Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem
Applications of Mathematics (2014)
- Volume: 59, Issue: 3, page 285-301
- ISSN: 0862-7940
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topLiu, Baoqing, and Du, Qikui. "Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem." Applications of Mathematics 59.3 (2014): 285-301. <http://eudml.org/doc/261145>.
@article{Liu2014,
abstract = {In this paper, by the Kirchhoff transformation, a Dirichlet-Neumann (D-N) alternating algorithm which is a non-overlapping domain decomposition method based on natural boundary reduction is discussed for solving exterior anisotropic quasilinear problems with circular artificial boundary. By the principle of the natural boundary reduction, we obtain natural integral equation for the anisotropic quasilinear problems on circular artificial boundaries and construct the algorithm and analyze its convergence. Moreover, the convergence rate is obtained in detail for a typical domain. Finally, some numerical examples are presented to illustrate the feasibility of the method.},
author = {Liu, Baoqing, Du, Qikui},
journal = {Applications of Mathematics},
keywords = {quasilinear elliptic equation; domain decomposition method; natural integral equation; quasilinear elliptic equation; domain decomposition method; natural integral equation; Dirichlet-Neumann alternating algorithm; circular artificial boundary; natural boundary reduction; convergence; algorithm; numerical examples},
language = {eng},
number = {3},
pages = {285-301},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem},
url = {http://eudml.org/doc/261145},
volume = {59},
year = {2014},
}
TY - JOUR
AU - Liu, Baoqing
AU - Du, Qikui
TI - Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 285
EP - 301
AB - In this paper, by the Kirchhoff transformation, a Dirichlet-Neumann (D-N) alternating algorithm which is a non-overlapping domain decomposition method based on natural boundary reduction is discussed for solving exterior anisotropic quasilinear problems with circular artificial boundary. By the principle of the natural boundary reduction, we obtain natural integral equation for the anisotropic quasilinear problems on circular artificial boundaries and construct the algorithm and analyze its convergence. Moreover, the convergence rate is obtained in detail for a typical domain. Finally, some numerical examples are presented to illustrate the feasibility of the method.
LA - eng
KW - quasilinear elliptic equation; domain decomposition method; natural integral equation; quasilinear elliptic equation; domain decomposition method; natural integral equation; Dirichlet-Neumann alternating algorithm; circular artificial boundary; natural boundary reduction; convergence; algorithm; numerical examples
UR - http://eudml.org/doc/261145
ER -
References
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