[PDF] Top 20 Stability, instability, and error of the force based quasicontinuum approximation
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Stability, instability, and error of the force based quasicontinuum approximation
... the force-based equilibrium equations about a uniform ...modeling error due to the QCF approximation itself and do not consider the coarsening ...QCF approximation and will be discussed ... See full document
24
Analysis of the energy balance closure over a FLUXNET boreal forest in Finland
... of error for this imbalance, in the following sections we analyse its diurnal evolution, the effect of the friction velocity and stability/instability atmospheric conditions, the influence of the ... See full document
11
Iterative methods for the force based quasicontinuum approximation : analysis of a 1D model problem
... ghost force correction iteration (GFC) which is given by the preconditioner P = L qce F , and we show that the GFC itera- tion ceases to be a contraction for any norm at strains less than the critical ...the ... See full document
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Linear stationary iterative methods for the force based quasicontinuum approximation
... the stability of the atomistic system ...an instability at a reduced strain in our benchmark tests [18] (see also ...the stability of the GFC ... See full document
34
A priori error estimates for energy based quasicontinuum approximations of a periodic chain
... Finally, we point out the first-order consistency term in the interface region for the QNL method. The origin of this term is, in essence, the loss of symmetry that is introduced by changing the interaction law at the ... See full document
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Theory based benchmarking of the blended force based quasicontinuum method
... more approximation parameters and potentially more fluctuations in the ...the stability, and we therefore expect that our stability results will remain valid for any ... See full document
26
A priori error analysis of two force based atomistic/continuum models of a periodic chain
... priori error analysis for two force-based atomistic/con- tinuum hybrid methods: the force-based quasicontinuum (QCF) method and a new stress-based atomistic/continuum ... See full document
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The spectrum of the force based quasicontinuum operator for a homogeneous periodic chain
... We note, moreover, that we were able to construct a matrix of eigenvectors for the linearized QCF operator whose condition number is bounded uniformly in the number of atoms and the size of the atomistic region. This ... See full document
23
Positive definiteness of the blended force based quasicontinuum method
... the quasicontinuum model (denoted QCE [38]), exhibit spurious interfacial forces (“ghost forces”) even under uniform strain [8, ...ghost force on the error in computing the deformation and the ... See full document
24
Sharp stability estimates for the force based quasicontinuum approximation of homogeneous tensile deformation
... The quasicontinuum (QC) method, one such atomistic-to-continuum coupling scheme, models the continuum region by constructing an energy density that equals the atomistic energy density for any uniform strain (the ... See full document
22
Adaptive Central Force Optimization Algorithm Based on the Stability Analysis
... CFO solves problem (1) based on the movement of probes through the decision space (DS) along trajectories computa- tion by utilizing the gravitational analogy. The DS is defined by Ω = {(𝑥 1 , 𝑥 2 , . . . , 𝑥 𝑁 𝑑 ... See full document
11
Formulation and optimization of the energy based blended quasicontinuum method
... energy-based quasicontinuum method (QCE) [14], Shapeev’s method [19], and GR-AC [6, 18, 21] exhibit an abrupt transition between the atomistic and continuum ... See full document
14
Generalised quasilinear approximation of the helical magnetorotational instability
... Of course, this is not to imply that quasilinear DSS (i.e. CE2) is universally applicable; there are a number of examples of inconsistencies with fully nonlinear DNS (NL DNS), evident for example in out-of-equilibrium ... See full document
18
Integration Scheme for SINS/GPS System Based on Vertical Channel Decomposition and In-Motion Alignment
... channel instability play an important role in the strap- down inertial navigation system (SINS), especially in the case that precise navigation has to be achieved over long periods of ...misalignment error ... See full document
10
The Synthesis of Human-Error Analysis Using the Cognitive Reliability and Error Analysis Method and Fault-Tree Analysis
... human error during the continuous operation of a rectification system that causes instantaneous and continuous releases of a fluid ...human error cannot be lowered indefinitely ... See full document
20
Exchanged Nonlinear Third Order Differential Equation Ordinary Differential Equation
... asymptotical stability and bounded ness of solution or 3rd order nonlinear differential ...solutions; stability, instability, asymptotically stability, exponentially stability of ... See full document
5
On error formulas for approximation by sums of univariate functions
... In some applications, one may be interested in computational techniques for the er- ror of approximation. Diliberto and Straus [6] were the first to establish a formula for E( f ,R), where R is a rectangle with ... See full document
11
Prognostic value of the combination of microsatellite instability and <em>BRAF</em> mutation in colorectal cancer
... Abbreviations: Msi, microsatellite instability; geO, gene expression Omnibus; TCga, The Cancer genome atlas; Msimut, microsatellite instability and BRAF mutation; Msiwt, microsatelli[r] ... See full document
19
Support Vector Machine Soft Margin Classifiers: Error Analysis
... error or stability analysis (e.g. Vapnik, 1998; Bousquet and Ellisseeff, 2002; Zhang, 2004), and some other advanced empirical process techniques such as the local Rademacher averages (van der Vaart and ... See full document
33
The Effects of Ability Grouping on Gifted & Talented Third, Fourth, and Fifth Grade Students in Selected South Carolina Public School Districts
... Compact microfluidic systems (or lab-on-a-chip system, Micro Total Analysis System (lTAS)) can be used to manipulate and separate biological particles. These compact microfluidic systems nowadays are of wide interest in ... See full document
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