An adaptive higher order method for solving the radiation transport equation on unstructured grids

DOI10.1006/jcph.2002.7001zbMath0997.65143OpenAlexW2043246122MaRDI QIDQ1601525

P. Vollmöller, Andreas Dedner

Publication date: 26 June 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2002.7001

zbMATH Keywords

convergenceBoltzmann equationadaptive methodssolar physicsradiation transport equation\(h\)-\(p\)-finite element methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (8)

MULTI2D - a computer code for two-dimensional radiation hydrodynamics ⋮ Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes ⋮ Uniform convergent scheme for discrete-ordinate radiative transport equation with discontinuous coefficients on unstructured quadrilateral meshes ⋮ Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement ⋮ Fast algorithms for integral formulations of steady-state radiative transfer equation ⋮ A fast algorithm for radiative transport in isotropic media ⋮ An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation ⋮ Inverse transport calculations in optical imaging with subspace optimization algorithms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical simulations for radiation hydrodynamics. I: Diffusion limit
• A posteriori error control in radiative transfer
• 3-D simulations of solar and stellar convection and magnetoconvection
• An adaptive mesh refinement algorithm for the radiative transport equation
• Numerical simulations for radiation hydrodynamics. II: Transport limit
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
• Stabilizedhp-Finite Element Methods for First-Order Hyperbolic Problems
• A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

This page was built for publication: An adaptive higher order method for solving the radiation transport equation on unstructured grids