a-priori error model
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state
... Our presentation is structured as follows: In Section 2 we will define the model problem, followed by a description of the discretization in Section 3. The a priori error estimates will be ...
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes
... The numerical experiments reported below confirm that the bound (3) is realistic and may therefore be assumed for a robust a priori error analysis. It may, however, be difficult to prove (3) rigorously in ...
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On the sensitivity of the POD technique for a parameterized quasi-nonlinear parabolic equation
... order model of fixed dimension with respect to parametric variation, but also to do an enrichement step of the ROM-dimension when necessary, thanks to an a priori indicator of the number of POD modes we ...
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A posteriori error control for a quasi continuum approximation of a periodic chain
... of model and mesh adaptivity for defect nucleation, but focus only on automatically choosing the size of the atomistic region and the finite element mesh in the continuum ...a priori where a defect will ...
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Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems
... In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem. Secondly, we bring ...
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A priori error analysis of stabilized mixed finite element method for reaction-diffusion optimal control problems
... This model problem plays an important role in many scientific and engineering appli- ...A priori error estimates of finite ele- ment approximations for optimal control problems governed by linear ...
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A priori error analysis of two force based atomistic/continuum models of a periodic chain
... a 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 (SAC) coupling ...the model ...
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Explicit Error Estimate for the Nonconforming Crouzeix-Raviart Finite Element
... A S a very effective numerical method of partial differ- ential equations, the finite element method (FEM) is widely applied to the engineering and scientific computation. Furthermore, it also has formed firm theoretical ...
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A priori error estimates for energy based quasicontinuum approximations of a periodic chain
... consistency error estimate for the QNL method can be found in ...quasicontinuum error was given by Dobson and Luskin 4 ...linearized model problem, which allowed an explicit calculation of the effect ...
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Numerical analysis of a relaxed variational model of hysteresis in two phase solids
... The paper and its main results are organized as follows. Section 2 provides a brief introduction into the variational model. The homogenization step from microstructure to a macroscopic description is performed in ...
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Error Estimations, Error Computations, and Convergence Rates in FEM for BVPs
... a priori estimates only hold in asymptotic range and their derivation in the currently published literature are only valid for self adjoint operators in GM/WF when functional B ( ) ⋅ ⋅ , is symmetric, thus GM/WF ...
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A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems
... a priori error estimates for the optimal control problems governed by elliptic equations using higher order variational discretization and mixed finite element ...A priori error estimates for ...
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Estimating the error correction model for Sudanese exchange rate
... and error correction that brought modeling of vector autoregressions with unit roots and cointegration to the center of attentionin applied and theoretical ...this model is least squares regression, Engle ...
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The Use of A Priori Information in Error-Control Coding
... forward error-correction (FEC) codes such as linear block codes [4], convolutional codes [5], turbo codes [6], low density parity check (LDPC) codes [7-9], and other coding techniques ...
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Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite dimensional realizations
... is the best possible worst error. Here the stabilizing set M is assumed to be convex such that M = − M with 0 ∈ M (see also, Va˘ınikko and Veretennikov [22]), and infimum is taken over all algorithms R : Y → X. ...
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Blackbox reduced-basis output bound methods for shape optimisation
... We consider this problem for constant conductivities k i = 1., i = 0, . . . , 4, and Biot number Bi= 0.001. We then select 100,000 points in the two dimensional design space [α, β] = [0.1, 0.5] × [2.0, 3.0] and evaluate ...
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Pubblicazione19.pdf IEM.pdf
... to error through misidentification to the issue of the internal perspective in connection with PRO (in cases of verbs like ‘remember’, ‘imagine’, ...to error through misi- dentification; (2) the internal ...
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Optimal control problem governed by a linear hyperbolic integro-differential equation and its finite element analysis
... For optimal control problems governed by classic linear PDEs such as elliptic, parabolic and hyperbolic equations, the existence and the optimality conditions are well known, see []. Furthermore their finite element ...
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Analysis of discontinuous Galerkin methods on surfaces
... where the velocity field w is purely tangential to the surface and divergence-free. The fluxes considered in Chapter 4 are used for the discretisation of the diffusion term and we use a “discrete surface” upwind flux to ...
155
Finite Element Analysis of the Ramberg Osgood Bar
... of perturbed convex variational problems in Sobolev spaces (see [7] for details.) We also prove that the solu- tion is bounded in certain Sobolev norms. In Section 3, we derive an error estimates for the ...
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