RT Journal Article
T1 Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method
A1 Flores, Jesús
A1 García, Ángel
A1 Negreanu Pruna, Mihaela
A1 Salete, Eduardo
A1 Ureña, Francisco
A1 Vargas Ureña, Antonio Manuel
AB The applications of the Eikonal and stationary heat transfer equations in broad fields of science and engineering are the motivation to present an implementation, not only valid for structured domains but also for completely irregular domains, of the meshless Generalized Finite Difference Method (GFDM). In this paper, the fully non-linear Eikonal equation and the stationary heat transfer equation with variable thermal conductivity and source term are solved in 2D. The explicit formulae for derivatives are developed and applied to the equations in order to obtain the numerical schemes to be used. Moreover, the numerical values that approximate the functions for the considered domain are obtained. Numerous examples for both equations on irregular 2D domains are exposed to underline the effectiveness and practicality of the method.
PB MPDI
SN 2227-7390
YR 2022
FD 2022-01-21
LK https://hdl.handle.net/20.500.14352/72511
UL https://hdl.handle.net/20.500.14352/72511
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Escuela Técnica Superior de Ingenieros Industriales (UNED)
DS Docta Complutense
RD 18 abr 2025