Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Pazner, Will"'
Autor:
Andrej, Julian, Atallah, Nabil, Bäcker, Jan-Phillip, Camier, John, Copeland, Dylan, Dobrev, Veselin, Dudouit, Yohann, Duswald, Tobias, Keith, Brendan, Kim, Dohyun, Kolev, Tzanio, Lazarov, Boyan, Mittal, Ketan, Pazner, Will, Petrides, Socratis, Shiraiwa, Syun'ichi, Stowell, Mark, Tomov, Vladimir
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational physics and en
Externí odkaz:
http://arxiv.org/abs/2402.15940
Liquid droplet dynamics are widely used in biological and engineering applications, which contain complex interfacial instabilities and pattern formulation such as droplet merging, splitting, and transport. This paper studies a class of mean field co
Externí odkaz:
http://arxiv.org/abs/2402.05923
We design and compute a class of optimal control problems for reaction-diffusion systems. They form mean field control problems related to multi-density reaction-diffusion systems. To solve proposed optimal control problems numerically, we first appl
Externí odkaz:
http://arxiv.org/abs/2306.06287
This work describes the development of matrix-free GPU-accelerated solvers for high-order finite element problems in $H(\mathrm{div})$. The solvers are applicable to grad-div and Darcy problems in saddle-point formulation, and have applications in ra
Externí odkaz:
http://arxiv.org/abs/2304.12387
In this paper, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order finite element problems. The methods described here allow for the construction of effective pr
Externí odkaz:
http://arxiv.org/abs/2210.12253
In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations for the high-order finite element de Rham complex. This theory covers diffusion problems in $H^1$, $H({\rm curl})$, and $H({\rm div}
Externí odkaz:
http://arxiv.org/abs/2203.02465
Autor:
Holec, Milan, Zhu, Ben, Joseph, Ilon, Vogl, Christopher J., Southworth, Ben S., Campos, Alejandro, Dimits, Andris M., Pazner, Will E.
Maintaining conservation laws in the fully discrete setting is critical for accurate long-time behavior of numerical simulations and requires accounting for discrete conservation properties in both space and time. This paper derives arbitrary order f
Externí odkaz:
http://arxiv.org/abs/2202.13022
We present a general family of subcell limiting strategies to construct robust high-order accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is to construct compatible low order finite volume (FV) type discretizations that allow fo
Externí odkaz:
http://arxiv.org/abs/2202.00576
Publikováno v:
In Journal of Computational Physics 1 July 2024 508
We present a family of discretizations for the Variable Eddington Factor (VEF) equations that have high-order accuracy on curved meshes and efficient preconditioned iterative solvers. The VEF discretizations are combined with a high-order Discontinuo
Externí odkaz:
http://arxiv.org/abs/2111.12255