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hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains (2013)
Journal Article
Antonietti, P., Giani, S., & Houston, P. (2013). hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. SIAM Journal on Scientific Computing, 35(3), A1417-A1439. https://doi.org/10.1137/120877246

In this paper we introduce the hp-version discontinuous Galerkin composite finite element method for the discretization of second-order elliptic partial differential equations. This class of methods allows for the approximation of problems posed on c... Read More about hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains.

Evaluation of the Aerodynamic and Aeroacoustic Response of a Vehicle to Transient Flow Conditions (2013)
Journal Article
Oettle, N., Mankowski, O., Sims-Williams, D., Dominy, R., & Freeman, C. (2013). Evaluation of the Aerodynamic and Aeroacoustic Response of a Vehicle to Transient Flow Conditions. SAE International Journal of Passenger Cars - Mechanical Systems, 6(1), 389-402. https://doi.org/10.4271/2013-01-1250

A vehicle on the road encounters an unsteady flow due to turbulence in the natural wind, unsteady wakes of other vehicles and as a result of traversing through the stationary wakes of roadside obstacles. Unsteady effects occurring in the sideglass re... Read More about Evaluation of the Aerodynamic and Aeroacoustic Response of a Vehicle to Transient Flow Conditions.

Suppression of geminate charge recombination in organic photovoltaic devices with a cascaded energy heterojunction (2013)
Journal Article
Groves, C. (2013). Suppression of geminate charge recombination in organic photovoltaic devices with a cascaded energy heterojunction. Energy & Environmental Science, 6(5), 1546-1551. https://doi.org/10.1039/c3ee24455e

The effect of cascaded energy heterojunctions on geminate charge recombination in organic photovoltaic devices is examined using a kinetic Monte Carlo model. The structure of the cascaded heterojunction, which encourages spatial separation of the gem... Read More about Suppression of geminate charge recombination in organic photovoltaic devices with a cascaded energy heterojunction.

Fabrication of a 3D electrically small antenna using holographic photolithography (2013)
Journal Article
Toriz-Garcia, J., Cowling, J., Williams, G., Bai, Q., Seed, N., Tennant, A., …Ivey, P. (2013). Fabrication of a 3D electrically small antenna using holographic photolithography. Journal of Micromechanics and Microengineering, 23(5), Article 055010. https://doi.org/10.1088/0960-1317/23/5/055010

We describe the novel fabrication of a 3D electrical small antenna and its subsequent characterization. The patterning of meander lines conformed onto a hemispherical substrate is achieved by 3D holographic photolithography, which uses time-division... Read More about Fabrication of a 3D electrically small antenna using holographic photolithography.

An a posteriori error estimator for hp-adaptive continuous Galerkin methods for photonic crystal applications (2013)
Journal Article
Giani, S. (2013). An a posteriori error estimator for hp-adaptive continuous Galerkin methods for photonic crystal applications. Computing, 95(5), 395-414. https://doi.org/10.1007/s00607-012-0244-6

In this paper we propose and analyse an error estimator suitable for \(hp\)-adaptive continuous finite element methods for computing the band structure and the isolated modes of 2D photonic crystal (PC) applications. The error estimator that we propo... Read More about An a posteriori error estimator for hp-adaptive continuous Galerkin methods for photonic crystal applications.

An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems (2013)
Journal Article
Solin, P., & Giani, S. (2013). An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems. Computing, 95(1 Supplement), S183-S213. https://doi.org/10.1007/s00607-012-0251-7

We present a novel adaptive higher-order finite element (hp-FEM) algorithm to solve non-symmetric elliptic eigenvalue problems. This is an extension of our prior work on symmetric elliptic eigenvalue problems. The method only needs to make one call t... Read More about An iterative adaptive hp-FEM method for non-symmetric elliptic eigenvalue problems.

A Literature Review of Low Pressure Steam Turbine Exhaust Hood and Diffuser Studies (2013)
Journal Article
Burton, Z., Ingram, G., & Hogg, S. (2013). A Literature Review of Low Pressure Steam Turbine Exhaust Hood and Diffuser Studies. Journal of Engineering for Gas Turbines and Power, 135(6), Article 062001. https://doi.org/10.1115/1.4023611

This paper summarizes the findings from research studies carried out over the last 30 years, to better understand the flows in steam turbine low pressure exhaust hoods and diffusers. The work aims to highlight the areas where further study is still r... Read More about A Literature Review of Low Pressure Steam Turbine Exhaust Hood and Diffuser Studies.

High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems (2013)
Journal Article
Giani, S. (2013). High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems. Computing, 95(1 Supplement), S215-S234. https://doi.org/10.1007/s00607-012-0253-5

In this paper we present two different kinds of error estimators for acoustic problems: a residual-based and a dual weighted residual one. The former error estimator is explicit and cheap to compute. The latter is based on a duality argument and it i... Read More about High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems.

An a-posteriori error estimate for hp-adaptive DG methods for elliptic eigenvalue problems on anisotropically refined meshes (2013)
Journal Article
Giani, S., & Hall, E. (2013). An a-posteriori error estimate for hp-adaptive DG methods for elliptic eigenvalue problems on anisotropically refined meshes. Computing, 95(1 Supplement), S319-S341. https://doi.org/10.1007/s00607-012-0261-5

We prove an a-posteriori error estimate for an \(hp\)-adaptive discontinuous Galerkin method for the numerical solution of elliptic eigenvalue problems with discontinuous coefficients on anisotropically refined rectangular elements. The estimate yiel... Read More about An a-posteriori error estimate for hp-adaptive DG methods for elliptic eigenvalue problems on anisotropically refined meshes.

Error control for hp -adaptive approximations of semi-definite eigenvalue problems (2013)
Journal Article
Giani, S., Grubišić, L., & Ovall, J. (2013). Error control for hp -adaptive approximations of semi-definite eigenvalue problems. Computing, 95(1), 235-257. https://doi.org/10.1007/s00607-012-0260-6

We present reliable TeX-posteriori error estimates for TeX-adaptive finite element approximations of semi-definite eigenvalue/eigenvector problems. Our model problems are motivated by applications in photonic crystal eigenvalue computations. We prese... Read More about Error control for hp -adaptive approximations of semi-definite eigenvalue problems.