===firstname:
Sriramkrishnan
===firstname3:
Tan
===affil6:

===lastname3:
Bui
===email:
sriramkrishnan@utexas.edu
===keyword_other2:

===lastname6:

===affil5:

===lastname4:

===lastname7:

===affil7:

===postal:
915 East 41st Street
Apt No. 103
Austin
Texas, 78751
===ABSTRACT:
We present a scalable and efficient iterative solver for high-order hybridized discontinuous Galerkin (HDG) discretizations of hyperbolic partial differential equations. It an interplay between domain decomposition methods and HDG discretizations. In particular, the method is a fixed-point approach that requires only independent element-by-element local solves in each iteration. As such, it is well-suited for current and future computing systems with massive concurrencies. We rigorously
show that the proposed method is exponentially convergent in the number of iterations for transport and linearized shallow water
equations. Furthermore, the convergence is independent of the solution order. Various 2D and 3D numerical results for steady and
time-dependent problems are presented to verify our theoretical
findings.

===affil3:
Department of Aerospace Engineering and Engineering Mechanics, and the Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712
===title:
eHDG: An Exponentially Convergent Iterative Solver for HDG Discretizations of Hyperbolic Partial Differential Equations.
===affil2:
Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA.
===lastname2:
Binh
===firstname4:

===keyword1:
Iterative solvers/linear algebra on high concurrency node architectures
===workshop:
no
===lastname:
Muralikrishnan
===firstname5:

===keyword2:
Iterative solvers in climate applications
===otherauths:

===affil4:

===competition:
yes
===firstname7:

===firstname6:

===keyword_other1:
Discontinuous Galerkin methods
===lastname5:

===affilother:

===firstname2:
Minh