New Developments for Initial Boundary Value Problems: Theory and Applications
TITLE:
New Developments for Initial Boundary Value Problems: Theory and Applications
DATE:
Thursday, January 10th, 2019
TIME:
3:30 PM
LOCATION:
GMCS-314
SPEAKER:
Jan Nordstrom, Professor in Scientific Computing, Head of Division of Computational Mathematics,
Department of Mathematics, Linkoping University, Sweden.
ABSTRACT:
During the last decade, provably stable high order methods for initial-boundary-
value-problems have been developed. The stability is due to the use of so-called
Summation-By-Parts (SBP) operators , penalty techniques for implementing boundary
and interface conditions using Simultaneous Approximation Terms (SAT), and the
energy method for proving stability.
In this talk we will present SBP-SAT technique and relate it to the approximated
initial-boundary-value-problem.
In particular we will discuss the coupling of incompressible and compressible
Navier-Stokes equations, encapsulation techniques for difference operators on
curvilinear grids, inflow boundary conditions for internal flow calculations,
provably stable filtering techniques and multigrid methods for hyperbolic problems.
Applications can be found in aeronautics, weather prediction, oceanography and
all kinds of problems involving signal and sound propagation.
HOST:
Dr. David Kopriva, CSRC Research Professor
DOWNLOAD: