Kansa method for problems with weak discontinuity

2019 ◽  
Author(s):  
Artur Krowiak ◽  
Renata Filipowska
Keyword(s):  
Weak Discontinuity ◽  
Kansa Method

The Higher Order Asymptotic Fields for Plane Interfacial Crack with Physical Weak-Discontinuity

2011 ◽  
Vol 217-218 ◽  
pp. 1314-1318
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Peng Zhang ◽  
Jun Feng Liu
Keyword(s):  
Experimental Investigation ◽  
Numerical Analysis ◽  
Asymptotic Analysis ◽  
Theoretical Basis ◽  
Engineering Application ◽  
Interfacial Crack ◽  
Higher Order ◽  
Weak Discontinuity ◽  
Displacement Method ◽  
Asymptotic Fields

The higher order discontinuous asymptotic fields which are similar to the Williams’ solutions of homogenous material are obtained by the displacement method and asymptotic analysis for a plane crack at the physical weak-discontinuous interface in non-homogeneous materials. The results provide a theoretical basis for the numerical analysis, experimental investigation and the engineering application of physical weak-discontinuous fracture.

Surfaces of weak discontinuity for cubically anisotropic solid bodies

2000 ◽  
Vol 73 (3) ◽  
pp. 651-654
Author(s):  
S. M. Bosyakov ◽  
O. N. Sklyar
Keyword(s):  
Weak Discontinuity ◽  
Anisotropic Solid ◽  
Solid Bodies

Numerical and analytical investigation for solutions of fractional Oskolkov–Benjamin–Bona–Mahony–Burgers equation describing propagation of long surface waves

2021 ◽  
Author(s):  
B Sagar ◽  
S. Saha Ray
Keyword(s):  
Finite Difference ◽  
Numerical Scheme ◽  
Soliton Solutions ◽  
Type Equation ◽  
Analytical Investigation ◽  
Stability And Convergence ◽  
Kudryashov Method ◽  
Collocation Approach ◽  
The Stability ◽  
Kansa Method

In this paper, a novel meshless numerical scheme to solve the time-fractional Oskolkov–Benjamin–Bona–Mahony–Burgers-type equation has been proposed. The proposed numerical scheme is based on finite difference and Kansa-radial basis function collocation approach. First, the finite difference scheme has been employed to discretize the time-fractional derivative and subsequently, the Kansa method is utilized to discretize the spatial derivatives. The stability and convergence analysis of the time-discretized numerical scheme are also elucidated in this paper. Moreover, the Kudryashov method has been utilized to acquire the soliton solutions for comparison with the numerical results. Finally, numerical simulations are performed to confirm the applicability and accuracy of the proposed scheme.

scholarly journals REFLECTION OF A WEAK DISCONTINUITY OF THE AXIS AND THE PLANE OF SYMMETRY

2014 ◽  
Vol 11 (6) ◽  
pp. 1025-1030
Author(s):  
Viktorovich
Keyword(s):  
Weak Discontinuity

A stress recovery procedure for laminated composite plates based on strong-form equilibrium enforced via the RBF Kansa method

2020 ◽  
Vol 244 ◽  
pp. 112292
Author(s):  
Andrea Chiappa ◽  
Corrado Groth ◽  
Alessandro Reali ◽  
Marco Evangelos Biancolini
Keyword(s):  
Laminated Composite ◽  
Composite Plates ◽  
Strong Form ◽  
Stress Recovery ◽  
Laminated Composite Plates ◽  
Kansa Method ◽  
Recovery Procedure

KANSA METHOD BASED ON THE HAUSDORFF FRACTAL DISTANCE FOR HAUSDORFF DERIVATIVE POISSON EQUATIONS

Fractals ◽  
2018 ◽  
Vol 26 (04) ◽  
pp. 1850084 ◽  
Author(s):  
FAJIE WANG ◽  
WEN CHEN ◽  
CHUANZENG ZHANG ◽  
QINGSONG HUA
Keyword(s):  
Shape Parameter ◽  
Cross Validation ◽  
Optimal Shape ◽  
High Dimensional ◽  
Irregular Domain ◽  
Computationally Efficient ◽  
Poisson Equations ◽  
A New Technique ◽  
Leave One Out ◽  
Kansa Method

This study proposes the radial basis function (RBF) based on the Hausdorff fractal distance and then applies it to develop the Kansa method for the solution of the Hausdorff derivative Poisson equations. The Kansa method is a meshless global technique promising for high-dimensional irregular domain problems. It is, however, noted that the shape parameter of the RBFs can have a significant influence on the accuracy and robustness of the numerical solution. Based on the leave-one-out cross-validation algorithm proposed by Rippa, this study presents a new technique to choose the optimal shape parameter of the RBFs with the Hausdorff fractal distance. Numerical experiments show that the Kansa method based on the Hausdorff fractal distance is highly accurate and computationally efficient for the Hausdorff derivative Poisson equations.

Interaction of a characteristic shock with a weak discontinuity in a relaxing gas

2007 ◽  
Vol 60 (1) ◽  
pp. 43-53 ◽  
Author(s):  
J. Jena ◽  
V. D. Sharma
Keyword(s):  
Weak Discontinuity ◽  
Characteristic Shock ◽  
Relaxing Gas

Evolution of Contact and Weak Discontinuity Waves in Two Phase Drift Flux Model

2020 ◽  
Vol 6 (5) ◽  
Author(s):  
Sweta Govekar ◽  
Pabitra Kumar Pradhan ◽  
Manoj Pandey
Keyword(s):  
Weak Discontinuity ◽  
Two Phase ◽  
Phase Drift ◽  
Drift Flux Model ◽  
Drift Flux ◽  
Discontinuity Waves ◽  
Flux Model
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