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An Effective Indirect Trefftz Method for Solving Poisson Equation in 2D
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@Article{JPDE-30-1,
author = {You , Caixia and Zhang , Guangde},
title = {An Effective Indirect Trefftz Method for Solving Poisson Equation in 2D},
journal = {Journal of Partial Differential Equations},
year = {2017},
volume = {30},
number = {1},
pages = {1--10},
abstract = { In the solution domain, the inhomogeneous part of Poisson equation is approximated with the 5-order polynomial using Galerkin method, and the particular solution of the polynomial can be determined easily. Then, the solution of the Poisson equation is approximated by superposition of the particular solution and the Tcomplete functions related to the Laplace equation. Unknown parameters are determined by Galerkinmethod, so that the approximate solution is to satisfy the boundary conditions. Comparison with analogous results of others numerical method, the two calculating examples of the paper indicate that the accuracy of themethod is very high, which also has a very fast convergence rate.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v30.n1.1},
url = {http://global-sci.org/intro/article_detail/jpde/5067.html}
}
TY - JOUR
T1 - An Effective Indirect Trefftz Method for Solving Poisson Equation in 2D
AU - You , Caixia
AU - Zhang , Guangde
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 10
PY - 2017
DA - 2017/03
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n1.1
UR - https://global-sci.org/intro/article_detail/jpde/5067.html
KW - Poisson equation
KW - indirect Trefftz method
KW - Galerkin method
KW - boundary problem
KW - numerical method
AB - In the solution domain, the inhomogeneous part of Poisson equation is approximated with the 5-order polynomial using Galerkin method, and the particular solution of the polynomial can be determined easily. Then, the solution of the Poisson equation is approximated by superposition of the particular solution and the Tcomplete functions related to the Laplace equation. Unknown parameters are determined by Galerkinmethod, so that the approximate solution is to satisfy the boundary conditions. Comparison with analogous results of others numerical method, the two calculating examples of the paper indicate that the accuracy of themethod is very high, which also has a very fast convergence rate.
Caixia You & Guangde Zhang. (2019). An Effective Indirect Trefftz Method for Solving Poisson Equation in 2D.
Journal of Partial Differential Equations. 30 (1).
1-10.
doi:10.4208/jpde.v30.n1.1
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