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题名: Interval Arithmetic Error Estimation for the Solution of Cauchy Singular Integral Equations
作者: Babuška, Ivo;Liu, Kang-Man
贡献者: 數學系
关键词: Fredholm integral equation;Finite element method;A priori estimation;A posteriori estimation;Interval arithmetic
日期: 2009-03
上传时间: 2012-10-25T08:23:02Z
出版者: Taylor&Francis
摘要: Finite element method with a posteriori estimation using interval arithmetic is discussed for a Fredholm integral equation of the second kind. This approach is general. It leads to the guaranteed L ∞ asymptotically exact estimate without the usual overestimation when interval arithmetic is used. An algorithm is provided for determination of an approximate solution such that the computed error bound between the exact solution and its approximation in L ∞ is less than the given tolerance ϵ. Numerical solution for the equation with only C 1 kernel illustrates the approach.
關聯: International Journal of Computer Mathematics, 86(3): 549-566
显示于类别:[數學系] 期刊論文


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