• 제목/요약/키워드: Mixed Functions

검색결과 446건 처리시간 0.022초

8절점 Hybrid/Mixed 평면응력요소 (Development of an Enhanced 8-node Hybrid/Mixed Plane Stress Element : HQ8-14βElement)

  • 천경식;박원태;임성순
    • 대한토목학회논문집
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    • 제26권2A호
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    • pp.319-326
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    • 2006
  • 본 논문에서는 가정응력장과 수정된 형상함수를 이용한 새로운 8절점 hybrid/mixed 평면응력요소를 제시하였다. 가정응력장은 비적합 변위모드로부터 유도하였으며, 이는 요소의 찌그러짐에 대한 민감도를 완화시켜준다. 그리고 Cartesian 좌표계에서 9절점 등매개변수 요소와 동일한 조건하에서 2차 변위를 정확히 보간하도록 수정한 형상함수를 사용하였다. 제시한 8절점 hybrid/mixed 평면응력요소(HQ8-$14{\beta}$)의 수치해석에 대한 정확성과 효율성을 검증하기 위해 기존의 참고문헌들과 비교, 분석하였다. 그 결과 본 논문에서 제시한 요소는 요소가 왜곡된 경우를 포함하여 우수한 성능을 보였다.

ON THE APPLICATION OF MIXED FINITE ELEMENT METHOD FOR A STRONGLY NONLINEAR SECOND-ORDER HYPERBOLIC EQUATION

  • Jiang, Ziwen;Chen, Huanzhen
    • Journal of applied mathematics & informatics
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    • 제5권1호
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    • pp.23-40
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    • 1998
  • Mixed finite element method is developed to approxi-mate the solution of the initial-boundary value problem for a strongly nonlinear second-order hyperbolic equation in divergence form. Exis-tence and uniqueness of the approximation are proved and optimal-order $L\infty$-in-time $L^2$-in-space a priori error estimates are derived for both the scalar and vector functions approximated by the method.

ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF LITTLEWOOD-PALEY FUNCTIONS

  • Zhang, Xiao
    • 대한수학회보
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    • 제58권2호
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    • pp.403-417
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    • 2021
  • This note is devoted to establishing the boundedness for some classes of Littlewood-Paley square operators defined by the kernels without any regularity on the mixed radial-angular spaces. The corresponding vector-valued versions are also presented. As applications, the corresponding results for the Littlewood-Paley g∗λ function and the Littlewood-Paley function related to the area integrals are also obtained.

SETVALUED MIXED QUASI-EQUILIBRIUM PROBLEMS WITH OPERATOR SOLUTIONS

  • Ram, Tirth;Khanna, Anu Kumari;Kour, Ravdeep
    • Nonlinear Functional Analysis and Applications
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    • 제27권1호
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    • pp.83-97
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    • 2022
  • In this paper, we introduce and study generalized mixed operator quasi-equilibrium problems(GMQOEP) in Hausdorff topological vector spaces and prove the existence results for the solution of (GMQOEP) in compact and noncompact settings by employing 1-person game theorems. Moreover, using coercive condition, hemicontinuity of the functions and KKM theorem, we prove new results on the existence of solution for the particular case of (GMQOEP), that is, generalized mixed operator equilibrium problem (GMOEP).

EXISTENCE OF THREE WEAK SOLUTIONS FOR A CLASS OF NONLINEAR OPERATORS INVOLVING p(x)-LAPLACIAN WITH MIXED BOUNDARY CONDITIONS

  • Aramaki, Junichi
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.531-551
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    • 2021
  • In this paper, we consider a mixed boundary value problem to a class of nonlinear operators containing p(x)-Laplacian. More precisely, we consider the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of at least three weak solutions under some hypotheses on given functions and the values of parameters.

공간적 상관관계가 존재하는 이산형 자료를 위한 일반화된 공간선형 모형 개관 (Review of Spatial Linear Mixed Models for Non-Gaussian Outcomes)

  • 박진철
    • 응용통계연구
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    • 제28권2호
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    • pp.353-360
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    • 2015
  • 공간적으로 관측되는 연속형 자료를 분석하는 모형으로 공간적 상관관계를 고려한 다양한 정규모형이 지난 수십 년간 제안되었다. 그 중에서 공간효과를 랜덤효과로 모형화하는 공간선형모형(Spatial Linear Mixed Model; SLMM)이 가장 널리 활용되는 모형 중 하나일 것이다. 연결함수(link function)을 사용하면 SLMM을 비정규 데이터도 적용할 수 있는 일반화된 공간선형모형(Spatial Generalized Linear Mixed Model; SGLMM)으로 자연스럽게 확장할 수 있다. 이 논문에서는 가장 널리 활용되는 SGLMM을 알아보고 실제 데이터 적용사례를 R 패키지를 활용하여 제시하고자 한다.

Design of $H_{\infty}$ Controller with Different Weighting Functions Using Convex Combination

  • Kim Min-Chan;Park Seung-Kyu;Kwak Gun-Pyong
    • Journal of information and communication convergence engineering
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    • 제2권3호
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    • pp.193-197
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    • 2004
  • In this paper, a combination problem of controllers which are the same type of $H_{\infty}$ controllers designed with different weighting functions. This approach can remove the difficulty in the selection of the weighting functions. As a sub-controller, the Youla type of $H_{\infty}$ controller is used. In the $H_{\infty}$ controller, Youla parameterization is used to minimize $H_{\infty}$ norm of mixed sensitivity function by using polynomial approach. Computer simulation results show the robustness improvement and the performance improvement.

DEGREE OF APPROXIMATION FOR BIVARIATE SZASZ-KANTOROVICH TYPE BASED ON BRENKE TYPE POLYNOMIALS

  • Begen, Selin;Ilarslan, H. Gul Ince
    • 호남수학학술지
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    • 제42권2호
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    • pp.251-268
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    • 2020
  • In this paper, we estimate the degree of approximation by means of the complete modulus of continuity, the partial modulus of continuity, the Lipschitz-type class and Petree's K-functional for the bivariate Szász-Kantorovich operators based on Brenke-type polynomials. Later, we construct Generalized Boolean Sum operators associated with combinations of the Szász-Kantorovich operators based on Brenke-type polynomials. In addition, we obtain the rate of convergence for the GBS operators with the help of the mixed modulus of continuity and the Lipschitz class of the Bögel continuous functions.

다목적 비선형 혼합정수계획법을 이용한 셀 형성 (Cell Formation Using Fuzzy Multiobjective Nonlinear Mixed-integer Programming)

  • 오명진
    • 산업경영시스템학회지
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    • 제23권61호
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    • pp.41-50
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    • 2000
  • Cell formation(CF) Is to group parts with similar geometry, function, material and process into part families, and the corresponding machines into machine cells. Cell formation solutions often contain exceptional elements(EEs). Also, the following objective functions - minimizing the total costs of dealing with exceptional elements and maximizing total similarity coefficients between parts - have been used in CF modeling. Thus, multiobjective programming approach can be developed to model cell formation problems with two conflicting objective functions. This paper presents an effective cell formation method with fuzzy multiobjective nonlinear mixed-integer programming simultaneously to form machine cells and to minimize the cost of eliminating EEs.

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Mixed reality multi-person interaction research based on the calibration of the HoloLens devices

  • Qin, Zi Jie;Li, Ao Xuan;Lim, Hyotaek;Lee, Byung Gook
    • 한국멀티미디어학회논문지
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    • 제24권9호
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    • pp.1261-1267
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    • 2021
  • Currently, the application of virtual reality technology is becoming more and more popular in all aspects of life. From virtual entertainment to industrial simulation, the new operation and working methods brought by virtual reality visualization technology have greater appeal and advantages. With the renewal and iteration of related equipment, more and more functions make its limitations continue to decrease, but its applicability continues to improve. Take the optically transparent head-mounted device as an example. It integrates more computer functions, presents and interacts in a virtual way, further integrates with daily behaviors, and shortens the distance between users and digital information.