• Nonlinear Functional Analysis and Applications
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• 제26권1호
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• pp.35-64
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• 2021

In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish a sufficient condition to obtain the global existence and exponential decay of weak solutions.

• Journal of Advanced Marine Engineering and Technology
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• 제20권3호
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• pp.162-170
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• 1996

A numerical study on the Stefan problem occurred in cryosurgery is performed. Crank-Nicholson type finite difference algorithm based on the enthaly method is adapted to solve the phase change problem in this study. As it is a moving boundary problem, special emphasis is put on the estimation of the freezing front location. Two cases selected here are freezings of human tissue by disk type cryoprobe and by hemispherical one. In both cases, the heat flows are considered to be one dimensional. The calculated results using enthalpy method are compared with those using the program TRUMP and with Neumann's solution. These results agree guite well with each other. While it is pretty difficult to get accurate freezing front location by TRUMP due to the so- called "phase change knee" occured during the phase change, the algorithm based on the enthalpy method is proved to be very powerful to cope with this kind of problem.f problem.

• Structural Engineering and Mechanics
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• 제45권4호
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• pp.495-519
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• 2013

This paper investigates properties of integral operators in complex variable boundary integral equation in plane elasticity, which is derived from the Somigliana identity in the complex variable form. The generalized Sokhotski-Plemelj's formulae are used to obtain the BIE in complex variable. The properties of some integral operators in the interior problem are studied in detail. The Neumann and Dirichlet problems are analyzed. The prior condition for solution is studied. The solvability of the formulated problems is addressed. Similar analysis is carried out for the exterior problem. It is found that the properties of some integral operators in the exterior boundary value problem (BVP) are quite different from their counterparts in the interior BVP.

• 대한전자공학회논문지SD
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• 제43권2호
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• pp.51-59
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• 2006

일반 컴퓨터에서 중앙처리장치와 메모리 사이의 병목현상인 "Von Neumann Bottleneck"을 보이는데 본 논문에서는 이러한 문제점을 해소하고 검색위주의 응용분야에서 우수한 성능을 보이는 Content-addressable memory(CAM) 기반의 확장 가능한 범용 Associative Processor(AP) 구조를 제안하였다. 본 연구에서는 Associative computing을 효율적으로 수행할 수 있는 명령어 세트를 제안하였으며 다양하고 대용량 응용분야에도 적용할 수 있도록 구조를 확장 가능하게 설계함으로써 유연한 구조를 갖는다. 12 가지의 명령어가 정의되었으며 프로그램이 효율적으로 수행될 수 있도록 명령어 셋을 구성하고 연속된 명령어를 하나의 명령어로 구현함으로써 처리시간을 단축하였다. 제안된 프로세서는 bit-serial, word-parallel로 동작하며 대용량 병렬 SIMD 구조를 갖는 32 비트 범용 병렬 프로세서로 동작한다. 포괄적인 검증을 위하여 명령어 단위의 검증 뿐 아니라 최대/최소 검색, 이상/이하 검색, 병렬 덧셈 등의 기본적인 병렬 알고리즘을 검증하였으며 알고리즘은 처리 데이터의 개수와는 무관한 상수의 복잡도 O(k)를 갖으며 데이터의 비트 수만큼의 이터레이션을 갖는다.

• 호남수학학술지
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• 제31권2호
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• pp.219-231
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• 2009

For a mapping satisfying the inequality ${\parallel}{\lambda}f(x)+2{\lambda}f(y)+2f({\lambda}z){\parallel}{\leq}{\parallel}2f({\lambda}({\frac{2}{x}}+y+z)){\parallel}+{\phi}(x,y,z)$, we will study the stability problem of this mapping.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1993년도 가을 학술발표회논문집
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• pp.207-215
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• 1993

With the aid of finite element method, this paper deals with the problem of structural response variability of transmission tower subjected to the spatial variability of material properties, Young's modulus herein. The spatial variability of material property are modeled as two-dimensional stochastic field which has an isotropic auto-correlation function. Response variability has been computed based on two numerical techniques, such as the Neumann expansion method in conjunction with the Monte Carlo simulation method. The results by these numerical methods are compared with those by the deterministic approach.

• 대한수학회논문집
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• 제10권2호
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• pp.349-355
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• 1995

Let $D \subset C^n$ be a smoothly bounded pseudoconvex domain and let ${\bar{D}_r}_r$ be a family of smooth perturbations of $\bar{D}$ such that $\bar{D} \subset \bar{D}_r$. Let $K_D(z, w)$ be the Bergman kernel function on $D \times D$. Then $lim_{r \to 0} K_{D_r}(z, w) = K_D(z, w)$ locally uniformally on $D \times D$.

• 대한수학회지
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• 제32권2호
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• pp.329-339
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• 1995

Let us consider the Neumann problem for a quasilinear equation $$ (I_\varepsilon) {\varepsilon^m div($\mid$\nabla_u$\mid$^{m-2}\nabla_u) - u$\mid$u$\mid$^{m-2} + f(u) = 0 in \Omega {\frac{\partial\nu}{\partial u} = 0 on \partial\Omega. $$ where $1 < m < N, N \geq 2, \varepsilon > 0, \Omega$ is a smooth bounded domain in $R^n$ and $\nu$ is the unit outer normal vector to $\partial\Omega$.

• East Asian mathematical journal
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• 제24권3호
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• pp.263-274
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• 2008

Let $r\;{\geq}\;q$. We get the stability of the estimates of the $\bar{\partial}$-Neumann problem for (p, r)-forms on a weakly q-convex complex submanifold. As a by-product of the stability of the $\bar{\partial}$-estimates, we get the Mergelyan approximation property for (p, r)-forms on a weakly q-convex complex submanifold which satisfies property (P).

• 대한조선학회논문집
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• 제29권4호
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• pp.58-65
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• 1992

본 논문에서는 물체표면을 겹 3차 B-Spline 방법에 의하여 표현하고, 특이점세기를 겹선형으로 근사하는 고차판요소법을 이용하여 몰수체에 대한 조파저항을 계산하였다. 여기서 Neumann-kelvin 문제는 쏘오스분포법과 법선다이폴분포법에 의하여 해석되었다. 고차 판요소법에 의하여 계산된 결과는 Hess & Smith가 사용한 최저차 판요소법 결과와 비교하였으며, 고차 판요소법의 수렴도는 보통 판요소법보다 훨씬 좋은 것으로 나타났다. 그러나, 고차 판요소법에 의하여 계산된 조파저항도 최저차 판요소법에 의한 것과 마찬가지로 낮은 Froude 수에서는 해석해와의 차이를 보이고 있다.