On October 19, we had a scientific seminar “Mathematical model and computational algorithms for research of the multiphysic problems”.

On October 19, we had a scientific seminar “Mathematical model and computational algorithms for research of the multiphysic problems”.

On December 6, in our laboratory we had a scientific seminar “Mathematical modeling of multiphysic problems in areas with cracks”. The main lecturer was deputy director for research at the Lavrentiev Institute of Hydrodynamics Evgeniy Rudoy

Dear users! We invite you to take part in the joint workshop INTEL and NEFU (International Scientific and Research Laboratory of Multiscale Model Reduction and High Performance Computing).

September 12, Conference Hall of the Academic Council of the NEFU.

*Participation in the workshop-workshop INTEL and NEFU is free.*

**Contacts:**

Olga Andrianova, Business Development Director, Intel Software Products in Russia / CIS, tel .: +7 (903) 042 1125

Alexander Avdeev, head of the department. Laboratory of High-Performance Computing Systems, Faculty of Information Technologies, Novosibirsk State University, tel. +7 (961) 871 7008

Dear all,

The seminar will be held on June, 19, 11:00 am at the room 134 of Main Academic Building (GUK), 42 Kulakovsky Str.

All are invited to attend.

**Monday, June 19, 11 am.**

**Dongwoo Sheen**

Department of Mathematics, Seoul National University, Seoul 08826, Korea

We give a brief review on nonconforming finite elements based on quadrialteral meshes. Then we introduce and analyze a “stable cheapest nonconforming finite element” pair on rectangular grids, with modification on the corner elements adopting the nonconforming finite element method introduced by Cai–Douglas–Ye. Except at these two corner elements, for all other elements we use the simplest P1 nonconforming quadrilateral element for the approximation of each component of velocity fields plus a globally one–dimensional bubble space, while the pressure is approximated by the piecewise constant element. We then apply this stable cheapest nonconforming pairs to approximate the steady–state Navier–Stokes equations in a rectangular cavity. Some numerical and mathematical comparisons ensure the simplicity and superiority in capturing the correct physical properties of cavity flow over other finite element methods. The numerical evidence with this element show simpler and cheaper elements can catch more precise physical characteristics.