An adaptive spectral/DG method for a reduced phase-space based level set approach to geometrical optics on curved elements

DOI10.1016/j.jcp.2013.12.018zbMath1349.78111OpenAlexW1999577552MaRDI QIDQ348743

Bernardo Cockburn, Chiu-Yen Kao, Fernando Reitich

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.018

zbMATH Keywords

wave equationdiscontinuous Galerkin methodlevel set methodspectral methodeikonal equationLiouville equationgeometrical optics

Mathematics Subject Classification ID

Uses Software

• P2Q2Iso2D

Cites Work

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• A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations
• Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations
• Strong Stability-Preserving High-Order Time Discretization Methods
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• User’s guide to viscosity solutions of second order partial differential equations
• Computational high frequency wave propagation
• A new triangular and tetrahedral basis for high‐order (hp) finite element methods

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