• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제26권4호
• /
• pp.244-262
• /
• 2022

In this paper, we analyze the hybridizable discontinuous Galerkin (HDG) method for second-order elliptic equations with nonlinear coefficients, which are used in many fields. We present the HDG method that uses a mixed formulation based on numerical trace and flux. Under assumptions on the nonlinear coefficient and H²-regularity for a dual problem, we prove that the discrete systems are well-posed and the numerical solutions have the optimal order of convergence as a mesh parameter. Also, we provide a matrix formulation that can be calculated using an iterative technique for numerical experiments. Finally, we present representative numerical examples in 2D to verify the validity of the proof of Theorem 3.10.

• Korean Journal of Mathematics
• /
• 제31권4호
• /
• pp.419-431
• /
• 2023

In this paper, we propose an iterative method for a symmetric interior penalty Galerkin method for heterogeneous elliptic problems. The iterative method consists mainly of two parts based on a non-overlapping domain decomposition approach. One is an intermediate preconditioner constructed by understanding the properties of the discontinuous finite element functions and the other is a preconditioning related to the dual-primal finite element tearing and interconnecting (FETI-DP) methodology. Numerical results for the proposed method are presented, which demonstrate the performance of the iterative method in terms of various parameters associated with the elliptic model problem, the finite element discretization, and non-overlapping subdomain decomposition.

• Journal of Information Technology Applications and Management
• /
• 제28권5호
• /
• pp.61-70
• /
• 2021

With the proliferation of smartphones and 5G networks, mobile social network service (SNS) has become an indispensable part of people's daily lives. However, with the use of SNS, fatigue and withdrawal behavior gradually emerged. Based on The Transactional Theory of Stress and Coping (TTSC), we explored the mechanism of SNS overload on users' discontinuous intention under the framework of "stressor-strain-outcome". And we also investigated the moderating effects of gender in this process. We hope that through our research, we can help SNS users to reduce unnecessary fatigue, and provide better suggestions for platform designers to adjust product design to improve user experience.

• 지질공학
• /
• 제15권3호
• /
• pp.257-268
• /
• 2005

일반적으로 현지 암반은 강도의 변화가 심 한 다양한 불연속면들을 포함하여 불균질하고 불연속성 을 나타낸다. 절리, 단층, 균열, 층리와 같은 불연속면들은 암반의 강도와 변형특성을 좌우하는 중요한 요인이다. 결과적으로, 지하공동의 안정성은 무결암의 역학적 특성뿐만 아니 라, 공동의 기하학적 형상과 관련하여 불연속면들의 공간적 분포와 역학적 특성에 크게 영 향을 받는다. 따라서 지하심부의 응력 조건에서의 공동설계를 위해서는 불연속 암반의 거동에 대한 정확한 이해가 필수적이다. 암반역 학 분야의 발전에 의하여 등방성 암반에서 의지 하공동 설계를 위한 기준이 제시되고 있으나, 불연속성 암반의 변형 거동은 불명확성 이 여전히 존재한다. 본 연구에서는 연속체절 리모델을 적용하여 불연속성 암반내의 지하공동 주변의 소성영역의 크기, 응력분포 및 변형거동에 대하여 매개변수의 변화에 따른 영향을 고찰하였다. Mohr-Coulomb 파괴 이론에 의한 탄소성 유한차분법을 적용하였으며, 비조합 유동법칙과 완전소성 물질거 동을 가정하였다.

• 대한환경공학회지
• /
• 제22권12호
• /
• pp.2187-2195
• /
• 2000

막분리 기술을 이용한 정수처리시스템은 안정된 수질을 제공할 수 있으며 기존의 정수처리 시스템에 비해 유지관리가 비교적 간편하다. 또 막여과 시스템은 매우 콤팩트한 기솔로서 응집/침전/여과로 구성된 기존의 정수처리 공정을 단일공정만으로 대체할 수 있다. 그러나 막여과는 운전시간의 경과와 함께 농도분극과 막오염으로 인한 플럭스의 감소라는 중요한 문제점이 있다. 따라서 장기간 연속운전의 평가에 관한 체계척인 연구가 필요하다. 본 연구는 분획분자량 30.000 Da인 관상형 한외여과막을 이용한 막여과 시스템을 구성하고 feed-and-discontinuous bleed 방식으로 운전하였다. 플럭스는 1,500시간 운전후에 안정되었고 4.000시간까지 25 LMH 이상을 유지하였다. SS와 탁도를 유발하는 물질은 거의 완전히 제거되었으며 $UV_{260}$과 DOC의 제거율은 각각 55%와 49%였다. 하나의 운전주기동안 SS, 탁도, $UV_{260}$과 DOC의 최대농도를 예측하기 위해 간단한 물질수지를 만들었다. 그 결과 SS와 탁도는 각 주기동안 관측된 최대농도와 예측치가 잘 일치한 반면 $UV_{260}$과 DOC의 관측농도는 예측치의 약 59%와 37% 였다.

• 한국통계학회:학술대회논문집
• /
• 한국통계학회 2002년도 추계 학술발표회 논문집
• /
• pp.103-108
• /
• 2002

We consider an estimation of discontinuous variance function in nonparametric heteroscedastic random design regression model. We first propose estimators of a change point and jump size in variance function and then construct an estimator of entire variance function. We examine the rates of convergence of these estimators and give results on their asymptotics. Numerical work reveals that the effectiveness of change point analysis in variance function estimation is quite significant.

• 한국콘크리트학회:학술대회논문집
• /
• 한국콘크리트학회 1998년도 봄 학술발표회 논문집(I)
• /
• pp.353-358
• /
• 1998

The strain localization is a discontinuous phenomenon that addresses the formation of jumps of the field variables across a singularity surface. It has become widely accepted that the localization may occur as the result of discontinuous bifurcation which corresponds to the loss of ellipticity of the governing differential equations for elasto-plastic continua. In this paper, condition for strain localization in concrete based on bifurcation theory is studied and localization tensor analysis algorithm is employed to determine the directions of localization of deformations in concrete. By applying a plasticity model of concrete into the algorithm, localization analysis is performed concrete under uniaxial tension, pure shear and uniaxial compression.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 2001년도 ICCAS
• /
• pp.127.4-127
• /
• 2001

Inspection and shape measurement of three-dimensional objects are widely needed in industries for quality monitoring and control. A number of visual or optical technologies have been successfully applied to measure three dimensional surfaces. Especially, the shape measurement using an interferometric principle becomes a successful methodology. However, those conventional interferometric methods to measure surface profile have an inherent shortcoming, namely 2∏ ambiguity problem. The problem inevitably happens when the object to be measured has discontinuous shape due to the repetition of interferometric signal with phase period of 2∏. Therefore, in this paper, we choose as a shape measuring method, ...

• East Asian mathematical journal
• /
• 제31권5호
• /
• pp.685-693
• /
• 2015

In this paper, we introduce fully discrete mixed discontinuous Galerkin approximations for parabolic problems. And we analyze the error estimates in $l^{\infty}(L^2)$ norm for the primary variable and the error estimates in the energy norm for the primary variable and the flux variable.

• Korean Journal of Mathematics
• /
• 제13권2호
• /
• pp.161-176
• /
• 2005

We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.