The purpose of this study is to construct a high-order interpolation scheme for arbitrary scattered datasets. The resulting function approximation is an interpolation function when...
In this paper we extend the discrete duality finite volume (DDFV) formulation to the steady convection-diffusion equation. The discrete gradients defined in DDFV are used to define...
The quantization based filtering method (see [13], [14]) is a grid based approximation method to solve nonlinear filtering problems with discrete time observations. It relies on o...
Abstract. It is shown that for a broad class of equations that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arb...
A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and analyzed for the Reissner-Mindlin plate bending problem discretized with MITC finite elements. This...
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [-1, 1] by extending these functions to periodic functions on a larger domain. The series ...
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. ...
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated p...