scholarly journals A weak formulation of boundary integral equations, with application to elasticity problems

1984 ◽  
Vol 8 (2) ◽  
pp. 75-80 ◽  
Author(s):  
Stefano Alliney ◽  
Antonio Tralli
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Weak Formulation ◽  
Elasticity Problems

Equivalent boundary integral equations with indirect variables for plane elasticity problems

2003 ◽  
Vol 24 (12) ◽  
pp. 1390-1397
Author(s):  
Zhang Yao-ming ◽  
Wen Wei-dong ◽  
Zhang Zuo-quan ◽  
Sun Huan-chun ◽  
Lü He-xiang
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Plane Elasticity ◽  
Boundary Integral ◽  
Equivalent Boundary ◽  
Elasticity Problems

Nonsingular Boundary Integral Equations for Two-Dimensional Anisotropic Elasticity

2000 ◽  
Vol 67 (3) ◽  
pp. 618-621 ◽  
Author(s):  
K.-C. Wu
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Anisotropic Elasticity ◽  
Boundary Integral ◽  
Two Dimensional ◽  
Numerical Example ◽  
Elasticity Problems ◽  
Gaussian Quadratures

Nonsingular boundary integral equations for two-dimensional anisotropic elasticity problems are developed. The integral equations can be solved numerically by Gaussian quadratures. A numerical example is given to illustrate the effectiveness of the integral equations. [S0021-8936(00)00303-2]

scholarly journals Energetic BEM for the numerical analysis of 2D Dirichlet damped wave propagation exterior problems

2017 ◽  
Vol 8 (1) ◽  
pp. 103-127
Author(s):  
A. Aimi ◽  
M. Diligenti ◽  
C. Guardasoni
Keyword(s):  
Wave Propagation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Hyperbolic Partial Differential Equations ◽  
Weak Formulation ◽  
Exterior Problems ◽  
Element Method

Abstract Time-dependent problems modeled by hyperbolic partial differential equations can be reformulated in terms of boundary integral equations and solved via the boundary element method. In this context, the analysis of damping phenomena that occur in many physics and engineering problems is a novelty. Starting from a recently developed energetic space-time weak formulation for 1D damped wave propagation problems rewritten in terms of boundary integral equations, we develop here an extension of the so-called energetic boundary element method for the 2D case. Several numerical benchmarks, whose numerical results confirm accuracy and stability of the proposed technique, already proved for the numerical treatment of undamped wave propagation problems in several dimensions and for the 1D damped case, are illustrated and discussed.

scholarly journals A numerical study of energetic BEM-FEM applied to wave propagation in 2D multidomains

2014 ◽  
Vol 96 (110) ◽  
pp. 5-22 ◽  
Author(s):  
A. Aimi ◽  
L. Desiderio ◽  
M. Diligenti ◽  
C. Guardasoni
Keyword(s):  
Wave Propagation ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Numerical Study ◽  
Boundary Integral ◽  
Boundary Element Methods ◽  
Weak Formulation ◽  
Multilayered Media ◽  
The Stability ◽  
Coupling Algorithm

Starting from a recently developed energetic space-time weak formulation of boundary integral equations related to wave propagation problems defined on single and multidomains, a coupling algorithm is presented, which allows a flexible use of finite and boundary element methods as local discretization techniques, in order to efficiently treat unbounded multilayered media. Partial differential equations associated to boundary integral equations will be weakly reformulated by the energetic approach and a particular emphasis will be given to theoretical and experimental analysis of the stability of the proposed method.

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