Zobrazeno 1 - 10
of 14 363
pro vyhledávání: '"time-dependent problems"'
In this article we provide a method for establishing operator-type error estimates between solutions to rapidly oscillating evolutionary equations and their homogenised counter parts. This method is exemplified by applications to the wave, heat and f
Externí odkaz:
http://arxiv.org/abs/2407.09148
Multiscale problems are challenging for neural network-based discretizations of differential equations, such as physics-informed neural networks (PINNs). This can be (partly) attributed to the so-called spectral bias of neural networks. To improve th
Externí odkaz:
http://arxiv.org/abs/2401.07888
Autor:
Kawashita, Mishio, Kawashita, Wakako
In this paper, we discuss the role of the shortest distance in time-dependent enclosure method for the inverse problems when the inclusions are embedded in a non-layered or two-layered medium. Furthermore, the regularity assumptions for the boundarie
Externí odkaz:
http://arxiv.org/abs/2310.11720
Publikováno v:
Multidiscipline Modeling in Materials and Structures, 2023, Vol. 19, Issue 6, pp. 1087-1105.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/MMMS-04-2023-0132
Autor:
Nishikawa, Hiroaki
Publikováno v:
Volume 491, 112389, Journal of Computational Physics, 15 October 2023
In this short note, we discuss the circumstances that can lead to a failure to observe the design order of discretization error convergence in accuracy verification when solving a time-dependent problem. In particular, we discuss the problem of faili
Externí odkaz:
http://arxiv.org/abs/2305.10331
We present a framework for solving time-dependent partial differential equations (PDEs) in the spirit of the random feature method. The numerical solution is constructed using a space-time partition of unity and random feature functions. Two differen
Externí odkaz:
http://arxiv.org/abs/2304.06913