Robert A.M. van Gestel

Discontinuous Galerkin Methods for Liouville’s Equation of Geometrical Optics

Jan H.M. ten Thije Boonkkamp, Robert A.M. van Gestel, Martijn Anthonissen, Wilbert L. IJzerman

nl (code pays fourni par la source)

A hybrid semi-Lagrangian DG and ADER-DG solver on a moving mesh for Liouville's equation of geometrical optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman

Liouville's equation describes light propagation through an optical system. It governs the evolution of an energy distribution, the basic luminance, on phase space. The basic luminance is discontinuous across optical interfaces, as is described by non-local boundary conditions at each optical interface. …

nl (code pays fourni par la source)

An ADER discontinuous Galerkin method on moving meshes for Liouville's equation of geometrical optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman

Liouville's equation describes light propagation through an optical system. It governs the evolution of an energy distribution on phase space. This energy distribution is discontinuous across optical interfaces. Curved optical interfaces manifest themselves as moving boundaries on phase space. In this paper, …

nl (code pays fourni par la source)

A Hybrid Semi-Lagrangian Dg and Ader-Dg Solver on a Moving Mesh for Liouville's Equation of Geometrical Optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman

nl (code pays fourni par la source)

An Energy-Preserving High Order Method for Liouville’s Equation of Geometrical Optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, W. L. IJzerman

nl (code pays fourni par la source)

Correction to: An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, W. L. IJzerman

nl (code pays fourni par la source)

An Ader Discontinuous Galerkin Method on Moving Meshes for Liouville's Equation of Geometrical Optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman

nl (code pays fourni par la source)

A discontinuous Galerkin method to solve Liouville’s equation of geometrical optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman

We present an alternative method to ray tracing that is based on a phase space description of light propagation. Liouville’s equation of geometrical optics describes the evolution of the basic luminance on phase space. At an optical interface, the laws of optics …

nl (code pays fourni par la source)

An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, W. L. IJzerman

Abstract Liouville’s equation on phase space in geometrical optics describes the evolution of an energy distribution through an optical system, which is discontinuous across optical interfaces. The discontinuous Galerkin spectral element method is conservative and can achieve higher order of convergence locally, …

nl (code pays fourni par la source)

Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations

Jan van Dijk, Robert A.M. van Gestel, Chris Schoutrop, Jan H.M. ten Thije Boonkkamp

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An energy conservative hp-scheme for light propagation using Liouville’s equation for geometrical optics

Robert A.M. van Gestel, Martijn Anthonissen, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman

In this contribution an alternative method to standard forward ray-tracing is briefly outlined. The method is based on a phase-space description of light propagating through an optical system. The propagation of light rays are governed by Hamilton’s equations. Conservation of energy and …

nl (code pays fourni par la source)

Homogenization and diffusion

Robert A.M. van Gestel, S. Kronberg, S. Raghunatan, W. L. IJzerman