Day

Program

Sunday 8

Arrival: secure your lodging.
Your Residence Hall is McIntyre Hall.  You should be able to check in at the desk after 12:00 pm on Sunday June 8.  Simply tell the desk attendant that you are with the RMMC/MATH conference.

Monday 9

Morning:
Jan Hesthaven, "Introduction, motivation, and brief history of discontinuous Galerkin finite element methods (DG-FEM)" (50 min).
Jan Hesthaven, "The basic elements of DG-FEM" (50 min).

Afternoon:
Liqiang Wang, "Introduction to Distributed Parallel Computing" (2 hours)

Tuesday 10

Morning:
Jan Hesthaven, "DG-FEM for linear systems and more general equations" (50 min).
Jan Hesthaven, "Overview of theoretical results and discrete stability for linear smooth problems" (50 min).

Afternoon:
Amik St-Cyr, "Introduction to Domain Decomposition Methods" (2 hours).

Wednesday 11

Morning:
Jan Hesthaven, "Implementation Details" (50 min).

Afternoon:
Amik St-Cyr, "Domain Decomposition Methods" (2 hours).

Thursday 12

Morning:
Jan Hesthaven, "Nonlinear problems and basic properties of DG-FEM" (50 min).
Jan Hesthaven, "Problems with non-smooth solutions and shocks" (50 min).

Afternoon:
Jan Hesthaven, Hands-on: "Matlab based hands-on exercises for 1D linear problems" (2 hours).

Friday 13

Morning:
Jan Hesthaven, "Higher order operators and global problems" (50 min).

Afternoon:
Jan Hesthaven, Hands-on: "Matlab based hands-on exercises for 1D nonlinear problems" (2 hours).

Saturday 14

Morning:

Afternoon:

Sunday 15

Morning:

Afternoon:

Monday 16

Morning:
Tim Warburton, "Mesh Topology: generation, representation and connectivity. Differences in serial and parallel algorithms." (50 min).
Tim Warburton, "Mesh Geometry: coordinate transforms, geometric factors, and boundary normals." (50 min).

Afternoon:

Tuesday 17

Morning:
Tim Warburton, "Nodes & modes: piecewise polynomial representation on unstructured meshes. Basic operations on reference elements (integration, differentiation, interpolation)" (50 min).
Tim Warburton, "Building blocks of DG-FEM for time-dependent computations. Lift operators. Example formulation for the scalar advection equation." (50 min).

Afternoon:

Amik St-Cyr, "The High-Order-Methods-Modeling-Environment (HOMME) (hands on)" (1–1½ hours).

Wednesday 18

Morning:
Tim Warburton, "DG-FEM for hyperbolic systems of linear partial differential equations. Example formulation for Maxwell's equations." (50 min).

Afternoon:

Amik St-Cyr, "HOMME: Shallow water examples" (2 hours).

Thursday 19

Morning:
Tim Warburton, "Approaches for parallel implementations of DG-FEM." (50 min).
Tim Warburton, "Flux formulations for nonlinear hyperbolic systems. Limiters." (50 min).

Afternoon:
Tim Warburton, Hands-on: "i. MATLAB based exercises for DG-FEM in two-dimensions. ii. Experiments with lightweight parallel DG-FEM implementations." (2 hours)

Friday 20

Morning:
Tim Warburton, "DG-FEM for elliptic partial differential equations. Solution of large linear systems and other challenges." (50 min).

Afternoon: