Adaptive finite element analysis based on perturbation arguments

Dai, Xiaoying, He, Lianhua, and Zhou, Aihui. "Adaptive finite element analysis based on perturbation arguments." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 62-71. <http://eudml.org/doc/287835>.

@inProceedings{Dai2012,
abstract = {We review some numerical analysis of an adaptive finite element method (AFEM) for a class of elliptic partial differential equations based on a perturbation argument. This argument makes use of the relationship between the general problem and a model problem, whose adaptive finite element analysis is existing, from which we get the convergence and the complexity of adaptive finite element methods for a nonsymmetric boundary value problem, an eigenvalue problem, a nonlinear boundary value problem as well as a nonlinear eigenvalue problem.},
author = {Dai, Xiaoying, He, Lianhua, Zhou, Aihui},
booktitle = {Applications of Mathematics 2012},
keywords = {adaptive finite element method; elliptic partial differential equations; perturbation argument; boundary value problem; eigenvalue problem; convergence; nonlinear boundary value problem; nonlinear eigenvalue problem},
location = {Prague},
pages = {62-71},
publisher = {Institute of Mathematics AS CR},
title = {Adaptive finite element analysis based on perturbation arguments},
url = {http://eudml.org/doc/287835},
year = {2012},
}

TY - CLSWK
AU - Dai, Xiaoying
AU - He, Lianhua
AU - Zhou, Aihui
TI - Adaptive finite element analysis based on perturbation arguments
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 62
EP - 71
AB - We review some numerical analysis of an adaptive finite element method (AFEM) for a class of elliptic partial differential equations based on a perturbation argument. This argument makes use of the relationship between the general problem and a model problem, whose adaptive finite element analysis is existing, from which we get the convergence and the complexity of adaptive finite element methods for a nonsymmetric boundary value problem, an eigenvalue problem, a nonlinear boundary value problem as well as a nonlinear eigenvalue problem.
KW - adaptive finite element method; elliptic partial differential equations; perturbation argument; boundary value problem; eigenvalue problem; convergence; nonlinear boundary value problem; nonlinear eigenvalue problem
UR - http://eudml.org/doc/287835
ER -