Further developments on boundary-field equation methods for nonlinear transmission problems

2021 ◽  
pp. 125262
Author(s):  
Gabriel N. Gatica ◽  
George C. Hsiao ◽  
Salim Meddahi
Keyword(s):  
Field Equation ◽  
Nonlinear Transmission ◽  
Boundary Field ◽  
Transmission Problems

scholarly journals Adaptive FE–BE coupling for strongly nonlinear transmission problems with Coulomb friction

2010 ◽  
Vol 117 (2) ◽  
pp. 307-332 ◽  
Author(s):  
Heiko Gimperlein ◽  
Matthias Maischak ◽  
Elmar Schrohe ◽  
Ernst P. Stephan
Keyword(s):  
Coulomb Friction ◽  
Nonlinear Transmission ◽  
Strongly Nonlinear ◽  
Transmission Problems

scholarly journals Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers

Fluids ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 101
Author(s):  
George C. Hsiao ◽  
Tonatiuh Sánchez-Vizuet
Keyword(s):  
Field Equation ◽  
Time Domain ◽  
Wave Structure ◽  
Scaling Factor ◽  
Time Dependent ◽  
Laplace Domain ◽  
Boundary Field ◽  
Structure Interaction ◽  
The Time Domain ◽  
Wave Structure Interaction

In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body that is immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided that an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions.

A boundary-field equation method for a nonlinear exterior elasticity problem in the plane

1996 ◽  
Vol 43 (1) ◽  
pp. 45-68 ◽  
Author(s):  
Rodolfo A. Araya ◽  
Gabriel N. Gatica ◽  
Hubert Mennickent
Keyword(s):  
Field Equation ◽  
Elasticity Problem ◽  
Equation Method ◽  
Boundary Field
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