Mixed finite element methods for elliptic obstacle problems

التفاصيل البيبلوغرافية
العنوان: Mixed finite element methods for elliptic obstacle problems
المؤلفون: Führer, Thomas, Fuica, Francisco
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, 49J40, 65N15, 65N30
الوصف: Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff--Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this work.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.09605
رقم الأكسشن: edsarx.2406.09605
قاعدة البيانات: arXiv