Results 11 to 20 of about 471,184 (284)
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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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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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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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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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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A priori error estimates for a linearized fracture control problem [PDF]
Optimization and Engineering, 2020 AbstractA control problem for a linearized time-discrete regularized fracture propagation process is considered. The discretization of the problem is done using a conforming finite element method. In contrast to many works on discretization of PDE constrained optimization problems, the particular setting has to cope with the fact that the linearized ...
Mohammadi, Masoumeh, Wollner, Winnifried
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A new mixed discontinuous Galerkin method for the electrostatic field
Advances in Difference Equations, 2019 We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size.
Abdelhamid Zaghdani, Mohamed Ezzat
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AIMS Mathematics, 2021 In this paper we investigate the finite element approximation of time fractional optimal control problem with integral state constraint. A space-time finite element scheme for the control problem is developed with piecewise constant time discretization ...
Jie Liu, Zhaojie Zhou
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Bayesian updating: increasing sample size during the course of a study
BMC Medical Research Methodology, 2021 Background A priori sample size calculation requires an a priori estimate of the size of the effect. An incorrect estimate may result in a sample size that is too low to detect effects or that is unnecessarily high. An alternative to a priori sample size
Mirjam Moerbeek
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Estimation of channel MSE for ATSC 3.0 receiver and its applications
ICT Express, 2022 In this paper, we propose a method to estimate the mean square error (MSE) of the estimated channel for ATSC (Advanced Television Systems Committee) 3.0 systems.
Yu-Sun Liu +2 more
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