This paper presents the first application of a symmetric interior-penalty discontinuous
Galerkin isogeometric analysis (SIP-DG-IGA) spatial discretization to the self-adjoint angular …

Energy-dependent self-adaptive mesh refinement algorithms are developed for a symmetric
interior-penalty scheme for a discontinuous Galerkin spatial discretization of the multi-group …

In this paper, we study the effects of the penalty parameters on the accuracy (in terms of the
wavenumber-diffusion properties) for several popular discontinuous Galerkin (DG) viscous …

Abstract The Continuous Galerkin Virtual Element Method (CG-VEM) is a recent innovation
in spatial discretization methods that can solve partial differential equations (PDEs) using …

These AMR algorithms are shown to be computationally efficient and numerically accurate
when compared to standard approaches. IGA methods are very competitive and offer certain …

Until recently, interior penalty methods have been applied to elliptic operators using an
approach based on the mass matrix of finite elements that possess a constant Jacobian. In …

A diffusion synthetic acceleration (DSA) technique for the SN transport equation discretized
with the linear discontinuous expansion method with subcell balance (LDEM-SCB) on …