Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Southworth, Ben S."'
Second Moment Methods (SMMs) are developed that are consistent with the Discontinuous Galerkin (DG) spatial discretization of the discrete ordinates (or \Sn) transport equations. The low-order (LO) diffusion system of equations is discretized with fu
Externí odkaz:
http://arxiv.org/abs/2404.17473
We investigate the geometric structure of adjoint systems associated with evolutionary partial differential equations at the fully continuous, semi-discrete, and fully discrete levels and the relations between these levels. We show that the adjoint s
Externí odkaz:
http://arxiv.org/abs/2404.02320
Recently a new class of nonlinearly partitioned Runge-Kutta (NPRK) methods was proposed for nonlinearly partitioned systems of ordinary differential equations, $y' = F(y,y)$. The target class of problems are ones in which different scales, stiffnesse
Externí odkaz:
http://arxiv.org/abs/2401.12427
Autor:
Ali, Ahsan, Brannick, James, Kahl, Karsten, Krzysik, Oliver A., Schroder, Jacob B., Southworth, Ben S.
Algebraic multigrid (AMG) is known to be an effective solver for many sparse symmetric positive definite (SPD) linear systems. For SPD systems, the convergence theory of AMG is well-understood in terms of the $A$-norm, but in a nonsymmetric setting,
Externí odkaz:
http://arxiv.org/abs/2401.11146
Autor:
Buvoli, Tommaso, Southworth, Ben S.
This work introduces a new class of Runge-Kutta methods for solving nonlinearly partitioned initial value problems. These new methods, named nonlinearly partitioned Runge-Kutta (NPRK), generalize existing additive and component-partitioned Runge-Kutt
Externí odkaz:
http://arxiv.org/abs/2401.04859
Thermal radiation transport (TRT) is a time dependent, high dimensional partial integro-differential equation. In practical applications such as inertial confinement fusion, TRT is coupled to other physics such as hydrodynamics, plasmas, etc., and th
Externí odkaz:
http://arxiv.org/abs/2401.04285
This work develops a novel all-at-once space-time preconditioning approach for resistive magnetohydrodynamics (MHD), with a focus on model problems targeting fusion reactor design. We consider parallel-in-time due to the long time domains required to
Externí odkaz:
http://arxiv.org/abs/2309.00768
The standard goal for an effective algebraic multigrid (AMG) algorithm is to develop relaxation and coarse-grid correction schemes that attenuate complementary error modes. In the nonsymmetric setting, coarse-grid correction $\Pi$ will almost certain
Externí odkaz:
http://arxiv.org/abs/2307.05900
Autor:
Ali, Ahsan, Brannick, James, Kahl, Karsten, Krzysik, Oliver A., Schroder, Jacob B., Southworth, Ben S.
Publikováno v:
SIAM J. SCI. COMPUT. 2024 Vol. 0, No. 0, pp. S96-S122
This paper focuses on developing a reduction-based algebraic multigrid method that is suitable for solving general (non)symmetric linear systems and is naturally robust from pure advection to pure diffusion. Initial motivation comes from a new reduct
Externí odkaz:
http://arxiv.org/abs/2307.00229
Radiation hydrodynamics are a challenging multiscale and multiphysics set of equations. To capture the relevant physics of interest, one typically must time step on the hydrodynamics timescale, making explicit integration the obvious choice. On the o
Externí odkaz:
http://arxiv.org/abs/2305.05452