https://www.math.uzh.ch/compmath/en/stas?key1=105
Title: Numerical modelling of acoustic waves - practice and theory
Abstract: Abstract: This project focusses on important aspects for the modelling of acoustic waves and consists of four thematic blocks. Each of these blocks are split into three parts which are structured as follows:
a) A brief presentation of the essential principles of the numerical method.
b) An implementation session, where the participants implement the methods in Python.
c) Finally each block contains a final session with numerical experiments to study the sensitivity of the method.
While the theory is presented in general spatial dimensions, the implementation and numerical experiments are for problems which are reduced to 1D but still preserve the characteristic features.
Block 1: (5 1/2 days)
a) Short introduction: Modelling of acoustic waves:
a1) From physical principles to mathematical model problems (1/2 day).
a2) Finite Elements of polynomial order p in one dimension (1 day)
b) Implementation and numerical quadrature (3 days)
c) Sensitivity analysis of the discretization by numerical experiments. (1 day)
Block 2 (2 1/2 days).
a) Graded mesh: a tool to resolve solution with singularities. (1/2 day)
b) Implementation of graded meshes (1 day)
c) Numerical experiments (1 day)
Block 3. Adaptive methods (3 days)
a) A posteriori error estimate and adaptive finite elements. (1 day)
b) Implementation of the error estimator (1 day)
c) Numerical experiments for problems with singularities (1 day)
Block 4: Whispering Gallery Modes (2 days)
a) From regular oscillations to whispering gallery modes (1 day)
b) Implementation of whispering examples (1/2 day)
c) Systematic studies of convergence and computational complexity (1/2 day)
This schedule is preliminary and depends on the time needed to conduct the different blocks and will be adapted to the level of the participants.
Group members
Muhammad JUNAID
Gnord MAYPAOKHA
Lê Tạ Huỳnh NHƯ
Maria Czarina LAGURA
Suriya DECH-ARAN
Yanisa SUESAT