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ADI quadratic finite volume element methods for second order hyperbolic problems
Authors:Min Yang  Chuanjun Chen
Institution:1. Department of Mathematics, Yantai University, Yantai, 264005, China
Abstract:We use the biquadratic elements to develop an alternating direction implicit (ADI) finite volume element method for second order hyperbolic problems in two spatial dimensions. The optimal H 1-norm error estimate of second order accuracy is proved. Numerical experiments that corroborate the theoretical analysis are also presented.
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