5 papers · 1 filter
Solution of the Electric Field Integral Equation Using a Hybrid Quantum-Classical Scheme: Investigation of Accuracy and Efficiency
Rui Chen, Teng-Yang Ma, Meng-Han Dou +1
Conventional classical solvers are commonly used for solving matrix equation systems resulting from the discretization of SIEs in computational electromagnetics (CEM). However, the…
The Logarithmic Laplacian on General Graphs
Rui Chen, Wendi Xu
We establish, for the first time, a Bochner-type integral representation for the logarithmic Laplacian on weighted graphs. Assuming stochastic completeness of the underlying graph,…
The Logarithmic Laplacian on Complete Riemannian Manifolds
Rui Chen
We introduce, for the first time, a Bochner representation of the logarithmic Laplacian on general complete Riemannian manifolds via spectral calculus and the heat semigroup. More…
A First-Order Linear Energy Stable Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions under the Effect of Hyperbolic Relaxation
Minghui Yu, Rui Chen
In this paper we focus on the Cahn-Hilliard equation with dynamic boundary conditions, by adding two hyperbolic relaxation terms to the system. We verify that the energy of the tot…
Existence and Convergence of Least-Energy Solutions Involving the Logarithmic Schrödinger Operator
Huyuan Chen, Rui Chen, Bobo Hua
In this paper, we study critical semilinear nonlocal elliptic equations involving the logarithmic Schrödinger operator and its fractional pseudo-relativistic counterpart, both aris…