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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 101 - 115 (15page)
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초록· 키워드
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In this paper, we consider a semi-discrete mixed discontinuousGalerkin method with an interior penalty to approximate the solution ofparabolic problems. We de ne an auxiliary projection to analyze the errorestimate and obtain optimal error estimates in L1(L2) for the primaryvariable u, optimal error estimates in L2(L2) for ut, and suboptimal errorestimates in L1(L2) for theux variable .
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참고문헌 (19)
참고문헌 신청
D. N. Arnold / 1982 / An interior penalty nite element method with discontinuous elements / SIAM J. Numer. Anal. 19:724~760
D. N. Arnold / 2001 / Unified analysis of discontinuous Galerkin methods for elliptic problems / SIAM J. Numer. Anal. 39:1749~1779
Z. Chen / 2001 / On the relationship of various discontinuous finite element methods for secondorder elliptic equations / East-West J. Numer. Math. 9:99~122
H. Chen / 2003 / Stability and convergence of mixed discontinuous finite element methods for second-order diffferential problems / J. Numer. Math. 11:253~287
Z. Chen / 1991 / Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems / Math. Applic. Comp. 10:137~160
D. N. Arnold / 2001 / Unified analysis of discontinuous Galerkin methods for elliptic problems / SIAM J. Numer. Anal. 39:1749~1779
Z. Chen / 2001 / On the relationship of various discontinuous finite element methods for secondorder elliptic equations / East-West J. Numer. Math. 9:99~122
H. Chen / 2003 / Stability and convergence of mixed discontinuous finite element methods for second-order diffferential problems / J. Numer. Math. 11:253~287
Z. Chen / 1991 / Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems / Math. Applic. Comp. 10:137~160
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