• East Asian mathematical journal
• /
• 제35권5호
• /
• pp.569-587
• /
• 2019

In this paper, we consider a split least-squares characteristic mixed element method for Sobolev equations with a convection term. First, to manipulate both convection term and time derivative term efficiently, we apply a characteristic mixed element method to get the system of equations in the primal unknown and the flux unknown and then get a least-squares minimization problem and a least-squares characteristic mixed element scheme. Finally, we obtain a split least-squares characteristic mixed element scheme for the given problem whose system is uncoupled in the unknowns. We prove the optimal order in $L^2$ and $H^1$ normed spaces for the primal unknown and the suboptimal order in $L^2$ normed space for the flux unknown.

• East Asian mathematical journal
• /
• 제38권3호
• /
• pp.293-319
• /
• 2022

In this paper, we introduce a higher order split least-squares characteristic mixed element scheme for Sobolev equations. First, we use a characteristic mixed element method to manipulate both convection term and time derivative term efficiently and obtain the system of equations in the primal unknown and the flux unknown. Second, we define a least-squares minimization problem and a least-squares characteristic mixed element scheme. Finally, we obtain a split least-squares characteristic mixed element scheme for the given problem whose system is uncoupled in the unknowns. We establish the convergence results for the primal unknown and the flux unknown with the second order in a time increment.

• 대한수학회보
• /
• 제54권4호
• /
• pp.1409-1419
• /
• 2017

We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^2$ normed space for the extrapolated Crank-Nicolson characteristic finite element method.

• East Asian mathematical journal
• /
• 제33권3호
• /
• pp.295-308
• /
• 2017

We introduce a Crank-Nicolson characteristic finite element method to construct approximate solutions of a nonlinear Sobolev equation with a convection term. And for the Crank-Nicolson characteristic finite element method, we obtain the higher order of convergence in the temporal direction and in the spatial direction in $L^2$ normed space.

• East Asian mathematical journal
• /
• 제32권5호
• /
• pp.729-744
• /
• 2016

A Crank-Nicolson characteristic finite element method is introduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in $L^2$ normed space are verified for the Crank-Nicolson characteristic finite element method.

• Journal of applied mathematics & informatics
• /
• 제34권1_2호
• /
• pp.19-34
• /
• 2016

In this paper, we present a split least-squares characteristic mixed finite element method(MFEM) to get the approximate solutions of the convection dominated Sobolev equations. First, to manage both convection term and time derivative term efficiently, we apply a least-squares characteristic MFEM to get the system of equations in the primal unknown and the flux unknown. Then, we obtain a split least-squares characteristic MFEM to convert the coupled system in two unknowns derived from the least-squares characteristic MFEM into two uncoupled systems in the unknowns. We theoretically prove that the approximations constructed by the split least-squares characteristic MFEM converge with the optimal order in L² and H¹ normed spaces for the primal unknown and with the optimal order in L² normed space for the flux unknown. And we provide some numerical results to confirm the validity of our theoretical results.

• 한국게임학회 논문지
• /
• 제9권1호
• /
• pp.63-74
• /
• 2009

본 논문은 게임성 평가 모델 설계를 기반으로 온라인 게임성 평가 시스템 설계 및 구현을 중점적으로 연구하였다. 온라인 게임성 평가 시스템이란 평가 요소를 정의한 모델 설계를 통하여 온라인상에서 게임을 실시간으로 평가하는 시스템을 의미한다. 게임성 평가 시스템은 사용성 평가(Heuristic Evaluation) 기법을 활용하여 기술적 요소, 관리적 요소, 사회적 요소, 경쟁력 요소의 4부분으로 평가를 실시하였다. 게임성 평가의 객관성과 타당성 검증을 위하여 초급자, 중급자, 전문가 세 분류를 통하여 평가를 실시하여 신뢰도를 높였으며, 게임성 평가 포럼을 개최하여 다양한 계층의 의견을 수렴하였다.

• East Asian mathematical journal
• /
• 제33권5호
• /
• pp.511-525
• /
• 2017

We introduce an extrapolated higher order characteristic finite element method to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergence in both the temporal direction and the spatial direction in $L^2$ normed space is established and some computational results to support our theoretical results are presented.

• East Asian mathematical journal
• /
• 제34권5호
• /
• pp.601-614
• /
• 2018

In this paper, we introduce an extrapolated higher order characteristic finite element method to approximate solutions of nonlinear Sobolev equations with a convection term and we establish the higher order of convergence in the temporal and the spatial directions with respect to $L^2$ norm.

• Journal of applied mathematics & informatics
• /
• 제36권3_4호
• /
• pp.257-270
• /
• 2018

An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to $L^2$ norm.