Patrick Farrell, Associate Professor of Numerical Analysis and Scientific Computing, in the Mathematical Institute of Oxford University, presents the subject “BIFURCATIONS, BUCKLING AND FLOW TRANSITIONS: Scalable bifurcation analysis of nonlinear partial differential equations and variational inequalities” at RCGI. The event takes place on Wednesday, April 19, at 2:00 p.m., and is open to the public.
During the lecture, Farrell will present a new algorithm created to solve the equation f(u,λ) = 0, in which the parameter λ is variable.
This is a challenge for the areas of applied mathematics and engineering.
The algorithm was named “continued deflation” and, according to Farrell, it has three advantages: first, it is able to take into account disconnected bifurcation diagrams. The algorithms existing up to that time are able to compute only the part of the diagram that is continuously connected to the initial data. In second place: its implementation is extremely simple. And third: it can be scaled for very large discretizations, if there is a proper preconditioning factor
Date: April 19, 2017
Time: 2:00 p.m.
RCGI – FAPESP Shell Research Center for Gas Innovation,
Mechanical and Naval Engineering Building
Av. Professor Mello Moraes, 2231
University of São Paulo
Polytechnical School | Cidade Universitária