Superconvergence of fully discrete splitting positive definite mixed FEM for hyperbolic equations

DOI10.1002/num.21802zbMath1283.65087OpenAlexW1540635146WikidataQ112879020 ScholiaQ112879020MaRDI QIDQ2874171

Yuelong Tang, Fang Wang, Yanping Chen

Publication date: 29 January 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21802

zbMATH Keywords

superconvergencenumerical experimentsecond-order hyperbolic equationsplitting positive definite mixed finite element

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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)

Related Items (5)

Super-convergence and post-processing for mixed finite element approximations of the wave equation ⋮ A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems ⋮ Superconvergence of splitting positive definite mixed finite element for parabolic optimal control problems ⋮ Unnamed Item ⋮ Polynomial preserving recovery for high frequency wave propagation

Cites Work

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• Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
• Improved error estimates for mixed finite‐element approximations for nonlinear parabolic equations: The continuous‐time case
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