Caruso, N. , FRESNEDA PORTILLO, CARLOS

No

Comput. Math. Appl.

Article

Científica

✓

✓

2.9

0.857

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85130521476&doi=10.1016%2fj.camwa.2022.05.010&partnerID=40&md5=28a7ceed246234c30440f58b4d22dedf

15/07/2022

000806364200004

2-s2.0-85130521476

10.1016/j.camwa.2022.05.010

The boundary domain integral equation (BDIE) method provides an alternative formulation to a boundary value problem (BVP) with variable coefficient in terms of integral operators defined on the boundary and the domain. In this paper, we apply two variants of the boundary domain integral equation, the united approach and the segregated approach, to the Dirichlet BVP for the steady diffusion equation with variable coefficient in two dimensions. Details on the derivation of such systems as well as equivalence and well-posedness results are provided. Moreover, we present the discretisation of the two integral equation systems and a comparison of the numerical behaviour of the approximated solutions obtained with the segregated approach and the united approach.

Variable coefficient; Parametrix; Dirichlet boundary value problem; United boundary-domain integral equations; Segregated united boundary-domain integral; equations; Single layer potential