Results 1 to 10 of about 81,423 (165)
A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian [PDF]
SIAM Journal on Control and Optimization, 2019 We design and analyze solution techniques for a linear-quadratic optimal control problem involving the integral fractional Laplacian. We derive existence and uniqueness results, first order optimality conditions, and regularity estimates for the optimal variables.
Enrique Otárola +2 more
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A note on a priori error estimates for augmented mixed methods
Applied Mathematics Letters, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rommel Bustinza +2 more
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A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation
Sultan Qaboos University Journal for Science, 2015 A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method ...
Samir Karaa
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Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type.
A. Safari-Hafshejani
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A priori error estimates of regularized elliptic problems [PDF]
Numerische Mathematik, 2020 AbstractApproximations of the Dirac delta distribution are commonly used to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. In this work we show a-priori rates of convergence of this approximation process in standard Sobolev norms, with minimal regularity assumptions on the approximation of the ...
Heltai, Luca, Lei, Wenyu
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On the fully discrete approximations of the MGT two-temperatures thermoelastic problem
Archives of Mechanics, 2022 We consider a one-dimensional two-temperatures thermoelastic model. The corresponding variational problem leads to a coupled system which is written in terms of the mechanical velocity, the temperature speed and the inductive temperature.
J. Baldonedo +2 more
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Optimal $$L^2$$ A Priori Error Estimates for the Biot System [PDF]
La Matematica, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Girault, Vivette +2 more
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Quasi-A Priori Truncation Error Estimation in the DGSEM [PDF]
Journal of Scientific Computing, 2014 In this paper we show how to accurately perform a quasi-a priori estimation of the truncation error of steady-state solutions computed by a discontinuous Galerkin spectral element method. We estimate the spatial truncation error using the ?-estimation procedure.
Rubio Calzado, Gonzalo +3 more
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Quasistatic Porous-Thermoelastic Problems: An a Priori Error Analysis
Mathematics, 2021 In this paper, we deal with the numerical approximation of some porous-thermoelastic problems. Since the inertial effects are assumed to be negligible, the resulting motion equations are quasistatic.
Jacobo Baldonedo +2 more
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The Surrogate Matrix Methodology: A Priori Error Estimation [PDF]
SIAM Journal on Scientific Computing, 2019 We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the piece-wise smooth approximation of the matrices involved in a standard finite element discretization ...
Drzisga, Daniel +2 more
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