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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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We analyze a posteriori error estimator for the conforming $P2$ finite element on triangular meshes which is based on the solution of local Neumann problems. This error estimator extends the one for the conforming $P1$ finite element proposed in \cite{Bank-Weiser85}. We prove that it is asymptotically exact for the Poisson equation when the underlying triangulations are mildly structured and the solution is smooth enough.
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참고문헌 (20)
참고문헌 신청
Mark Ainsworth / 1996 / The influence and selection of subspaces for a posteriori error estimators / Numerische Mathematik 73(4):399~418
M. Ainsworth / 2000 / A posteriori error estimation in finite element analysis, Pure and Applied Mathematics (New York) / Wiley-Interscience
A. Alonso / 1996 / Error estimators for a mixed method / Numerische Mathematik 74(4):385~395
R. E. Bank / 1985 / Some A Posteriori Error Estimators for Elliptic Partial Differential Equations / Mathematics of Computation 44(170):283
Randolph E. Bank / 1991 / A Posteriori Error Estimates for the Stokes Problem / SIAM Journal on Numerical Analysis 28(3):591~623
M. Ainsworth / 2000 / A posteriori error estimation in finite element analysis, Pure and Applied Mathematics (New York) / Wiley-Interscience
A. Alonso / 1996 / Error estimators for a mixed method / Numerische Mathematik 74(4):385~395
R. E. Bank / 1985 / Some A Posteriori Error Estimators for Elliptic Partial Differential Equations / Mathematics of Computation 44(170):283
Randolph E. Bank / 1991 / A Posteriori Error Estimates for the Stokes Problem / SIAM Journal on Numerical Analysis 28(3):591~623
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