NDLI: On optimal node and polynomial degree distribution in one-dimensional $$hp$$ -FEM

Content Provider	Springer Nature Link
Author	Solin, Pavel Chleboun, Jan
Copyright Year	2012
Abstract	We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods and software that we use are described, and numerical results are presented.
Ending Page	88
Page Count	14
Starting Page	75
File Format	PDF
ISSN	0010485X
e-ISSN	14365057
Journal	Computing
Issue Number	1
Volume Number	95
Language	English
Publisher	Springer Vienna
Publisher Date	2012-11-16
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimal polynomial degree Boundary value problems $$hp$$ -FEM Boundary value problem Finite elements, Rayleigh-Ritz, Galerkin and collocation methods Software Engineering Computer Application in Administrative Data Processing Computer Science Mesh generation and refinement Artificial Intelligence (incl. Robotics) Information Systems Applications (incl. Internet) Optimal mesh Computer Communication Networks
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Computational Mathematics Numerical Analysis Computer Science Applications Software

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