A higher-order finite element approach to the Kuramoto-Sivashinsky equation

DOI10.1002/zamm.201200017zbMath1250.65116OpenAlexW2068613288MaRDI QIDQ2911115

Denis Anders, M. Dittmann, Kerstin Weinberg

Publication date: 12 September 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201200017

zbMATH Keywords

numerical examplesKuramoto-Sivashinsky equationspatio-temporal chaosB-splinefinite element techniques

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (9)

Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind ⋮ Crosspoint modification for multi-patch isogeometric analysis ⋮ Robust Stackelberg controllability for the Kuramoto-Sivashinsky equation ⋮ Isogeometric analysis and hierarchical refinement for higher-order phase-field models ⋮ Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines ⋮ Unnamed Item ⋮ A Higher Order Finite Difference Method for Numerical Solution of the Kuramoto–Sivashinsky Equation ⋮ On Green's function-based time stepping for semilinear initial-boundary value problems ⋮ The solution of the general Kuramoto-Sivashinsky equation using the compact method in conjunction with the ETD (1,3)-Padé scheme

Cites Work

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• The Numerical Evaluation of B-Splines

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