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
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제34권 제1호
- 발행연도
- 2016.1
- 수록면
- 19 - 34 (16page)
이용수
초록· 키워드
오류제보하기
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 L<sup>2</sup> and H<sup>1</sup> normed spaces for the primal unknown and with the optimal order in L<sup>2</sup> normed space for the flux unknown. And we provide some numerical results to confirm the validity of our theoretical results.
목차
등록된 정보가 없습니다.
참고문헌 (23)
참고문헌 신청
T. Arbogast / 1995 / A characteristics-mixed finite element method for advectiondominated transport problem / SIAM J. Numer. Anal 32:404~424
G. I. Barenblatt / 1960 / Basic conception in the theory of seepage of homogenous liquids in fissured rocks / J. Appl. Math. Mech 24:1286~1309
K. Boukir / 1997 / A high-order characteristics/finite element method for the incompressible navier-stokes equations / Inter. Jour. Numer. Methods in Fluids 25:1421~1454
Z. Chen / 2002 / Characteristic mixed discontinuous finite element methods for advectiondominated diffusion problems / Comput. Methods. Appl. Mech. Engrg 191:2509~2538
Z. Chen / 2002 / Error analysis for characteristics-based methods for degenerate parabolic problems / SIAM J. Numer. Anal 40:1491~1515
G. I. Barenblatt / 1960 / Basic conception in the theory of seepage of homogenous liquids in fissured rocks / J. Appl. Math. Mech 24:1286~1309
K. Boukir / 1997 / A high-order characteristics/finite element method for the incompressible navier-stokes equations / Inter. Jour. Numer. Methods in Fluids 25:1421~1454
Z. Chen / 2002 / Characteristic mixed discontinuous finite element methods for advectiondominated diffusion problems / Comput. Methods. Appl. Mech. Engrg 191:2509~2538
Z. Chen / 2002 / Error analysis for characteristics-based methods for degenerate parabolic problems / SIAM J. Numer. Anal 40:1491~1515
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED ELEMENT METHOD FOR SOBOLEV EQUATIONS WITH A CONVECTION TERM
East Asian Mathematical Journal
2019 .01
-
Error estimates for fully discrete mixed discontinuous Galerkin approximations for parabolic problems
East Asian Mathematical Journal
2015 .01
-
AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS
East Asian Mathematical Journal
2017 .01
-
A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS
East Asian Mathematical Journal
2016 .01
-
An extrapolated Crank-Nicolson characteristic finite element method for Sobolev equations
대한수학회보
2017 .07
-
An Extrapolated Higher Order Characteristic Finite Element Method for Nonlinear Sobolev Equations
East Asian Mathematical Journal
2018 .01
-
A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS
East Asian Mathematical Journal
2017 .01
-
AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS
Journal of applied mathematics & informatics
2018 .01
-
CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS
East Asian Mathematical Journal
2017 .01
-
THE h × p FINITE ELEMENT METHOD FOR OPTIMAL CONTROL PROBLEMS CONSTRAINED BY STOCHASTIC ELLIPTIC PDES
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2015 .12
-
ON SOME P-Q MIXED MODULAR EQUATIONS OF DEGREE 5
Proceedings of the Jangjeon Mathematical Society
2020 .01
-
LEAST-SQUARES SPECTRAL COLLOCATION PARALLEL METHODS FOR PARABOLIC PROBLEMS
호남수학학술지
2015 .01
-
A finite difference/finite volume method for solving the fractional diffusion wave equation
대한수학회지
2021 .01
-
A two-level finite element method for the steady-state Navier--Stokes/Darcy model
대한수학회지
2020 .01
-
On some new mixed modular equations of composite degrees 45 and 63
Proceedings of the Jangjeon Mathematical Society
2023 .04
-
A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION
East Asian Mathematical Journal
2017 .01
-
도시의 산업특성이 미세먼지 농도에 미치는 영향
한국환경과학회지
2020 .05
-
REMARKS ON FINITE ELEMENT METHODS FOR CORNER SINGULARITIES USING SIF
호남수학학술지
2016 .01
-
Fixed points and stability of an AQCQ-functional equation in $G$-normed spaces
순수 및 응용수학
2016 .01
-
LEAST-SQUARES METHOD FOR THE BUBBLE STABILIZATION BY THE GAUSS-NEWTON METHOD
호남수학학술지
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0