The superconvergence of mixed finite element methods for nonlinear hyperbolic equations

DOI10.1016/S1007-5704(98)90006-5zbMath0918.65068OpenAlexW2087308038MaRDI QIDQ1288581

Yanping Chen, Yunqing Huang

Publication date: 17 August 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(98)90006-5

zbMATH Keywords

error estimatesmixed finite element methodssuperconvergencesecond-order nonlinear hyperbolic equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Super-convergence and post-processing for mixed finite element approximations of the wave equation ⋮ Splitting positive definite mixed element methods for pseudo-hyperbolic equations ⋮ A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term ⋮ Splitting positive definite mixed element method for viscoelasticity wave equation

Cites Work

• A priori estimates for mixed finite element methods for the wave equation
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• $L^\infty $-Error Estimates for Mixed Methods for Semilinear Second-Order Elliptic Equations
• Improved error estimates for mixed finite‐element approximations for nonlinear parabolic equations: The continuous‐time case
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