Approximation properties of the hp version of the finite element method

The paper surveys the approximation and convergence properties of the h-p version of the finite element method, the basic theoretical results together with the main ideas of the proofs. Numerical examples are given.

[1]  Ivo Babuška,et al.  Performance of the h–p version of the finite element method with various elements , 1993 .

[2]  Ivo Babuska,et al.  The p and h-p Versions of the Finite Element Method, Basic Principles and Properties , 1994, SIAM Rev..

[3]  B. Guo,et al.  The hp version of the finite element method Part 1 : The basic approximation results , 2022 .

[4]  I. Babuska,et al.  Rairo Modélisation Mathématique Et Analyse Numérique the H-p Version of the Finite Element Method with Quasiuniform Meshes (*) , 2009 .

[5]  B. Q. Guo,et al.  The h-p version of the finite element method for problems with nonhomogeneous essential boundary condition , 1989 .

[6]  Ivo Babuška,et al.  The h, p and h-p version of the finite element method: basis theory and applications , 1992 .

[7]  I. Babuska,et al.  Regularity and numerical solution of eigenvalue problems with piecewise analytic data , 1989 .

[8]  Howard C. Elman,et al.  Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture , 1992, SIAM J. Sci. Comput..

[9]  I. Babuska,et al.  The h , p and h-p versions of the finite element method in 1 dimension. Part II. The error analysis of the h and h-p versions , 1986 .

[10]  Ivo Babuška,et al.  The p - and h-p version of the finite element method, an overview , 1990 .

[11]  Ivo Babuška,et al.  On the Regularity of Elasticity Problems with Piecewise Analytic Data , 1993 .

[12]  Ivo Babuška,et al.  The Theory and Practice of the h-p Version of Finite Element Method. , 1987 .