full
search.png

Search

close.png

Cancel

arrow
Volume 31, Issue 3
The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle

Baoqing Liu & Qikui Du

DOI: 10.4208/jcm.1212-m3906

J. Comp. Math., 31 (2013), pp. 308-325.

Published online: 2013-06

Preview Full PDF 2756 28459

Cited by

google scholar semantic scholar
Export citation
  • Abstract

Based on the Kirchhoff transformation and the natural boundary element method, we investigate a coupled natural boundary element method and finite element method for quasi-linear problems in a bounded or unbounded domain with a concave angle. By the principle of the natural boundary reduction, we obtain natural integral equation on circular arc artificial boundaries, and get the coupled variational problem and its numerical method. Moreover, the convergence of approximate solutions and error estimates are obtained. Finally, some numerical examples are presented to show the feasibility of our method. Our work can be viewed as an extension of the existing work of H.D. Han et al..

  • Keywords

Quasilinear elliptic equation, Concave angle domain, Natural integral equation.

  • AMS Subject Headings

65N30, 35J65.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-31-308, author = {Baoqing Liu and Qikui Du}, title = {The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {3}, pages = {308--325}, abstract = {

Based on the Kirchhoff transformation and the natural boundary element method, we investigate a coupled natural boundary element method and finite element method for quasi-linear problems in a bounded or unbounded domain with a concave angle. By the principle of the natural boundary reduction, we obtain natural integral equation on circular arc artificial boundaries, and get the coupled variational problem and its numerical method. Moreover, the convergence of approximate solutions and error estimates are obtained. Finally, some numerical examples are presented to show the feasibility of our method. Our work can be viewed as an extension of the existing work of H.D. Han et al..

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1212-m3906}, url = {http://global-sci.org/intro/article_detail/jcm/9736.html} }
TY - JOUR T1 - The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle AU - Baoqing Liu & Qikui Du JO - Journal of Computational Mathematics VL - 3 SP - 308 EP - 325 PY - 2013 DA - 2013/06 SN - 31 DO - http://doi.org/10.4208/jcm.1212-m3906 UR - https://global-sci.org/intro/article_detail/jcm/9736.html KW - Quasilinear elliptic equation, Concave angle domain, Natural integral equation. AB -

Based on the Kirchhoff transformation and the natural boundary element method, we investigate a coupled natural boundary element method and finite element method for quasi-linear problems in a bounded or unbounded domain with a concave angle. By the principle of the natural boundary reduction, we obtain natural integral equation on circular arc artificial boundaries, and get the coupled variational problem and its numerical method. Moreover, the convergence of approximate solutions and error estimates are obtained. Finally, some numerical examples are presented to show the feasibility of our method. Our work can be viewed as an extension of the existing work of H.D. Han et al..

Baoqing Liu and Qikui Du. (2013). The Coupling of NBEM and FEM for Quasilinear Problems in a Bounded or Unbounded Domain with a Concave Angle. Journal of Computational Mathematics. 31 (3). 308-325. doi:10.4208/jcm.1212-m3906
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard