A one-grid-overlapped spectral multidomain method for the PDEs

DOI10.1016/0898-1221(93)90023-OzbMath0792.65094OpenAlexW2012125328MaRDI QIDQ1324352

V. Pereyra

Publication date: 31 July 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90023-o

zbMATH Keywords

domain decompositionBurgers equationdiscontinuous solutionsspectral methodsinterface conditionBurkley-Leverett equationChebyshev pseudospectral multidomain technique

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

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• The Chebyshev multidomain approach to stiff problems in fluid mechanics
• A pseudospectral matrix element method for solution of three-dimensional incompressible flows and its parallel implementation
• Computation of Hyperbolic Equations on Complicated Domains with Patched and Overset Chebyshev Grids
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• On a quasi-linear parabolic equation occurring in aerodynamics

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