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Woo, Gyungsoo,Kwon, Young-Sam American Institute of Mathematical Sciences 2014 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS Vol.13 No.1
In this paper we consider the magnetohydrodynamics flows giving rise to a variety of mathematical problems in many areas. We study the incompressible limit problems for magnetohydrodynamics flows under strong stratification on unbounded domains.
김경수(Gyungsoo Kim) 한국자동차공학회 1993 한국자동차공학회 춘 추계 학술대회 논문집 Vol.- No.-
Tunable KrF Excimer Laser is used here for measuring OH and °2 density distribution in an<br/> <br/> open Hz/air premixed flame as well as in a combustion bomb.<br/> <br/> Laser Rayleigh Scattering(LRS)<br/> <br/> and Planar Laser Induced Predissociative Fluorescence(PLIPF) methods are used to obtain two<br/> <br/> dimensional images of total and specific densities.<br/> <br/> Laser Excitation wavelengths are calibrated<br/> <br/> via flame images and combustion bomb images show good qualitative agreement with<br/> <br/> theoretical calculation.<br/> <br/> Furthermore images in a combustion bomb can be developed to study<br/> <br/> real Spark-Ignition engine combustions. Our experimental images show that there are no more collisional quenching problem at high pressure environment(including atmospheric pressure)<br/> using pre dissociative fluorescence technique.<br/> Further development to obtain two-dimensional<br/> <br/> temperature distribution is ready to use eventhough it is not reproted in this paper.<br/>
Woo, Gyungsoo,Kim, Seokchan The Youngnam Mathematical Society 2022 East Asian mathematical journal Vol.38 No.5
In [6, 7] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. They considered a partial differential equation with the input function f ∈ L<sup>2</sup>(Ω). In this paper we consider a PDE with the input function f ∈ H<sup>1</sup>(Ω) and find the corresponding singular and dual singular functions. We also induce the corresponding extraction formula which are the basic element for the approach.
SIF AND FINITE ELEMENT SOLUTIONS FOR CORNER SINGULARITIES
Woo, Gyungsoo,Kim, Seokchan The Youngnam Mathematical Society 2018 East Asian mathematical journal Vol.34 No.5
In [7, 8] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. Their algorithm involves an iteration and the iteration number depends on the acuracy of stress intensity factors, which is usually obtained by extraction formula which use the finite element solutions computed by standard Finite Element Method. In this paper we investigate the dependence of the iteration number on the convergence of stress intensity factors and give a way to reduce the iteration number, together with some numerical experiments.
On some properties of a hyperbolic metric
Woo, Gyungsoo,Shin, Chulho 昌原大學校 基礎科學硏究所 1997 基礎科學硏究所論文集 Vol.9 No.-
상반평면에서의 H-선분은 실축상에 중심을 가진 반원의 호이거나, 실축과 수직한 유클리드 선분임을 변분법을 사용하여 증명하고 적용예를 보였다.
THE SINGULARITIES FOR BIHARMONIC PROBLEM WITH CORNER SINGULARITIES
Woo, Gyungsoo,Kim, Seokchan The Youngnam Mathematical Society 2020 East Asian mathematical journal Vol.36 No.5
In [8, 9] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with corner singularities, compute the finite element solutions using standard Finite Element Methods and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. The error analysis was given in [5]. In their approaches, the singular functions and the extraction formula which give the stress intensity factor are the basic elements. In this paper we consider the biharmonic problems with the cramped and/or simply supported boundary conditions and get the singular functions and its duals and find properties of them, which are the cornerstones of the approaches of [8, 9, 10].
탄소 나노 튜브-팁 제작을 위한 다자유도 나노 정렬 시스템 개발
강경수(Gyungsoo Kang),이준석(Junsok Lee),최재성(Jaiseong Choi),곽윤근(Yoon Keun Kwak),김수현(Soohyun Kim) 대한기계학회 2004 대한기계학회 춘추학술대회 Vol.2004 No.4
AFM tip has been used for surface profiling with a fine resolution, but there is a barrier to improve its performance because of the low aspect ratio. Many researchers have solved this problem with attaching carbon nanotube (CNT) to Si-tip. In this paper, we proposed the aligner system that composed of dual type stage system, and these stages could attach a carbon nanotube to tungsten-tip in vacuum condition. We used tungsten tip instead of Si-tip because of its conductivity. The aligner system proposed in this paper has 10 degree-of-freedom that 3 in the first stage and 7 in the second stage. With picomotors and piezotube, the first stage has the resolution about several tens of ㎚ and the second stage has a resolution about a ㎚. We experimented on characterization of Nano Aligner System and operated picomotors in SEM environment.
인공근육의 일종인 실린더형 유전체 엘라스토머 액츄에이터에 관한 연구
강경수(Gyungsoo Kang),권지훈(Jihoon Kwon),이종현(Jonghyun Lee),김경수(Kyungsoo Kim),김수현(Soohyun Kim) 대한기계학회 2009 대한기계학회 춘추학술대회 Vol.2009 No.11
Muscle has the most efficient actuation mechanism for known material. This research is for actuator with behavior of natural muscle concerning for characteristics like small size, enough force and linear movement. One of calling as artificial rubber muscle, DEA(Dielectric elastomer actuator) has overwhelming strains characteristics, efficiency and speed properties than natural muscle. Cylindrical roll type dielectric elastomer actuator is consisted of elastomer with electrode wrapped around to spring or another stiffener. Elastomer's spring constant and electrical force also increase as proportional to numbers of layers. We substitute spring constant to elongation-rate relation formula. And we concluded that 3~5 layers can produce enough strains of actuator. More layers can produce large forces and strains, but as numbers of layers increase, strain has become to saturated. Finally we graphed elongation rate vs numbers of layers and voltages using Matlab.
FINITE ELEMENT SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATION WITH MULTIPLE CONCAVE CORNERS
( Seokchan Kim ),( Gyungsoo Woo ) 호남수학회 2018 호남수학학술지 Vol.40 No.4
In [8] they introduced a new _nite element method for accurate numerical solutions of Poisson equations with corner sin- gularities. They consider the Poisson equations with homogeneous Dirichlet boundary condition with one corner singularity at the ori- gin, and compute the _nite element solution using standard FEM and use the extraction formula to compute the stress intensity fac- tor, then pose a PDE with a regular solution by imposing the non- homogeneous boundary condition using the computed stress inten- sity factor, which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. This approach uses the polar coordinate and the cut-off function to control the singularity and the boundary condition. In this paper we consider Poisson equations with multiple sin- gular points, which involves different cut-off functions which might overlaps together and shows the way of cording in FreeFEM++ to control the singular functions and cut-off functions with numerical experiments.