Minimal Interior Penalty Nonconforming Finite Elements for 2m-th Order Partial Differential Equations
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Speaker: Shuonan Wu, Penn State
Abstract: In this work, we propose the interior penalty nonconforming finite elements for 2m-th order partial differential equations in Rn, for any m >= 0, n >= 1. For the nonconforming finite element, the shape function space consists of all polynomials with a degree not greater than m and is hence minimal. This family of spaces has some natural inclusion properties as in the corresponding Sobolev spaces in the continuous cases. By applying the interior penalty in the bilinear form, we establish quasi-optimal error estimates in the broken Hm, provided that the corresponding conforming relative exists. These theoretical results are further validated by the numerical tests. The seminar starts at 10:30 am.
Room Reservation Information
Room Number: 315 McAllister
Time: 10:00am - 12:00pm