Ultraconvergence for averaging discontinuous finite elements and its applications in Hamiltonian system

DOI10.1007/S10483-011-1471-8zbMath1239.70014OpenAlexW2091486859MaRDI QIDQ414163

Can-hua Li, Chuan-miao Chen

Publication date: 10 May 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1471-8

Mathematics Subject Classification ID

Hamilton's equations (70H05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Unnamed Item ⋮ The highest superconvergence analysis of ADG method for two point boundary values problem

Cites Work

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• Galerkin finite element methods for parabolic problems
• Energy conservation and symplectic properties of continuous finite element methods for Hamiltonian systems
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems
• Continuous Finite Elements in Space and Time for the Heat Equation
• Discontinuous Galerkin Methods for Ordinary Differential Equations
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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