A New Method for the Numerical Treatment of Hemivariational Inequalities

2009 ◽  
Author(s):  
E.S. Mistakidis ◽  
P.D. Panagiotopoulos
Keyword(s):  
New Method ◽  
Hemivariational Inequalities ◽  
Numerical Treatment

scholarly journals A new method for numerical solution of checkerboard fields

2001 ◽  
Vol 1 (4) ◽  
pp. 157-173 ◽  
Author(s):  
Stein A. Berggren ◽  
Dag Lukkassen ◽  
Annette Meidell ◽  
Leon Simula
Keyword(s):  
Numerical Solution ◽  
Numerical Method ◽  
New Method ◽  
Numerical Treatment

We consider a generalized version of the standard checkerboard and discuss the difficulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities.

Interlayer Slip and Delamination Effect: A Hemivariational Inequality Approach

1987 ◽  
Vol 11 (1) ◽  
pp. 43-52 ◽  
Author(s):  
P.D. Panagiotopoulos ◽  
E.K. Koltsakis
Keyword(s):  
Point Method ◽  
Hemivariational Inequality ◽  
Hemivariational Inequalities ◽  
Interface Conditions ◽  
Numerical Treatment ◽  
Dynamic Problems ◽  
Elastic Structures ◽  
Numerical Examples ◽  
Interlayer Slip ◽  
Regularisation Method

In the present paper we formulate hemivariational inequalities describing the interlayer slip and delamination effect in elastic structures. After the formulation of the interface conditions which are of a nonmonotone multivalued nature, we derive hemivariational inequalities for the static and dynamic problems. Further some methods for the numerical treatment of the problems are given (regularisation method and substationarity-point method). Two numerical examples concerning simple adhesively connected elastic structures are given to illustrate the theory.

scholarly journals Hemiequilibrium problems

2004 ◽  
Vol 2004 (3) ◽  
pp. 235-244 ◽  
Author(s):  
Muhammad Aslam Noor
Keyword(s):  
Equilibrium Problems ◽  
Iterative Algorithms ◽  
New Method ◽  
Hemivariational Inequalities ◽  
Strong Monotonicity ◽  
Auxiliary Principle ◽  
Auxiliary Principle Technique ◽  
New Class ◽  
Special Cases ◽  
Special Case

We consider a new class of equilibrium problems, known as hemiequilibrium problems. Using the auxiliary principle technique, we suggest and analyze a class of iterative algorithms for solving hemiequilibrium problems, the convergence of which requires either pseudomonotonicity or partially relaxed strong monotonicity. As a special case, we obtain a new method for hemivariational inequalities. Since hemiequilibrium problems include hemivariational inequalities and equilibrium problems as special cases, the results proved in this paper still hold for these problems.

Selective Sampling and Orientation of Non-Homogeneous Tissues

1968 ◽  
Vol 26 ◽  
pp. 98-99
Author(s):  
C. C. Clawson ◽  
L. W. Anderson ◽  
R. A. Good
Keyword(s):  
Electron Microscopy ◽  
Electron Microscope ◽  
Light Microscopy ◽  
Random Sampling ◽  
New Method ◽  
Microscope Examination ◽  
Small Areas ◽  
Selective Sampling ◽  
Large Numbers ◽  
Specific Orientation

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.

Sign in / Sign up

Export Citation Format

Share Document