vectormultibang

This repository contains Matlab codes accompanying the paper Convex relaxation of discrete vector-valued optimization problems (arXiv preprint) by Christian Clason, Carla Tameling, and Benedikt Wirth.

Contents

directory bloch

contains the test scripts for the example concerning optimal control of the Bloch equation using discrete control vectors (run test_bloch.m)

directory elasticity

contains the test scripts for the example concerning optimal control of the equations of linearized elasticity (run test_elasticity.m)

directory mbtransport

contains the test scripts for the example concerning multimaterial branched transport (run test_branchedTransport.m)

If you find this approach useful, you can cite the paper as

@article{vectormultibang,
    author = {Clason, Christian and Tameling, Carla and Wirth, Benedikt},
    title = {Convex relaxation of discrete vector-valued optimization problems},
    journal = {SIAM Review},
    volume = {63},
    number = {4},
    pages = {783--821},
    year = {2021},
    doi = {10.1137/21M1426237}
}