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The a posteriori error estimates of Chebyshev–Petrov–Galerkin ...


The a posteriori error estimates of Chebyshev–Petrov–Galerkin ...

e ., the reliable property holds. In the following part, we are going to investigate the lower bound property of ...

The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral ...

Request PDF | The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension | In this paper, the Chebyshev-Galerkin spectral ...

The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral ...

The a Posteriori Error Estimates for Chebyshev-Galerkin. Spectral Methods in One Dimension. Jianwei Zhou∗. Department of Mathematics, Linyi University ...

The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral ...

Meanwhile, p p -version finite element methods with Chebyshev polynomials are utilized to solve Poisson equations. The efficient and reliable a posteriori error ...

A posteriori error approximation in discontinuous Galerkin method ...

A posteriori error estimation in terms of the energy norm has also been considered in the interior penalty DG method to solve an elliptic ...

A-posteriori error estimations of the GJF-Petrov–Galerkin methods ...

Request PDF | A-posteriori error estimations of the GJF-Petrov–Galerkin methods for fractional differential equations | In this paper, ...

A Legendre and Chebyshev dual-Petrov–Galerkin method for

We then use these new approximation results to derive, in Section 5, error estimates for the Legendre and Chebyshev spectral dual-Petrov–Galerkin methods. We ...

Petrov--Galerkin Method for the Korteweg--de Vries Equation

The nonlinear term is computed with the Legendre spectral method and some pseudospectral methods, respectively. Optimal error estimates in L2 -norm are obtained ...

A Posteriori Error Estimates of Spectral Approximations for Second ...

In this paper, we investigate a posteriori error estimates of the Galerkin spectral methods for second-order equations, and propose a simple type of error ...

A Fast Petrov--Galerkin Spectral Method for the Multidimensional ...

In this paper, a robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation is presented. Upper and ...

A priori and a posteriori error estimates of a space–time Petrov ...

And then the convergence of the proposed method is proved by establishing an a priori error estimate. Specifically, an efficient and reliable a posteriori error ...

Error estimates of spectral Legendre-Galerkin methods for the fourth ...

By orthogonal properties of Legendre polynomials, we obtain an explicit a posteriori error indicator for spectral Legendre-Galerkin methods.

a posteriori error estimates for the stokes problem with singular ...

Maday, Generalized inf-sup conditions for Chebyshev spec- tral ... Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpola-.

Optimal Error Estimates of the Legendre Tau Method for Second ...

El-Daou, M.K.: A posteriori error bounds for ... Petrov-Galerkin and Chebyshev collocation method for third-order differential equations.

Sharp error estimates of a spectral Galerkin method for a diffusion ...

... posteriori error estimates of a space-time Petrov ... 2019: High accuracy error estimates of a Galerkin ... 2020: Fast Fourier-like Mapped Chebyshev Spectral- ...

A Posteriori Error Estimates of Spectral Approximations for Second ...

In this paper, we investigate a posteriori error estimates of the Galerkin spectral methods for second-order equations, and propose a simple type of.

Error estimates of spectral element methods with generalized Jacobi ...

Shen, A new dual-Petrov–Galerkin method for third ... Szegö; Zhou, An improved a posteriori error estimate for the Galerkin spectral method in one dimension, ...

A priori and a posteriori error estimates of a DG-CG method ... - arXiv

A posteriori error estimates are well established for elliptic problems and a considerable amount of work is available for parabolic problems as well; on the ...

[PDF] A posteriori error estimates for the coupling equations of ...

Discontinuous Petrov-Galerkin and Bernstein ... problem. The proof of the error… Expand ... Galerkin procedure and the use of strong stability estimates.

Analysis of Chebyshev Pseudospectral Method for Multi ...

Analysis of Chebyshev ... Chebyshev pseudospectral method,; error estimate. FullText(HTML). References (15) ... Petrov-Galerkin Least Squares Mixed Element ...