-----BEGIN PGP SIGNED MESSAGE----- Hash: SHA1 On 23/09/15 05:43, Justin Chang wrote:
Final question (for now):
6) I am looking through the upwind_advection.py example and was wondering if there are papers, books, and/or lecture notes that outline the approach/mathematics exactly.
At lowest order, you can consider DG schemes to just look like finite volume (in some senses). Randy LeVeque's book "Finite Volume Methods for Hyperbolic Problems" is the classic monograph in this area. Bernado Cockburn's 2003 paper is a reasonably brief overview of DG schemes. @article {Cockburn:2003, author = {Cockburn, B.}, title = {{Discontinuous Galerkin methods}}, journal = {Zeitschrift f\"{u}r Angewandte Mathematik und Mechanik}, volume = 83, number = 11, doi = {10.1002/zamm.200310088}, pages = {731--754}, year = 2003, } Jan Hesthaven and Tim Warburton's book "Nodal discontinuous galerkin methods: algorithms, analysis and applications" is quite well regarded I think, but I have not read it myself. Colin and/or Andrew may have other suggestions? Cheers, Lawrence -----BEGIN PGP SIGNATURE----- Version: GnuPG v1 iQEcBAEBAgAGBQJWAmmQAAoJECOc1kQ8PEYvSYYH/23mfijl21FkIOy8UxFHIIjv 3Cleps0r8DMkfSemPYs7Uk3IxMysdB5+rUPuK/OUWFiou3PkDRbHjfZiMn1/tTpN 1teUb6Y0ZtwRJeJXLs5rfHfw00OxpHCRPjIMz79ofAijbAHIa8g172K7xEUKv/NO kK0jxSAy8YrDvXqEByjx+irk+mk/I+hrRj0XedntbYwz5OvJqCPJMngQ5CU5ZhMO 0YT0zx8gA4PpO4/K6qIiJA1FLwXltJ67Botg88hXCD43xwa+MWQTg1J8YRMontNl VAY5CGGX24xOIdRXChRup5srQy1eYmo9WtbpJjDPnlXVasetT3G+xn+BZT8JrU0= =fwrz -----END PGP SIGNATURE-----