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.24 No.2
- 발행연도
- 2020.6
- 수록면
- 143 - 159 (17page)
이용수
초록· 키워드
오류제보하기
We propose a consistent numerical method for elliptic interface problems with nonhomogeneous jumps. We modify the discontinuous bubble immersed finite element method (DB-IFEM) introduced in (Chang et al. 2011), by adding a consistency term to the bilinear form. We prove optimal error estimates in L² and energy like norm for this new scheme. One of the important technique in this proof is the Bramble-Hilbert type of interpolation error estimate for discontinuous functions. We believe this is a first time to deal with interpolation error estimate for discontinuous functions. Numerical examples with various interfaces are provided. We observe optimal convergence rates for all the examples, while the performance of early DB-IFEM deteriorates for some examples. Thus, the modification of the bilinear form is meaningful to enhance the performance.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. DB-IFEM
4. ERROR ANALYSIS
5. NUMERICAL RESULTS
6. CONCLUSION
REFERENCES
참고문헌 (37)
참고문헌 신청
K. GARRETT / 1974 / The thermal conductivity of epoxy-resin/powder composite materials / Journal of Physics D: Applied Physics 7:1247
T. BELYTSCHKO / 2001 / Arbitrary discontinuities in finite elements / International Journal for Numerical Methods in Engineering 50:993~1013
Z. HASHIN / 2002 / Thin interphase/imperfect interface in elasticity with application to coated fiber composites / Journal of the Mechanics and Physics of Solids 50:2509~2537
A. BUFFA / 2005 / Remarks on the discretization of some noncoercive operator with applications to heterogeneous maxwell equations / SIAM Journal on Numerical Analysis 43:1~18
Z. CHEN / 2007 / Reservoir simulation: mathematical techniques in oil recovery
T. BELYTSCHKO / 2001 / Arbitrary discontinuities in finite elements / International Journal for Numerical Methods in Engineering 50:993~1013
Z. HASHIN / 2002 / Thin interphase/imperfect interface in elasticity with application to coated fiber composites / Journal of the Mechanics and Physics of Solids 50:2509~2537
A. BUFFA / 2005 / Remarks on the discretization of some noncoercive operator with applications to heterogeneous maxwell equations / SIAM Journal on Numerical Analysis 43:1~18
Z. CHEN / 2007 / Reservoir simulation: mathematical techniques in oil recovery
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
RECENT DEVELOPMENT OF IMMERSED FEM FOR ELLIPTIC AND ELASTIC INTERFACE PROBLEMS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2019 .06
-
Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems
East Asian Mathematical Journal
2015 .01
-
UNIFORM MESH METHOD FOR A MAXWELL'S EQUATION WITH DISCONTINUOUS COEFFICIENTS
Journal of applied mathematics & informatics
2019 .01
-
OPTIMAL ERROR ESTIMATE OF A DECOUPLED CONSERVATIVE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE KLEIN-GORDON-SCHRÖDINGER EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2020 .03
-
Minimal locally stabilized \textit{Q1-Q0} schemes for the generalized Stokes problem
대한수학회지
2020 .01
-
AN EFFICIENT AND ROBUST NUMERICAL METHOD FOR OPTION PRICES IN A TWO-ASSET JUMP-DIFFUSION MODEL
순수 및 응용수학
2020 .01
-
HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC EQUATIONS WITH NONLINEAR COEFFICIENTS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2022 .12
-
Current-induced magnetization change in a ferromanget/Ge₂Sb₂Te5 interface
한국자기학회 학술연구발표회 논문개요집
2019 .05
-
A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS SOURCE TERM
Journal of applied mathematics & informatics
2019 .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 FAST AND ROBUST NUMERICAL METHOD FOR OPTION PRICES AND GREEKS IN A JUMP-DIFFUSION MODEL
순수 및 응용수학
2015 .01
-
SUPERCONVERGENCE OF HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2016 .12
-
A finite difference/finite volume method for solving the fractional diffusion wave equation
대한수학회지
2021 .01
-
ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY FOR PARABOLIC PROBLEMS
East Asian Mathematical Journal
2016 .01
-
SPECTRAL LEGENDRE AND CHEBYSHEV APPROXIMATION FOR THE STOKES INTERFACE PROBLEMS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2017 .09
-
On the Transmission of Jumps among Asian Major Currency Exchange Rates
Journal of The Korean Data Analysis Society
2016 .01
-
HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM
대한수학회지
2017 .01
-
THE DELTA STANDING WAVE SOLUTION FOR THE LINEAR SCALAR CONSERVATION LAW WITH DISCONTINUOUS COEFFICIENTS USING A SELF-SIMILAR VISCOUS REGULARIZATION
대한수학회보
2015 .01
-
PROPER ORTHOGONAL DECOMPOSITION OF DISCONTINUOUS SOLUTIONS WITH THE GEGENBAUER POST-PROCESSING
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2019 .12
-
The unit ball of L(2R2h(w))
대한수학회보
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-ECN-0101-2020-410-000855169