Stability estimates for h-p spectral element methods for elliptic problems

DOI10.1007/BF02829693zbMath1016.65077OpenAlexW1990054338MaRDI QIDQ1860623

B. V. Ratish Kumar, Satyendra Tomar, Pravir K. Dutt

Publication date: 13 August 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829693

zbMATH Keywords

Poisson's equationstability estimates\(h-p\) spectral element methodserror estimates obtained

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Nonconforming \(h\)-\(p\) spectral element methods for elliptic problems ⋮ \(h\)-\(p\) spectral element method for elliptic problems on nonsmooth domains using parallel computers ⋮ Spectral element methods for parabolic problems ⋮ Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ Exponentially accurate spectral element method for fourth order elliptic problems ⋮ Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains ⋮ \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains ⋮ Preconditioners for spectral element methods for elliptic and parabolic problems ⋮ \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains. I: Regularity estimates and stability theorem

Cites Work

• Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains
• Spectral Methods for Initial Boundary Value Problems—An Alternative Approach
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
• The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
• Spectral methods for hyperbolic initial boundary value problems on parallel computers
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