An adaptive refinement strategy for hp-finite element computations

Applied Numerical Mathematics

Volumn 26, Issue 1-2, 1998, Pages 165-178

  Ainsworth, Mark ^a   Senior, Bill ^a  

^a UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

Adaptive solution algorithm; hp version finite element method

Indexed keywords

ADAPTIVE ALGORITHMS; BOUNDARY VALUE PROBLEMS; ESTIMATION;

ADAPTIVE MESH REFINEMENT;

FINITE ELEMENT METHOD;

EID: 0031642814     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00083-4     Document Type: Article

References (10)

1. S. Adjerid, M. Aiffa and J.E. Flaherty, High-order finite-element methods for singularly perturbed elliptic and parabolic problems, SIAM J. Appl. Math. 55 (1995) 520-554.
2. M. Ainsworth and J.T. Oden, A procedure for a posteriori error estimation for h-p finite element methods, Comput. Methods Appl. Mech. Engrg. 101 (1992) 73-96.
3. M. Ainsworth and J.T. Oden, A unified approach to a posteriori error estimation based on element residual methods, Numer. Math. 65 (1993) 23-50.
4. I. Babuška and M. Suri, The h-p version of the finite element method with quasi-uniform meshes, RAIRO Modél. Math. Anal. Numér. 21 (1987) 199-238.
5. I. Babuška, B. Szabo and I.N. Katz, The p-version of the finite element method, SIAM J. Numer. Anal. 18 (1981) 515-545.
6. B.Q. Guo and I. Babuška, The h-p version of the finite element method. Part 1. The basic approximation results, Comput. Mech. 1 (1986) 21-41.
7. B.Q. Guo and I. Babuška, The h-p version of the finite element method. Part 2. General results and applications, Comput. Mech. 1 (1986) 203-226.
8. J.T. Oden, A. Patra and Y.S. Feng, An adaptive h-p strategy, in: A.K. Noor, Adaptive Multilevel and Hierarchical Computational Strategies, ASME Publications 157 (1992) 23-46.
9. J.T. Oden, W. Wu and M. Ainsworth, Three step h-p adaptive strategy for the incompressible Navier Stokes equations, in: I. Babuška et al., eds., Modeling, Mesh Generation and Adaptive Numerical Methods for Partial Differential Equations 75 (Springer, 1995) 347-366.
10. C. Schwab and M. Suri, The p- and hp-versions of the finite-element method for problems with boundary-layers, Math. Comp. 65 (1996) 1403-1429.