About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Dai, Xiaoying ; He, Lianhua ; Zhou, Aihui
Adaptive finite element analysis based on perturbation arguments. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 62-71
MSC: 35J25, 35J60, 35P15, 35P30, 65N12, 65N25, 65N30 | MR 3204453 | Zbl 1313.65300
Keywords:
adaptive finite element method; elliptic partial differential equations; perturbation argument; boundary value problem; eigenvalue problem; convergence; nonlinear boundary value problem; nonlinear eigenvalue problem
Summary:
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.
Partner of
EuDML logo