An Operator-Based Local Discontinuous Galerkin Method Compatible With the BSSN Formulation of the Einstein Equations

Understand

Discontinuous Galerkin Finite Element (DGFE) methods offer a mathematically beautiful, computationally efficient, and efficiently parallelizable way to solve hyperbolic partial differential equations.

• These properties make them highly desirable for numerical calculations in relativistic astrophysics and many other fields.
• The BSSN formulation of the Einstein equations has repeatedly demonstrated its robustness.
• The formulation is not only stable but allows for puncture-type evolutions of black hole systems.