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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.19 No.4
- 발행연도
- 2015.12
- 수록면
- 387 - 407 (21page)
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초록· 키워드
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This paper analyzes the h x p version of the finite element method for optimal control problems constrained by elliptic partial differential equations with random inputs. The main result is that the h x p error bound for the control problems subject to stochastic partial differential equations leads to an exponential rate of convergence with respect to p as for the corresponding direct problems. Numerical examples are used to confirm the theoretical results.
목차
ABSTRACT
1. INTRODUCTION
2. UNIQUENESS OF THE SOLUTION
3. THE h × p VERSION ERROR BOUNDS FOR HIGH-DIMENSIONAL MODELS
4. THE h × p VERSION ERROR BOUND FOR OPTIMAL CONTROL PROBLEMS
5. NUMERICAL COMPUTATION OF OPTIMAL CONTROL PROBLEMS
6. CONCLUSION REMARKS
REFERENCES
참고문헌 (44)
참고문헌 신청
[학술지(정기간행물)] - E. H. Georgoulis / 2005 / Optimal error estimates for the hp-version interior penalty discontinous Galerkin finite element method / IMA J. Numer. Anal 25 : 205 ~ 220
[학술지(정기간행물)] - P. Houston / 2002 / Discontinuous hp-finite element methods for advection-diffusion-reaction problems / SIAM J. Numer. Anal 39 : 2133 ~ 2163
[학술지(정기간행물)] - I. Mozolevski / 2003 / A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation / Comput. Meth. Appl. Math 3 : 1 ~ 12
[학술지(정기간행물)] - I. Mozolevski / 2007 / hp-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation / J. Sci. Comput 30 : 465 ~ 491
[학술지(정기간행물)] - D. Schotzau / 2000 / Time discretization of parabolic problems by the hp-version of the discontinous Galerkin finite element method / SIAM J. Numer. Anal. 38 : 837 ~ 875
[학술지(정기간행물)] - P. Houston / 2002 / Discontinuous hp-finite element methods for advection-diffusion-reaction problems / SIAM J. Numer. Anal 39 : 2133 ~ 2163
[학술지(정기간행물)] - I. Mozolevski / 2003 / A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation / Comput. Meth. Appl. Math 3 : 1 ~ 12
[학술지(정기간행물)] - I. Mozolevski / 2007 / hp-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation / J. Sci. Comput 30 : 465 ~ 491
[학술지(정기간행물)] - D. Schotzau / 2000 / Time discretization of parabolic problems by the hp-version of the discontinous Galerkin finite element method / SIAM J. Numer. Anal. 38 : 837 ~ 875
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