In this paper, we propose a discontinuous finite volume element method to solve a phase
field model for two immiscible incompressible fluids. In this finite volume element scheme …

A combined hybrid mixed and hybridizable discontinuous Galerkin method is formulated for
the flow and transport equations. Convergence of the method is obtained by deriving optimal …

We investigated a hybridizable discontinuous Galerkin (HDG) method for a convection
diffusion Dirichlet boundary control problem in our earlier work (Gong et al. SIAM J Numer …

This paper investigates adaptive hybridizable discontinuous Galerkin methods for the
gradient-velocity–pressure formulation of Brinkman equations. We use piecewise …

This article presents a conforming discontinuous Galerkin (conforming DG) scheme for
second order elliptic equations on rectangular partitions. The new method is based on DG …

We know that due to the Weierstrass approximation theorem any continuous function over a
closed interval can be approximated by a polynomial of sufficiently high degree. Therefore …

In this paper, block neural network (BNN) method is proposed to solve several kinds of
differential equations. BNN is used to construct approximating functions and its derivatives …

We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes
equations with an L 2 penalty on the boundary control. The contribution of this paper is …

We propose a hybridizable discontinuous Galerkin (HDG) method for approximating the
Steklov eigenvalue problem. We prove optimal convergence rates for the eigenvalues and …

In this paper, we investigate a hybridizable discontinuous Galerkin method for second order
elliptic equations with Dirac measures. Under assumption that the domain is convex and the …