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- University of Science and Technology of ChinaCN42 papers
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7 papers · 1 filter
Theory of the lattice Boltzmann method: discrete effects due to advection
Pierre Lallemand, François Dubois, Li-shi Luo
Lattice Boltzmann models are briefly introduced together with references to methods used to predict their ability for simulations of systems described by partial differential equat…
A fitted scheme for a Caputo initial-boundary value problem
J. L. Gracia, E. O'Riordan, M. Stynes
In this paper we consider an initial-boundary value problem with a Caputo time derivative of order . The solution typically exhibits a weak singularity near the initial…
A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel
Xue-lei Lin, Michael K. Ng, Yajing Zhi
In this paper, we study a parallel-in-time (PinT) algorithm for all-at-once system from a non-local evolutionary equation with weakly singular kernel where the temporal term involv…
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
We consider the calculation of the band structure of frequency dependent photonic crystals. The associated eigenvalue problem is nonlinear and it is challenging to develop effectiv…
Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media
Bo Gong, Jiguang Sun, Tiara Turner +1
The transmission eigenvalue problem arises from the inverse scattering theory for inhomogeneous media and has important applications in many qualitative methods. The problem is pos…
A new finite element approach for the Dirichlet eigenvalue problem
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
In this paper, we propose a new finite element approach, which is different than the classic Babuska-Osborn theory, to approximate Dirichlet eigenvalues. The Dirichlet eigenvalue p…