A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation.

DOI10.1007/s10492-016-0120-3zbMath1399.65327OpenAlexW2289941312MaRDI QIDQ265147

Xinlong Feng, Xiaohui Hu, Pengzhan Huang

Publication date: 1 April 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144810

zbMATH Keywords

Burgers' equationinf-sup conditionCrank-Nicolson schememixed finite element methodstable conforming finite element

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Extrapolation to the limit, deferred corrections (65B05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (max. 100)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ High order semi-implicit weighted compact nonlinear scheme for viscous Burgers' equations ⋮ Numerical solution of Burgers' equation based on mixed finite volume element methods ⋮ Semi-discrete and fully discrete HDG methods for Burgers' equation ⋮ Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions ⋮ The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data ⋮ Superconvergence analysis of a nonconforming MFEM for nonlinear Schrödinger equation

Uses Software

• FreeFem++

Cites Work

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