A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model

In this article, we consider the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth system, which couples Brinkman flow equations in porous medium and Cahn–Hilliard type equation with nonlocal Ohta–Kawasaki term. We first construct a fully-decoupled discontinuous Galerkin method based on decoupled, stabilized energy factorization approach implicit-explicit Euler time discretization, strictly prove its unconditional stability. The optimal error estimate for interstitial fluid pressure is further obtained. Numerical results are also carried out to demonstrate effectiveness of proposed numerical scheme verify theoretical results. Finally, apply simulate evolution brain tumors patient-specific magnetic resonance imaging, obtained computational show that model can provide realistic calculations predictions, thus providing an in-depth understanding mechanism growth.