High Order Smoothness and Roughness in Banach Spaces

2000 ◽  
Vol 50 (1) ◽  
pp. 75-86
Author(s):  
R. Gonzalo
Keyword(s):  
Banach Spaces ◽  
High Order ◽  
Order Smoothness ◽  
High Order Smoothness

High order smoothness

1987 ◽  
Vol 50 (1-2) ◽  
pp. 17-20 ◽  
Author(s):  
M. J. Evans
Keyword(s):  
High Order ◽  
Order Smoothness ◽  
High Order Smoothness

Optimization MRI Cylindrical Coils Using Discretized Stream Function With High Order Smoothness

2012 ◽  
Vol 48 (3) ◽  
pp. 1179-1188 ◽  
Author(s):  
Zhenyu Liu ◽  
Feng Jia ◽  
Jürgen Hennig ◽  
Jan G. Korvink
Keyword(s):  
Stream Function ◽  
High Order ◽  
Order Smoothness ◽  
High Order Smoothness

HIGH ORDER SMOOTHNESS

1985 ◽  
Vol 11 (1) ◽  
pp. 81
Author(s):  
Evans
Keyword(s):  
High Order ◽  
Order Smoothness ◽  
High Order Smoothness

Approximate high order smoothness

1993 ◽  
Vol 61 (3-4) ◽  
pp. 369-388 ◽  
Author(s):  
Z. Buczolich ◽  
M. J. Evans ◽  
P. D. Humke
Keyword(s):  
High Order ◽  
Order Smoothness ◽  
High Order Smoothness

APPROXIMATE HIGH ORDER SMOOTHNESS

1990 ◽  
Vol 16 (1) ◽  
pp. 45
Author(s):  
Evans
Keyword(s):  
High Order ◽  
Order Smoothness ◽  
High Order Smoothness

scholarly journals On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
S. Amat ◽  
C. Bermúdez ◽  
S. Busquier ◽  
M. J. Legaz ◽  
S. Plaza
Keyword(s):  
Banach Spaces ◽  
Integral Equations ◽  
Iterative Methods ◽  
Nonlinear Equations ◽  
Numerical Experiments ◽  
High Order ◽  
High Order Iterative Methods

This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. Some numerical experiments, where the analyzed methods present better behavior than some classical schemes, are presented. These applications include the approximation of some quadratic and integral equations.

scholarly journals Reproducing Kernel Element Method for Galerkin Solution of Elastostatic Problems

2012 ◽  
Vol 8 (16) ◽  
pp. 71-96
Author(s):  
Mario J Juha
Keyword(s):  
Stiffness Matrix ◽  
Reproducing Kernel ◽  
Dimensional Space ◽  
Shape Functions ◽  
Computational Implementation ◽  
Galerkin Solution ◽  
Order Smoothness ◽  
High Order Smoothness ◽  
Element Method ◽  
Reproducing Kernel Element

The Reproducing Kernel Element Method (RKEM) is a relatively new technique developed to have two distinguished features: arbitrary high order smoothness and arbitrary interpolation order of the shape functions. This paper provides a tutorial on the derivation and computational implementation of RKEM for Galerkin discretizations of linear elastostatic problems for one and two dimensional space. A key characteristic of RKEM is that it do not require mid-side nodes in the elements to increase the interpolatory power of its shape functions, and contrary to meshless methods, the same mesh used to construct the shape functions is used for integration of the stiffness matrix. Furthermore, some issues about the quadrature used for integration arediscussed in this paper. Its hopes that this may attracts the attention of mathematicians.

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