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A splitting positive definite mixed element method for second-order hyperbolic equations

✍ Scribed by Jiansong Zhang; Danping Yang

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
147 KB
Volume
25
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

In this article, we establish a new mixed finite element procedure, in which the mixed element system is symmetric positive definite, to solve the second‐order hyperbolic equations. The convergence of the mixed element methods with continuous‐ and discrete‐time scheme is proved. And the corresponding error estimates are given. Finally some numerical results are presented. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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A quadrature finite element method for s
A quadrature finite element method for semilinear second-order hyperbolic problems
✍ K. Mustapha; H. Mustapha 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

## Abstract In this work we propose and analyze a fully discrete modified Crank–Nicolson finite element (CNFE) method with quadrature for solving semilinear second‐order hyperbolic initial‐boundary value problems. We prove optimal‐order convergence in both time and space for the quadrature‐modified