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.
Marta D'Elia +2 more
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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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A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems
Tikrit Journal of Pure Science, 2022 In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
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A priori error estimates for Lagrange interpolation on triangles [PDF]
Applications of Mathematics, 2015 15 pages, 2 figures To appear in Applications of ...
Kobayashi, Kenta, Tsuchiya, Takuya
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