Recent Advances and Challenges in Discontinuous Galerkin Methods and Related Approaches

Over the past three to four decades, Discontinuous Galerkin (DG) methods have had profound impact on the accurate and efficient simulation of physical and engineering problems, especially in settings where the solutions exhibit poor regularity. Deep theoretical advances have been made, leading to a more systematic realization of this family of methods and identification of novel schemes with superior properties in terms of flexibility, accuracy, and scalability. As a result, these methods have been adopted in a wide range of areas from fluid dynamics and astrophysics to mechanical engineering and simulation of muscles.

This workshop will bring together leading researchers in DG and related methods to summarize recent advances made both in their theory and implementation, and to identify new challenges and opportunities. It will promote the exchange of ideas among a diverse list of invited speakers and participants. More importantly, by providing a poster session and ample discussion time throughout the workshop, young participants will have the opportunity to identify promising problems and applications areas, thus having the potential for significant impact on future research programs and careers.