In this paper we propose a novel approach to discretize linear port-Hamiltonian systems
while preserving the underlying structure. We present a finite element exterior calculus …

In this paper, energy-preserving mixed finite element methods corresponding to finite
element exterior calculus are constructed for the first-order formulation of the elastic wave …

In this paper, we develop a class of mixed finite element methods for the ferrofluid flow
model proposed by Shliomis (1972). We show that the energy stability of the weak solutions …

In this paper, we propose a novel high order unfitted finite element method on Cartesian
meshes for solving the acoustic wave equation with discontinuous coefficients having …

In this paper, we consider mixed finite element semi-/full discretizations of the Rosensweig
ferrofluid flow model. We first establish some regularity results for the model under several …

We propose efficient and parallel algorithms for the implementation of the high-order
continuous time Galerkin method for dissipative and wave propagation problems. By using …

The dual field discretization is applied to decomposed domain to obtain a physics-
compatible discretization method. The domain is decomposed such that each subdomain …