Results 1 to 10 of about 544,451 (198)
A priori error estimates for Lagrange interpolation on triangles [PDF]
Applications of Mathematics, 2014 We present the error analysis of Lagrange interpolation on triangles. A new a priori error estimate is derived in which the bound is expressed in terms of the diameter and circumradius of a triangle.
Kenta Kobayashi, Takuya Tsuchiya
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Quasi-A Priori Truncation Error Estimation in the DGSEM [PDF]
Journal of Scientific Computing, 2015 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.
G. Rubio +3 more
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A priori error estimate of a multiscale finite element method for transport modeling [PDF]
SeMA Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Franck Ouaki +3 more
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A priori error estimates for a state-constrained elliptic optimal control problem [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2012 We examine an elliptic optimal control problem with control and state constraints in R 3 . An improved error estimate of O(h s )w ith 3 ≤ s ≤ 1−e is proven for a discretisation involving piecewise constant functions for the control and piecewise linear for the state. The derived order of convergence is illustrated by a numerical example.
A. Rösch, S. Steinig
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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.
T. Barrios +2 more
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A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems [PDF]
Communications of the American Mathematical Society, 2021 This paper analyzes the generalization error of two-layer neural networks for computing the ground state of the Schrödinger operator on a d d -dimensional hypercube with Neumann boundary condition.
Jianfeng Lu, Yulong Lu
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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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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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Entropy, 2021 In this paper, the streamline upwind/Petrov Galerkin (SUPG) stabilized virtual element method (VEM) for optimal control problem governed by a convection dominated diffusion equation is investigated.
Qiming Wang, Zhaojie Zhou
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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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