AORC 3그룹 초청 강연 연사: 이상현 교수(Florida State University) 일시: 2021년 6월 2일 (수) pm 2:30~ 3:30 장소 : AORC Seminar room Title : Locking-free and locally-conservative enriched Galerkin methods for linear poroelasticity. Abstract : In this talk, we consider a new finite element method for solving Biot's equations that model the coupled fluid and mechanics in deformable porous media. The primary purpose of the study is to develop a computationally efficient and robust numerical method that is free of both pressure oscillations and volumetric locking. The method utilizes a new locking-free enriched Galerkin method for the displacement of the solid phase and a locally conservative enriched Galerkin method for the pressure of the fluid phase. These EG methods utilize the well-known discontinuous Galerkin (DG) techniques, but the approximation spaces have fewer degrees of freedom than those for the typical DG methods, thus offering an efficient alternative to DG methods. We present a priori error estimates of optimal order. We also demonstrate through some numerical examples that the new method is free of pressure oscillations and volumetric locking and can even handle well the heterogeneity of porous medium.