Results 11 to 20 of about 401,417 (282)
Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
SIAM Journal on Numerical Analysis, 2006 The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Anders Logg +8 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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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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Advances in Difference Equations, 2019 In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality.
Jian Li, Haibiao Zheng, Qingsong Zou
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AIMS Mathematics, 2021 This paper discusses some a priori error estimates of bilinear elliptic optimal control problems based on the finite volume element approximation. A case-based numerical example serves to discuss with optimal $ L^2 $-norm error estimates and $ L^{\infty}
Zuliang Lu +5 more
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A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices [PDF]
, 2012 In this paper we prove a priori and a posteriori error estimates for a multiscale numerical method for computing equilibria of multilattices under an external force. The error estimates are derived in a $W^{1,\infty}$ norm in one space dimension.
Abdulle, Assyr +2 more
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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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