On the accuracy of least squares methods in the presence of corner singularities

التفاصيل البيبلوغرافية
العنوان: On the accuracy of least squares methods in the presence of corner singularities
المؤلفون: Cox, C. L, Fix, G. J
بيانات النشر: United States: NASA Center for Aerospace Information (CASI), 1985.
سنة النشر: 1985
مصطلحات موضوعية: Numerical Analysis
الوصف: Elliptic problems with corner singularities are discussed. Finite element approximations based on variational principles of the least squares type tend to display poor convergence properties in such contexts. Moreover, mesh refinement or the use of special singular elements do not appreciably improve matters. It is shown that if the least squares formulation is done in appropriately weighted space, then optimal convergence results in unweighted spaces like L(2).
نوع الوثيقة: Report
اللغة: English
URL الوصول: https://ntrs.nasa.gov/citations/19850013740
ملاحظات: NAS1-17070

RTOP 505-31-83
رقم الأكسشن: edsnas.19850013740
قاعدة البيانات: NASA Technical Reports