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    题名 作者 年代 出处 被引量
1Glioblastoma with spinal seeding显示文摘Fakhrai N Czech 1 Diekmann K 2004Strahlenther Onkol2004,180,7:1
2FINITE ELEMENT APPROXIMATION OF A NONLINEAR STEADY-STATE HEAT CONDUCTION PROBLEM显示文摘We examine a nonlinear partial differential equation of elliptic type with the homogeneous Dirichlet boundary conditions. We prove comparison and maximum principles. For associated finite element approximations we introduce a discrete analogue of the maximum principle for linear elements, which is based on nonobtuse tetrahedral partitions.Michal Krizek (Mathematical Institute, Academy of Sciences, ■itn■ 25, CZ-115 67 Prague 1, Czech Republic) 2001Journal of Computational Mathematics2001,19,1:0
3SPLITTING A CONCAVE DOMAIN TO CONVEX SUBDOMAINS显示文摘We examine a steady-state heat radiation problem and its finite element approximation in Rd, d = 2, 3. A nonlinear Stefan-Boltzmann boundary condition is considered. Another nonlinearity is due to the fact that the temperature is always greater or equal than 0[K]. We prove two convergence theorems for piecewise linear finite element solutions.Li-ping Liu Michal Krizek(Mathematical Institute, Academy of Sciences, Zitna 25, CZ-11567 Prague 1, Czech Republic) 1998Journal of Computational Mathematics1998,16,4:0
4OPTIMAL INTERIOR AND LOCAL ERROR ESTIMATES OF A RECOVERED GRADIENT OF LINEAR ELEMENTS ON NONUNIFORM TRIANGULATIONS显示文摘We examine a simple averaging formula for the gradieni of linear finite elemelitsin Rd whose interpolation order in the Lq-norm is O(h2) for d < 2q and nonuniformtriangulations. For elliptic problems in R2 we derive an interior superconvergencefor the averaged gradient over quasiuniform triangulations. Local error estimatesup to a regular part of the boundary and the effect of numerical integration arealso investigated.I. Hlavacek M. Krizek(Mathematical Institute, Zitna 25, CZ-11567, Prague 1, Czech Republic) 1996Journal of Computational Mathematics1996,14,4:0
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