Outputs (6)

Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition (2019)
Journal Article

We propose a non-intrusive stochastic model reduction method for polynomial chaos representation of acoustic problems using proper orthogonal decomposition. The random wavenumber in the well-established Helmholtz equation is approximated via the poly... Read More about Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition.

Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media (2019)
Journal Article

In this paper we present a multi-hp adaptive discontinuous Galerkin method for 3D simplified approximations of radiative transfer in non-gray media capable of reaching accuracies superior to most of methods in the literature. The simplified models ar... Read More about Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media.

The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem (2019)
Journal Article

A Boundary Element Method formulation is developed for the solution of the two-dimensional anomalous diffusion equation. Initially, the Riemann–Liouville Fractional derivative is applied on both sides of the partial differential equation (PDE), thus... Read More about The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem.

Efficient computational models for shallow water flows over multilayer erodible beds (2019)
Journal Article

Purpose: The purpose of this paper is to present a new numerical model for shallow water flows over heterogeneous sedimentary layers. It is already several years since the single-layered models have been used to model shallow water flows over erodibl... Read More about Efficient computational models for shallow water flows over multilayer erodible beds.

Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems (2019)
Journal Article

We present a partition of unity finite element method for wave propagation problems in the time domain using an explicit time integration scheme. Plane wave enrichment functions are introduced at the finite elements nodes which allows for a coarse me... Read More about Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems.

Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering (2019)
Journal Article

The aim of this paper is to accurately solve short wave scattering problems governed by the Helmholtz equation using the Bernstein-Bezier Finite Element method (BBFEM), combined with a conformal perfectly matched layer (PML). Enhanced PMLs, where cur... Read More about Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering.