Oscillation in a posteriori error estimation

التفاصيل البيبلوغرافية
العنوان: Oscillation in a posteriori error estimation
المؤلفون: Kreuzer, Christian, Veeser, Andreas
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, 65N30, 65N15
الوصف: In a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following two properties. First, it is dominated by the error, irrespective of mesh fineness and the regularity of data and the exact solution. Second, it captures in terms of data the part of the residual that, in general, cannot be quantified with finite information. The new twist in our approach is a locally stable projection onto discretized residuals.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1903.05915
رقم الأكسشن: edsarx.1903.05915
قاعدة البيانات: arXiv