Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods

We introduce and analyze a discontinuous Galerkin method for the numerical modeling of equations Multiple-Network Poroelastic Theory (MPET) in dynamic formulation. The MPET model can comprehensively describe functional changes brain considering multiple scales fluids. Concerning spatial discretization, we employ high-order on polygonal polyhedral grids derive stability priori error estimates. temporal discretization is based coupling between Newmark [Formula: see text]-method momentum equation pressure equations. After presentation some verification tests, perform convergence analysis using an agglomerated mesh geometry slice. Finally, present simulation three-dimensional patient-specific reconstructed from magnetic resonance images. presented this paper be regarded as preliminary attempt to perfusion brain.