Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations | Zendy

Yu Changhua | Zendy; Li Yonghai | Zendy

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Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations

Author(s) -

Yu Changhua,

Li Yonghai

Publication year - 2013

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.21724

Subject(s) - superconvergence , mathematics , finite element method , hyperbolic partial differential equation , convergence (economics) , order (exchange) , partial differential equation , finite volume method , stress (linguistics) , mathematical analysis , mechanics , linguistics , philosophy , physics , finance , economics , economic growth , thermodynamics

Based on optimal stress points, we develop a full discrete finite volume element scheme for second order hyperbolic equations using the biquadratic elements. The optimal order error estimates in L ∞ ( H 1 ), L ∞ ( L 2 ) norms are derived, in addition, the superconvergence of numerical gradients at optimal stress points is also discussed. Numerical results confirm the theoretical order of convergence. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013

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