The quasi-static multiple-network poroelastic theory (MPET) model, first introduced in the
context of geomechanics [G. Barenblatt, G. Zheltov, and I. Kochina, J. Appl. Math. Mech., 24 …

A robust overset assembly method allowing for multiple overlapping bodies is presented.
This method extends the overset assembly method to deal with the interference between …

This work presents a novel application of the hybridizable discontinuous Galerkin (HDG)
finite element method to the multi-physics simulation of coupled fluid–structure interaction …

A simple Chimera grid method is developed for complex flows with moving boundaries.
Based on the interpolation condition, a coupling strategy is proposed where algebraic …

We use the energy method to study the well-posedness of initial-boundary value problems
approximated by overset mesh methods in one and two space dimensions for linear …

We derive entropy conserving and entropy dissipative overlapping domain formulations for
systems of nonlinear hyperbolic equations in conservation form, such as would be …

The quasi-static multiple network poroelastic theory (MPET) model, first introduced in the
context of geomechanics, has recently found new applications in medicine. In practice, the …

This work presents implementation of a hybridized discontinuous Galerkin (DG) method for
robust simulation of the hypersonic aerothermoelastic multiphysics system. Simulation of …

A previously presented overset mesh enabled hybridizable discontinuous Galerkin (HDG)
finite element method is extended in this work to an isentropic compressible (pseudo …

We use the behavior of the L2 norm of the solutions of linear hyperbolic equations with
discontinuous coefficient matrices as a surrogate to infer stability of discontinuous Galerkin …