지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.27 No.4
- 발행연도
- 2023.12
- 수록면
- 245 - 271 (27page)
이용수
초록· 키워드
오류제보하기
In this paper we discuss some recovery of H(div)-conforming flux approximations from the equilibrated fluxes of Ainsworth and Oden for quadratic finite element methods of second-order elliptic problems. Combined with the hypercircle method of Prager and Synge, these flux approximations lead to a posteriori error estimators which provide guaranteed upper bounds on the numerical error. Furthermore, we prove some superconvergence results for the flux approximations and asymptotic exactness for the error estimator under proper conditions on the triangulation and the exact solution. The results extend those of the previous paper for linear finite element methods.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. EQUILIBRATED FLUXES
4. MAIN RESULTS
5. NUMERICAL RESULTS
6. PROOF OF THEOREMS 4.1-4.2
REFERENCES
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
POSTPROCESSING FOR GUARANTEED ERROR BOUND BASED ON EQUILIBRATED FLUXES
대한수학회지
2015 .01
-
ROBUST A POSTERIORI ERROR ESTIMATOR FOR LOWEST-ORDER FINITE ELEMENT METHODS OF INTERFACE PROBLEMS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2016 .06
-
A POSTERIORI ERROR ESTIMATORS FOR THE STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS BASED ON LOCAL PROBLEMS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2017 .12
-
Enhancing eigenvalue approximation with Bank--Weiser error estimators
한국수학논문집
2020 .01
-
면오염원 PM10 Flux 배출량 변화에 따른 주변지역 PM10 농도 변화 분석
한국대기환경학회 학술대회논문집
2020 .10
-
Asymptotic exactness of some Bank-Weiser error estimator for quadratic triangular finite element
대한수학회보
2020 .01
-
SUPERCONVERGENCE OF HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2016 .12
-
The gradient recovery for finite volume element method on quadrilateral meshes
대한수학회지
2016 .01
-
Postprocessing for the Raviart--Thomas mixed finite element approximation of the eigenvalue problem
한국수학논문집
2018 .01
-
Stable approximation of the heat flux in an inverse heat conduction problem
대한수학회논문집
2018 .01
-
Comparison of the Electromagnetic Characteristics of Single-Phase Linear Oscillating Machines according to Magnetic Flux Flow
Journal of Magnetics
2018 .12
-
Multislice Analysis of Axial Flux Synchronous Reluctance Motor Based on 2d Finite Element Method Linear Model
Journal of Magnetics
2023 .06
-
주간에 두 타워로부터 관측된 에디 공분산 자료의 확률 오차의 추정
대기
2016 .09
-
Distribution of the approximation exponents of a family of power series over a finite field
대한수학회보
2018 .01
-
Partially linear multivariate regression in the presence of measurement error
CSAM(Communications for Statistical Applications and Methods)
2020 .09
-
비상저감조치일의 두 지역간 비산먼지 실시간 플럭스 측정 자료의 비교
한국대기환경학회 학술대회논문집
2023 .10
-
Axial Flux Motor Type별 성능 분석 및 비교
한국자기학회 학술연구발표회 논문개요집
2024 .05
-
Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems
East Asian Mathematical Journal
2015 .01
-
Circular Holes Punched in a Magnetic Circuit used in Microspeakers to Reduce Flux Leakage
Journal of Magnetics
2016 .09
-
Electromagnetic Field Analysis of Distributed Winding Permanent Magnet Synchronous Motor Considering Axial Leakage Flux using Two-Dimensional Finite-Element Analysis
Journal of Magnetics
2022 .12
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-151-24-02-089243125