|
|||||
|
|
Nonsmooth Data Error Estimates for Approximations of an Evolution Equation with a Positive-Type Memory Term |
|
| Authors: | Ch. Lubich I. H. Sloan V. Thomé e. |
| Affiliation: | Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany ; School of Mathematics, University of New South Wales, Sydney 2052, Australia ; Department of Mathematics, Chalmers University of Technology, S-412 96 Göteborg, Sweden |
| Abstract: | We study the numerical approximation of an integro-differential equation which is intermediate between the heat and wave equations. The proposed discretization uses convolution quadrature based on the first- and second-order backward difference methods in time, and piecewise linear finite elements in space. Optimal-order error bounds in terms of the initial data and the inhomogeneity are shown for positive times, without assumptions of spatial regularity of the data. |
| Keywords: | Evolution equation memory term nonsmooth data convolution quadrature |
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 | |
| 点击此处可从《Mathematics of Computation》下载全文 | |