Zobrazeno 1 - 10
of 187
pro vyhledávání: '"KOLEV, TZANIO"'
Equilibriums in magnetic confinement devices result from force balancing between the Lorentz force and the plasma pressure gradient. In an axisymmetric configuration like a tokamak, such an equilibrium is described by an elliptic equation for the pol
Externí odkaz:
http://arxiv.org/abs/2407.03499
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
Autor:
Mittal, Ketan, Dobrev, Veselin A., Knupp, Patrick, Kolev, Tzanio, Ledoux, Franck, Roche, Claire, Tomov, Vladimir Z.
Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes. Existing tec
Externí odkaz:
http://arxiv.org/abs/2401.16369
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
We propose a method that morphs high-orger meshes such that their boundaries and interfaces coincide/align with implicitly defined geometries. Our focus is particularly on the case when the target surface is prescribed as the zero isocontour of a smo
Externí odkaz:
http://arxiv.org/abs/2208.05062
Autor:
Kolev, Tzanio Valentinov
The modeling of electromagnetic phenomena described by the Maxwell's equations is of critical importance in many practical applications. The numerical simulation of these equations is challenging and much more involved than initially believed. Conseq
Externí odkaz:
http://hdl.handle.net/1969.1/1115
Autor:
Camier, Jean-Sylvain, Dobrev, Veselin, Knupp, Patrick, Kolev, Tzanio, Mittal, Ketan, Rieben, Robert, Tomov, Vladimir
In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global nonlinear sol
Externí odkaz:
http://arxiv.org/abs/2205.12721
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:
Vargas, Arturo, Stitt, Thomas M., Weiss, Kenneth, Tomov, Vladimir Z., Camier, Jean-Sylvain, Kolev, Tzanio, Rieben, Robert N.
With the introduction of advanced heterogeneous computing architectures based on GPU accelerators, large-scale production codes have had to rethink their numerical algorithms and incorporate new programming models and memory management strategies in
Externí odkaz:
http://arxiv.org/abs/2112.07075