For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.
|Title:||Algebraic multilevel iteration methods: Application to nonconforming finite element discretizations|
|Seminar:||CCMA PDEs and Numerical Methods Seminar Series|
|Speaker:||Johannes Kraus, Austrian Academy of Sciences|
|Algebraic multilevel iteration (AMLI) has been introduced in the late
eighties by Axelsson and Vassilevski as a powerful tool for efficiently
solving systems of linear algebraic equations arising from conforming
finite element discretization of (elliptic) partial differential equations.
In this talk we review linear and nonlinear AMLI algorithms, comment on their computational complexity and recall their basic convergence properties.
Next we present some recent developments in extending the theory of
AMLI methods to nonconforming finite element discretizations and
to vector-field problems such as linear elasticity systems, and to
variational problems in H(div). A key issue in the construction of the main
components of any AMLI algorithm is the robustness of the
resulting preconditioner with respect to certain problem parameters.
Numerical experiments are presented that demonstrate the optimality of
the considered AMLI methods.|
Room Reservation Information
|Date:||01 / 25 / 2010|
|Time:||03:35pm - 04:25pm|