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Applicable Analysis
An International Journal
Volume 42, 1991 - Issue 1-4
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Original Articles

Polynomial approximation of some singular functions

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Pages 1-32 | Received 05 Oct 1990, Published online: 10 May 2007

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Mejdi Azaïez, Faker Ben Belgacem & Hicham Khallouf. (1999) Méthodes d'éléments spectraux pour des problèmes hybrides duaux de second ordre axisymétriques. Revue Européenne des Éléments Finis 8:8, pages 821-846.
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M. Amara, C. Bernardi & M.A. Moussaoiu. (1992) Handling corner singularities by the mortar spectral element method. Applicable Analysis 46:1-2, pages 25-44.
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Articles from other publishers (26)

Yvon Maday & Carlo Marcati. (2023) Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. Mathematical Models and Methods in Applied Sciences 33:13, pages 2657-2701.
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Mohamed Abdelwahed, Azhar Al Salam & Nejmeddine Chorfi. (2018) Solving the singular two-dimensional fourth order problem by the mortar spectral element method. Boundary Value Problems 2018:1.
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Jianwei Zhou, Danping Yang & Yujie Liu. (2017) A-Posteriori Error Estimates for Uniform p -Version Finite Element Methods in Square . Advances in Applied Mathematics and Mechanics 9:2, pages 272-281.
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Daniel Baffet & Jan S. Hesthaven. (2015) High-Order Accurate Local Schemes for Fractional Differential Equations. Journal of Scientific Computing 70:1, pages 355-385.
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Nejmeddine Chorfi. (2015) Mortar spectral element discretization of the Stokes problem in domain with corners. Boundary Value Problems 2015:1.
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Yvon Maday. (2014) h — P Finite element approximation for full-potential electronic structure calculations. Chinese Annals of Mathematics, Series B 35:1, pages 1-24.
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Yvon Maday. 2014. Partial Differential Equations: Theory, Control and Approximation. Partial Differential Equations: Theory, Control and Approximation 349 377 .
Christine Bernardi, Adel Blouza, Nejmeddine Chorfi & Nizar Kharrat. (2010) A penalty algorithm for the spectral element discretization of the Stokes problem. ESAIM: Mathematical Modelling and Numerical Analysis 45:2, pages 201-216.
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A. E. Løvgren, Y. Maday & E. M. Rønquist. 2011. Spectral and High Order Methods for Partial Differential Equations. Spectral and High Order Methods for Partial Differential Equations 441 448 .
JENS L. EFTANG & EINAR M. RØNQUIST. (2012) EVALUATION OF FLUX INTEGRAL OUTPUTS FOR THE REDUCED BASIS METHOD. Mathematical Models and Methods in Applied Sciences 20:03, pages 351-374.
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ALF EMIL LØVGREN, YVON MADAY & EINAR M. RØNQUIST. (2011) GLOBAL C 1 MAPS ON GENERAL DOMAINS . Mathematical Models and Methods in Applied Sciences 19:05, pages 803-832.
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John A. Evans, Yuri Bazilevs, Ivo Babuška & Thomas J.R. Hughes. (2009) n-Widths, sup–infs, and optimality ratios for the k-version of the isogeometric finite element method. Computer Methods in Applied Mechanics and Engineering 198:21-26, pages 1726-1741.
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Ben-Yu Guo, Jie Shen & Li-Lian Wang. (2006) Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials. Journal of Scientific Computing 27:1-3, pages 305-322.
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Alf Emil Løvgren, Yvon Maday & Einar M. Rønquist. (2006) A reduced basis element method for the steady Stokes problem. ESAIM: Mathematical Modelling and Numerical Analysis 40:3, pages 529-552.
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Christine Bernardi & Nejmeddine Chorfi. (2006) Spectral Discretization of the Vorticity, Velocity, and Pressure Formulation of the Stokes Problem. SIAM Journal on Numerical Analysis 44:2, pages 826-850.
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Yvon Maday & Einar M. Ronquist. (2004) The Reduced Basis Element Method: Application to a Thermal Fin Problem. SIAM Journal on Scientific Computing 26:1, pages 240-258.
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C. Bernardi, T. Chacon Rebollo, R. Lewandowski & F. Murat. (2002) A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization. SIAM Journal on Numerical Analysis 40:6, pages 2368-2394.
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O. Botella & R. Peyret. (2001) Computing singular solutions of the Navier–Stokes equations with the Chebyshev‐collocation method. International Journal for Numerical Methods in Fluids 36:2, pages 125-163.
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Christine Bernardi & Yvon Maday. 2001. Theory and Numerics of Differential Equations. Theory and Numerics of Differential Equations 1 57 .
Serge Nicaise. (2000) Jacobi Polynomials, Weighted Sobolev Spaces and Approximation Results of Some Singularities. Mathematische Nachrichten 213:1, pages 117-140.
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Christine Bernardi & Yvon Maday. 1997. Techniques of Scientific Computing (Part 2). Techniques of Scientific Computing (Part 2) 209 485 .
Giovanni Monegato. (1996) A stable Nyström interpolant for some Mellin convolution equations. Numerical Algorithms 11:1, pages 271-283.
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Christine Bernardi. (2009) Indicateurs d’erreur en $h-N$ version des éléments spectraux. ESAIM: Mathematical Modelling and Numerical Analysis 30:1, pages 1-38.
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Weimin Han & Søren Jensen. (1995) On the sharpness of 𝐿²-error estimates of 𝐻¹₀-projections onto subspaces of piecewise, high-order polynomials. Mathematics of Computation 64:209, pages 51-70.
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Christine Bernardi & Yvon Maday. (1992) Polynomial interpolation results in Sobolev spaces. Journal of Computational and Applied Mathematics 43:1-2, pages 53-80.
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Soren Jensen & Manil Suri. (1992) On the L2 error for the p-version of the finite element method over polygonal domains. Computer Methods in Applied Mechanics and Engineering 97:2, pages 233-243.
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