Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems

2010 ◽  
Vol 270 (1) ◽  
pp. 172-183
Author(s):  
J. -P. Lohéac
Keyword(s):  
Mixed Boundary ◽  
Hyperbolic Systems ◽  
Boundary Stabilization ◽  
Boundary Problems ◽  
Mixed Boundary Problems

scholarly journals A General Algorithm of the Boundary Integral Method for Solving Laplace’s Mixed Boundary Value Problem

2021 ◽  
pp. 71-85
Author(s):  
Rajesh Kumar Pal ◽  
Pradeep Kothiyal ◽  
Deependra Nigam
Keyword(s):  
Integral Method ◽  
Mixed Boundary ◽  
Practical Interest ◽  
Boundary Elements ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
General Algorithm ◽  
Boundary Problems ◽  
Mixed Boundary Problems ◽  
Good Agreement

Boundary elements have emerged as a powerful alternative to finite elements particularly in cases where better accuracy is required. The most important features of boundary elements however is that it only requires descretization of the surface rather than the volume. Here, A general algorithm of the boundary integral method has been formulated for solving elliptic partial differential equations. The broad applicability of the approach is illustrated with a problem of practical interest giving the solution of the Laplace equation for potential flow with mixed boundary problems. The results and patterns are shown in tables and figures and compared well with Brebbia [1] are found in good agreement.

Stress intensity coefficients determination of dynamical mixed boundary problems for cracks in elastic space

2010 ◽  
Vol 6 (1) ◽  
pp. 92-119
Author(s):  
Alexander G. Bagdoev ◽  
Anna V. Vardanyan ◽  
Sedrak V. Vardanyan ◽  
Ashot N. Martirosyan
Keyword(s):  
Stress Intensity ◽  
Mixed Boundary ◽  
Elastic Space ◽  
Boundary Problems ◽  
Mixed Boundary Problems
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