Zobrazeno 1 - 10
of 765
pro vyhledávání: '"Demkowicz P"'
This article presents an ultraweak discontinuous Petrov-Galerkin (DPG) formulation of the time-harmonic Maxwell equations for the vectorial envelope of the electromagnetic field in a weakly-guiding multi-mode fiber waveguide. This formulation is deri
Externí odkaz:
http://arxiv.org/abs/2411.09090
We derive fundamental bounds for general quantum metrological models involving both temporal or spatial correlations (mathematically described by quantum combs), which may be effectively computed in the limit of a large number of probes or sensing ch
Externí odkaz:
http://arxiv.org/abs/2410.01881
Assuming a Markovian time evolution of a quantum sensing system, we provide a general characterization of the optimal sensitivity scalings with time, under the most general quantum control protocols. We allow the estimated parameter to influence both
Externí odkaz:
http://arxiv.org/abs/2404.03954
Autor:
Kurdzialek, Stanislaw, Dulian, Piotr, Majsak, Joanna, Chakraborty, Sagnik, Demkowicz-Dobrzanski, Rafal
We develop an efficient algorithm for determining optimal adaptive quantum estimation protocols with arbitrary quantum control operations between subsequent uses of a probed channel.We introduce a tensor network representation of an estimation strate
Externí odkaz:
http://arxiv.org/abs/2403.04854
The phase field method is an effective tool for modeling microstructure evolution in materials. Many efficient implicit numerical solvers have been proposed for phase field simulations under uniform and time-invariant model parameters. We use Eyre's
Externí odkaz:
http://arxiv.org/abs/2401.12147
In this article, we present a three-dimensional anisotropic $hp$-mesh refinement strategy for ultraweak discontinuous Petrov--Galerkin (DPG) formulations with optimal test functions. The refinement strategy utilizes the built-in residual-based error
Externí odkaz:
http://arxiv.org/abs/2309.00726
Autor:
Muñoz-Matute, Judit, Demkowicz, Leszek
In this article, we employ the construction of the time-marching Discontinuous Petrov-Galerkin (DPG) scheme we developed for linear problems to derive high-order multistage DPG methods for non-linear systems of ordinary differential equations. The me
Externí odkaz:
http://arxiv.org/abs/2309.00069
In a time-harmonic setting, we show for heterogeneous acoustic and homogeneous electromagnetic wavesguides stability estimates with the stability constant depending linearly on the length $L$ of the waveguide. These stability estimates are used for t
Externí odkaz:
http://arxiv.org/abs/2307.04521
Publikováno v:
Phys. Rev. B 108 (2023) 224102
Transonic defect motion is of interest for high strain-rate plastic deformation as well as for crack propagation. Ever since Eshelby's 1949 prediction in the isotropic limit of a 'radiation-free' transonic velocity $v_\text{RF}=\sqrt{2}c_{\textrm{T}}
Externí odkaz:
http://arxiv.org/abs/2305.06980
This paper presents a scalable multigrid preconditioner targeting large-scale systems arising from discontinuous Petrov-Galerkin (DPG) discretizations of high-frequency wave operators. This work is built on previously developed multigrid precondition
Externí odkaz:
http://arxiv.org/abs/2304.01728