Results 11 to 20 of about 123,466,522 (150)
Explicit error bounds for the α-quasi-periodic Helmholtz problem [PDF]
, 2013 This paper considers a finite element approach to modeling electromagnetic waves in a periodic diffraction grating. In particular, an a priori error estimate associated with the α-quasi-periodic transformation is derived.
Mulholland, Anthony J., Lord, Natacha H.
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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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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 Estimate of a Multiscale Finite Element Method for Transport Modeling [PDF]
, 2015 International audienceThis work proposes an \textit{a priori} error estimate of a multiscale finite element method to solve convection-diffusion problems where both velocity and diffusion coefficient exhibit strong variations at a scale which is much ...
Ouaki, Franck +3 more
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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., 122 (2017), pp. 14--38]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the piecewise smooth approximation of the matrices involved in a standard finite element
Drzisga, Daniel +2 more
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A priori error analysis of virtual element method for contact problem
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
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Numerical Simulation for Brinkman System with Varied Permeability Tensor
Mathematics, 2022 The aim of this paper is to study a stationary Brinkman problem in an anisotropic porous medium by using a mini-element method with a general boundary condition. One of the important aspects of the P1−Bubble/P1 method is satisfying the inf-sup condition,
Lahcen El Ouadefli +6 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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Numerical resolution of the wave equation using the spectral method
Boundary Value Problems, 2022 We present a new procedure for the numerical study of the wave equation. We use the spectral discretization method associated with the Euler scheme for spatial and temporal discretization. A detailed numerical analysis leads to an a priori error estimate.
Mohamed Abdelwahed, Nejmeddine Chorfi
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