The method of fundamental solutions (MFS) is known to produce highly accurate numerical results for elliptic boundary value problems (BVP) with smooth boundary conditions, posed in analytic domains. However, due to the analyticity of the shape functions in its approximation basis, the MFS is usually disregarded when the boundary functions possess singularities. In this work we present a modification of the classical MFS which can be applied for the numerical solution of the Laplace BVP with Dirichlet boundary conditions exhibiting jump discontinuities. In particular, a set of harmonic functions with discontinuous boundary traces is added to the MFS basis. The accuracy of the proposed method is compared with the results form the classical MFS.
Skip Nav Destination
Article navigation
21 July 2017
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016)
19–25 September 2016
Rhodes, Greece
Research Article|
July 21 2017
Applying the method of fundamental solutions to harmonic problems with singular boundary conditions
Svilen S. Valtchev;
Svilen S. Valtchev
a)
1CEMAT-IST,
University of Lisbon
, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal
2Department of Mathematics, ESTG -
Polytechnic Institute of Leiria
, Portugal
Search for other works by this author on:
Carlos J. S. Alves
Carlos J. S. Alves
b)
1CEMAT-IST,
University of Lisbon
, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal
3Department of Mathematics, IST -
University of Lisbon
, Portugal
Search for other works by this author on:
a)
Corresponding author: [email protected]
AIP Conf. Proc. 1863, 560020 (2017)
Citation
Svilen S. Valtchev, Carlos J. S. Alves; Applying the method of fundamental solutions to harmonic problems with singular boundary conditions. AIP Conf. Proc. 21 July 2017; 1863 (1): 560020. https://doi.org/10.1063/1.4992703
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
32
Views
Citing articles via
Inkjet- and flextrail-printing of silicon polymer-based inks for local passivating contacts
Zohreh Kiaee, Andreas Lösel, et al.
Design of a 100 MW solar power plant on wetland in Bangladesh
Apu Kowsar, Sumon Chandra Debnath, et al.
Effect of coupling agent type on the self-cleaning and anti-reflective behaviour of advance nanocoating for PV panels application
Taha Tareq Mohammed, Hadia Kadhim Judran, et al.
Related Content
A novel numerical meshless approach for electric potential estimation in transcranial stimulation
AIP Conference Proceedings (December 2015)