A posteriori error analysis for elliptic pdes on domains with complicated structures
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[1] Rüdiger Verfürth,et al. A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .
[2] E. Stein. Singular Integrals and Di?erentiability Properties of Functions , 1971 .
[3] Willy Dörfler,et al. An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation , 1998, Math. Comput..
[4] P. Clément. Approximation by finite element functions using local regularization , 1975 .
[5] W. Hackbusch,et al. Composite finite elements for the approximation of PDEs on domains with complicated micro-structures , 1997 .
[6] P. Grisvard. Elliptic Problems in Nonsmooth Domains , 1985 .
[7] W. Hackbusch,et al. Composite finite elements for problems containing small geometric details , 1997 .
[8] Carsten Carstensen,et al. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM , 2002, Math. Comput..
[9] Joseph E. Pasciak. The Mathematical Theory of Finite Element Methods (Susanne C. Brenner and L. Ridgway Scott) , 1995, SIAM Rev..
[10] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[11] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[12] Claes Johnson,et al. Computational Differential Equations , 1996 .
[13] S. Sauter,et al. Extension operators and approximation on domains containing small geometric details , 1999 .
[14] Carsten Carstensen,et al. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM , 2002, Math. Comput..
[15] C. Carstensen,et al. Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods , 2000 .
[16] G. Fix. Review: Philippe G. Ciarlet, The finite element method for elliptic problems , 1979 .
[17] H. Weinberger,et al. An optimal Poincaré inequality for convex domains , 1960 .