Galerkin method

Wednesday, October 15, 2014 - 9:00am - 9:50am
Frank Giraldo (Naval Postgraduate School)
This talk will describe a new discontinuous Galerkin model that we’ve developed for use in many geophysical fluid dynamics including: 1) the atmosphere and 2) coastal ocean; we will focus on the coastal ocean in this talk. The strengths of this model include: 1) arbitrarily high-order spatial discretization via the discontinuous Galerkin method, 2) high-order accuracy in time using both explicit and implicit-explicit time-integrators, 3) high-order wetting and drying, and 4) adaptive mesh refinement.
Thursday, October 16, 2014 - 9:00am - 9:50am
Sébastien Blaise (Université Catholique de Louvain)
Several tsunami events occurred during the past decade, and the models used for their simulation have been constantly improved. We present different numerical tools likely to improve the simulation of tsunamis, in order to obtain a fast and accurate tsunami forecast in a short amount of time. Based on a high-order discontinuous Galerkin discretization, hp-refinement is introduced, as well as parallel dynamic load balancing. Adjoint-based data assimilation is used to reconstruct the initial condition automatically from buoy measurements.
Saturday, October 16, 2010 - 11:00am - 11:45am
Raul Tempone (King Abdullah University of Science & Technology)
Approximation of functions using polynomial or piecewise polynomial functions either by projection or interpolation. Stochastic Galerkin method (SGM): derivation; algorithmic aspects; preconditioning of the global system. Stochastic Collocation Method (SCM): collocation on tensor grids; sparse grid approximation; construction of generalized sparse grids
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