NonconformingH1-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equations

DOI10.1080/01630563.2013.809581zbMath1284.65138OpenAlexW1967347330MaRDI QIDQ5396935

Qi-li Tang, Dong-Yang Shi

Publication date: 4 February 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.809581

zbMATH Keywords

numerical resultssuperconvergencedamped wave equationnonconforming finite elements\(H^{1}\)-Galerkin mixed schemealmost uniform meshes

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

• A priori estimates for mixed finite element methods for the wave equation
• Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes
• Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
• \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations
• Two families of mixed finite elements for second order elliptic problems
• Mixed finite elements for second order elliptic problems in three variables
• An \(H^{1}\)-Galerkin mixed finite element method for a class of heat transport equations
• \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation
• Superconvergence ofH¹-Galerkin Mixed Finite Element Methods for Second-Order Elliptic Equations
• A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems
• A symmetric regularized-long-wave equation
• An optimal-order error estimate on anH¹-Galerkin mixed method for a nonlinear parabolic equation in porous medium flow
• Superconvergence ofH¹-Galerkin mixed finite element methods for parabolic problems
• Finite Element Methods for Navier-Stokes Equations
• Solitary-Wave Interactions in Elastic Rods
• On the application of mixed finite element methods to the wave equations
• Error estimates for some mixed finite element methods for parabolic type problems
• Simple nonconforming quadrilateral Stokes element
• Mixed and Hybrid Finite Element Methods
• AnH¹-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations
• Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation