IMPROVED ERROR ESTIMATES FOR MIXED FINITE ELEMENT FOR NONLINEAR HYPERBOLIC EQUATIONS: THE CONTINUOUS-TIME CASE

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Nonlinear hyperbolic equations Mixed finite element methods Error estimates Superconvergence.
• 年，卷（期）: 2001,（4）
• 页码范围: 385-392
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

Improved L2-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Results are given for the continuous-time case. The convergence of the values for both the scalar function and the flux is demonstrated. The technique used here covers the lowest-order Raviart-Thomas spaces, as well as the higherorder spaces. A second paper will present the analysis of a fully discrete scheme (Numer.Math. J. Chinese Univ. vol.9, no.2, 2000, 181-192).