MVEX01-19-06 Efficient implementation of Helmholtz equation with applications in medical imaging

​In this project we will consider the finite element method (FEM) for the solution of Helmholtz equation in two and  three dimensions. The solution should be implemented and tested on different real-life models in C++/PETSc in the existing software packageWavES (waves24.com). The main goal of the project is efficient implementation of Helmholtz equation (1) using finite element methods, and testing of the obtained solver in the already existed software package WavES. Visualization of the obtained results will be done in Paraview/GID. The project is a collaboration with the Department of Electric Engineering at Chalmers, and the expected application of the obtained software will be for fast detection of small-size tumours using microwave imaging.

See here for a more detailed description of the project.

Projektkod MVEX01-19-06
Gruppstorlek 3-4 studenter
Målgrupp GU- och Chalmersstudenter. För GU-studenter räknas projektet som ett projekt i Tillämpad Matematik (MMG900/MMG920).​
Projektspecifika förkunskapskrav
Se respektive kursplan för allmänna förkunskapskrav. Utöver de allmänna förkunskapskraven i MVEX01 ska Chalmersstudenter ha avklarat kurser i en- och flervariabelanalys, linjär algebra och matematisk statistik.
Handledare Larisa Beilina, 031-7725367, larisa.beilina@chalmers.se
Examinator Maria Roginskaya, Ulla Dinger
Institution Matematiska vetenskaper​

Publicerad: to 11 okt 2018. Ändrad: on 30 jan 2019