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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 615 - 626 (12page)
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초록· 키워드
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In this paper, we analyze discontinuous Galerkin methods with penalty terms, namly symmetric interior penalty Galerkin methods, to solve nonlinear parabolic equations. We construct finite element spaces on which we develop fully discrete approximations using extrapolated Crank-Nicolson method. We adopt an appropriate elliptic-type projection, which leads to optimal ℓ∞(L2 ) error estimates of discontinuous Galerkin approximations in both spatial direction and temporal direction.
목차
등록된 정보가 없습니다.
참고문헌 (13)
참고문헌 신청
B. Riviere / 2000 / A discontinuous Galerkin method applied to nonlinear parabolic equations. in: Discon-tinuous Galerkin Methods: Theory, Computation and Applications / Lect
B. Riviere / 2002 / Nonconforming methods for transport with nonlinear reaction / Contemporary Mathematics 295 : 421 ~ 432
D. N. Arnold / 1982 / An interior penalty nite element method with discontinuous elements / SIAM J. Numer. Anal. 19 : 724 ~ 760
I. Babuska / 1987 / The h-p version of the nite element method with quasi-uniform meshes / RAIRO Model. Math. Anal. Numer. 21 : 199 ~ 238
I. Babuska / 1987 / The optimal convergence rates of the p-version of the nite element method / SIAM J. Numer. Anal. 24 : 750 ~ 776
B. Riviere / 2002 / Nonconforming methods for transport with nonlinear reaction / Contemporary Mathematics 295 : 421 ~ 432
D. N. Arnold / 1982 / An interior penalty nite element method with discontinuous elements / SIAM J. Numer. Anal. 19 : 724 ~ 760
I. Babuska / 1987 / The h-p version of the nite element method with quasi-uniform meshes / RAIRO Model. Math. Anal. Numer. 21 : 199 ~ 238
I. Babuska / 1987 / The optimal convergence rates of the p-version of the nite element method / SIAM J. Numer. Anal. 24 : 750 ~ 776
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