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In this paper, we further investigate the use of a fully discontinuous Finite Element discrete formulation for the study of shallow water free surface flows in the fully nonlinear and weakly dispersive flow regime.
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In this section we construct fully discrete discontinuous Galerkin approximations using extrapolated Crank-Nicolson method and prove the optimal convergence in normed space.
Our model is based on a fully-explicit discontinuous-Galerkin formulation of the 3D Richards equation, which shows a perfect scaling on parallel architectures.
In [28], the authors solved such equations by employing a fully discrete direct discontinuous Galerkin method.
A new fully discrete stabilized discontinuous Galerkin method is proposed to solve the incompressible miscible displacement problem.
Wei [16] developed a fully discrete local discontinuous Galerkin finite element method for numerical simulation of the time-fractional telegraph equation.
In this article, a fully discrete local discontinuous Galerkin (LDG) method with high-order temporal convergence rate is presented and developed to look for the numerical solution of nonlinear time-fractional fourth-order partial differential equation (PDE).
In this paper, we develop an efficient and energy stable fully-discrete local discontinuous Galerkin (LDG) method for the Cahn Hilliard–Hele Shaw (CHHS) system.
In this paper, we present an efficient and unconditionally energy stable fully-discrete local discontinuous Galerkin (LDG) method for approximating the Cahn Hilliard Brinkman (CHB) system, which is comprised of a Cahn Hilliard type equation and a generalized Brinkman equation modeling fluid flow.
In Section 4, we construct the extrapolated discontinuous Galerkin fully discrete method which yields the second-order convergence in the temporal direction.
We present a new family of high order accurate fully discrete one-step Discontinuous Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of nonlinear hyperbolic PDE in multiple space dimensions, which may also include parabolic terms in order to model dissipative transport processes, like molecular viscosity or heat conduction.
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