Equations, 2016 We study the rate of convergence for (variational) eigenvalues of several non-linear problems involving oscillating weights and subject to several types of boundary conditions in bounded domains.
Julian Fernandez Bonder +2 more
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Higher-Order Iteration Schemes for Solving Nonlinear Systems of Equations
Mathematics, 2019 We present a three-step family of iterative methods to solve systems of nonlinear equations. This family is a generalization of the well-known fourth-order King’s family to the multidimensional case.
Hessah Faihan Alqahtani +2 more
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A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials
Advanced Engineering Materials, EarlyView.This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline +2 more
wiley +1 more source