Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems

Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens

doi:10.1002/num.22742

Record link:

http://hdl.handle.net/20.500.12708/139353

Title:

Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems

Citation:

Abbaszadeh, M., Dehghan, M., Khodadadian, A., & Heitzinger, C. (2022). Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems. Numerical Methods for Partial Differential Equations, 38(5), 1271–1292. https://doi.org/10.1002/num.22742

Publisher DOI:

10.1002/num.22742

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Abbaszadeh, Mostafa
Dehghan, Mehdi
Khodadadian, Amirreza
Heitzinger, Clemens

Organisational Unit:

E101-03-2 - Forschungsgruppe Maschinelles Lernen und Unsicherheitsquantifizierung

Journal:

Numerical Methods for Partial Differential Equations

ISSN:

0749-159X

Date (published):

2022

Number of Pages:

Publisher:

WILEY

Peer reviewed:

Yes

Keywords:

complex computational domains; generalized moving least squares approximation; jump boundary conditions; stochastic elliptic interface problems; thin film elliptic interface problem

Abstract:

A truly meshless numerical procedure to simulate stochastic elliptic interface problems is developed. The meshless method is based on the generalized moving least squares approximation. This method can be implemented in a straightforward manner and has a very good accuracy for solving this kind of problems. Several realistic examples are presented to investigate the efficiency of the new procedure. Furthermore, compared with other meshless methods that have been developed, the present technique needs less CPU time.

Project title:

Partielle Differentialgleichungen für Nanotechnologie: Y660-N25 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))

Research Areas:

Modeling and Simulation: 100%

Science Branch:

1010 - Mathematik: 100%

License:

In Copyright

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