IP anycast is widely being used to distribute essential Internet services, such as DNS, across the globe. One of the main reasons for doing so is to increase the redundancy of the service and reduce the impacts of the growing threat of DDoS attacks. IP anycast can be further used to mitigate DDoS attacks by confining the attack traffic to certain areas. This might cause the targeted service to become unavailable only to a fraction of its users. In this PhD research we aim at investigating how IP anycast can be optimized both statically and dynamically to support the mitigation of DDoS attacks.