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Nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations. (English) Zbl 1284.65138

The authors study the superconvergence analysis of the nonconforming \(H^{1}\)-Galerkin mixed finite element method for strongly damped wave equations under almost uniform meshes. Numerical results are discussed to confirm the theoretical results.

MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L70 Second-order nonlinear hyperbolic equations
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
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