We study magnetic and Mott transitions of the Hubbard model on the geometrically frustrated anisotropic checkerboard lattice at half filling using cellular dynamical mean-field theory.Phase diagrams over a wide area of the parameter space are obtained by varying the interparticle interaction strength,geometric frustration strength,and temperature.Our results show that frustration and thermal fluctuations play a competing role against the interactions and in general favor a metallic phase without antiferromagnetic order.Due to their interplay,the system exhibits competition between antiferromagnetic insulator,antiferromagnetic metal,paramagnetic insulator,and paramagnetic metal phases in the intermediateinteraction regime.In the strong-interaction limit,which reduces to the Heisenberg model,our result is consistent with previous studies.