Discontinuous Galerkin sparse grids methods for time domain Maxwell’s equations

D'azevedo, Ed; Green, David; Mu, Lin

doi:10.1016/j.cpc.2020.107412

Discontinuous Galerkin sparse grids methods for time domain Maxwell’s equations

Journal Article · 02 June 2020 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2020.107412· OSTI ID:1847554

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of Georgia, Athens, GA (United States)

In this paper, we present a time-explicit sparse grid discontinuous Galerkin method for solving the three-dimensional time-domain Maxwell equations. The conservation properties and convergence rates are established for different choices of numerical fluxes. The convergence rates are proved theoretically and then verified by several numerical examples. Even though our scheme does not preserve the divergence, but by implying the higher order polynomial, one can observe the same convergence rate as numerical solution. Several numerical tests are presented to validate these conclusions.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1847554

Alternate ID(s):: OSTI ID: 1633344

Journal Information:: Computer Physics Communications, Journal Name: Computer Physics Communications Journal Issue: 1 Vol. 256; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
97 MATHEMATICS AND COMPUTING
Maxwell's Equations
discontinuous Galerkin method
sparse grids methods
time domain

Discontinuous Galerkin sparse grids methods for time domain Maxwell’s equations

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