# CARMA Seminar

## Tuesday, 21st Nov 2017

V205, Mathematics Building

# Ernst Stephan

(Institute for Applied Mathematics, Leibniz University Hannover)

# Adaptive and higher-order time domain boundary elements for the wave equation

We present $h$ and $p$-versions of the time domain boundary element method for boundary and screen problems for the wave equation in $\mathbb{R}^3$. First, graded meshes are shown to recover optimal approximation rates for solution in the presence of edge and corner singularities on screens. Then an a posteriori error estimate is presented for general discretizations, and it gives rise to adaptive mesh refinement procedures. We also discuss preliminary results for $p$ and $hp$-versions of the time domain boundary element method. Numerical experiments illustrate the theory. Joint with H. Gimperlein and D. Stark, Heriot-Watt University, Edinburgh.

# Australian Algebra Conference 01

## Monday, 27th Nov 2017 — Wednesday, 29th Nov 2017

[University of Technology Sydney]

CARMA is sponsoring "Australian Algebra Conference 01", to be held at UTS in November. Please visit the conference website for more information.

# CARMA Retreat

## Thursday, 30th Nov 2017

Pacific East Room, Noah's on the Beach [Newcastle, NSW]

# EViMS 3

## Monday, 5th Feb 2018 — Tuesday, 6th Feb 2018

(Location to be decided)

Dates to be confirmed. Information will be available on the workshop website.

# Graph Drawing

## Monday, 5th Feb 2018 — Friday, 23rd Feb 2018

V205, Mathematics Building

This course, given by Peter Eades from the University of Sydney, is about geometric representations of graphs, and algorithms that take a graph as input and produce a visualization (aka drawing) of the graph as output. We discuss the quality of such visualizations of graphs from the human perceptual point of view.

The course discusses both small and large graphs. For small graphs, we examine algorithms that use the concepts of topological graph theory. For large graphs, we examine methods based on minimising energy in physical system, and well as methods based on spectral graph theory.