Premium
The h – p version of the finite element method for problems with interfaces
Author(s) -
Guo Benqi,
Oh HaeSoo
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620371007
Subject(s) - polygon mesh , finite element method , mathematics , sobolev space , degree of a polynomial , point (geometry) , convergence (economics) , interface (matter) , element (criminal law) , rate of convergence , polynomial , mathematical analysis , geometry , computer science , structural engineering , law , political science , computer network , channel (broadcasting) , bubble , maximum bubble pressure method , parallel computing , engineering , economics , economic growth
Regularities of the solutions of interface problems in two dimensions are described in the frame of the weighted Sobolev spaces and countably normed spaces. Based upon the regularity of solutions the geometric meshes and the distribution of polynomial degrees are properly designed so that the h – p version of the finite element method for interface problems can lead to the exponential rate of convergence. Numerical results on an elliptic equation with interfaces are presented. The optimal mesh factor, optimal degree factors, and optimal layer factors of the geometric mesh in neighbourhoods of singular points having varied intensities are discussed from both theoretical and practical point of view.