Details
| Original language | English |
|---|---|
| Pages (from-to) | 1271-1292 |
| Number of pages | 22 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 38 |
| Issue number | 5 |
| Publication status | Published - 13 Jul 2022 |
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.
Keywords
- complex computational domains, generalized moving least squares approximation, jump boundary conditions, stochastic elliptic interface problems, thin film elliptic interface problem
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Numerical Methods for Partial Differential Equations, Vol. 38, No. 5, 13.07.2022, p. 1271-1292.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems
AU - Abbaszadeh, Mostafa
AU - Dehghan, Mehdi
AU - Khodadadian, Amirreza
AU - Heitzinger, Clemens
N1 - Funding Information: FWF (Austrian Science Fund) START Project no. Y660 PDE Models for Nanotechnology Funding information Funding Information: The authors are very grateful to the reviewers for carefully reading this paper and for their comments and suggestions which have improved the paper. A. Khodadadian and C. Heitzinger acknowledge financial support by FWF (Austrian Science Fund) START Project no. Y660 PDE Models for Nanotechnology.
PY - 2022/7/13
Y1 - 2022/7/13
N2 - 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.
AB - 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.
KW - complex computational domains
KW - generalized moving least squares approximation
KW - jump boundary conditions
KW - stochastic elliptic interface problems
KW - thin film elliptic interface problem
UR - http://www.scopus.com/inward/record.url?scp=85099846621&partnerID=8YFLogxK
U2 - 10.1002/num.22742
DO - 10.1002/num.22742
M3 - Article
AN - SCOPUS:85099846621
VL - 38
SP - 1271
EP - 1292
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
SN - 0749-159X
IS - 5
ER -