88 citations · 470 across the 21 of their papers we have counts for
5 papers · 2 filters
A high-order partitioned solver for general multiphysics problems and its applications in optimization
Daniel Z. Huang, Per-Olof Persson, Matthew J. Zahr
A high-order accurate adjoint-based optimization framework is presented for unsteady multiphysics problems. The fully discrete adjoint solver relies on the high-order, linearly sta…
High-order Solution Transfer between Curved Triangular Meshes
Danny Hermes, Per-Olof Persson
The problem of solution transfer between meshes arises frequently in computational physics, e.g. in Lagrangian methods where remeshing occurs. The interpolation process must be con…
Analysis and entropy stability of the line-based discontinuous Galerkin method
Will Pazner, Per-Olof Persson
We develop a discretely entropy-stable line-based discontinuous Galerkin method for hyperbolic conservation laws based on a flux differencing technique. By using standard entropy-s…
High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit-explicit Runge-Kutta schemes
Daniel Z. Huang, Per-Olof Persson, Matthew J. Zahr
This work introduces a general framework for constructing high-order, linearly stable, partitioned solvers for multiphysics problems from a monolithic implicit-explicit Runge-Kutta…
On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations
Will Pazner, Per-Olof Persson
We study the convergence of iterative linear solvers for discontinuous Galerkin discretizations of systems of hyperbolic conservation laws with polygonal mesh elements compared wit…