Discontinuous Galerkin Methods
DG methods for hyperbolic and convection-dominated problems.
Discontinuous Galerkin Methods. DG methods for hyperbolic and convection-dominated problems.
Foundations and canonical references
The standard treatments of discontinuous galerkin methods approach the subject from complementary angles. Hesthaven, Nodal Discontinuous Galerkin Methods (2008) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for discontinuous galerkin methods include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2008Nodal Discontinuous Galerkin Methodshesthaven-2008, warburton-2008
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