31 citations · 80 across the 13 of their papers we have counts for
13 papers
A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
Peipei Lu, Roland Maier, Andreas Rupp
We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid disc…
Homogeneous multigrid method for HDG applied to the Stokes equation
Peipei Lu, Wei Wang, Guido Kanschat +1
We propose a multigrid method to solve the linear system of equations arising from a hybrid discontinuous Galerkin (in particular, a single face hybridizable, a hybrid Raviart--Tho…
Comparison of skyrmion phases between poly and single-crystal MnSi by composite magnetoelectric method
Peipei Lu, Haifeng Du, Le Wang +6
We have explored the skyrmion phases and phase diagram of poly and single-crystal MnSi by the measurements of the magnetoelectric coefficient alfaE and ac magnetic susceptibility o…
Comprehensive characterizing of vortex phases in type-II superconductor YBa2Cu3O7-x by a magnetoelectric technique
Peipei Lu, Jing Zhang, Jun Lu +3
The vortex phases in type-II superconductors are very important since they determine many magnetic and electric properties of the parent compound. However, a universal tool to char…
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods
Peipei Lu, Andreas Rupp, Guido Kanschat
Uniform convergence of the geometric multigrid V-cycle is proven for HDG methods with a new set of assumptions on the injection operators from coarser to finer meshes. The scheme i…
Homogeneous multigrid for embedded discontinuous Galerkin methods
Peipei Lu, Andreas Rupp, Guido Kanschat
We introduce a homogeneous multigrid method in the sense that it uses the same embedded discontinuous Galerkin (EDG) discretization scheme for Poisson's equation on all levels. In…
HMG -- Homogeneous multigrid for HDG
Peipei Lu, Andreas Rupp, Guido Kanschat
We introduce a homogeneous multigrid method in the sense that it uses the same HDG discretization scheme for Poisson's equation on all levels. In particular, we construct a stable…
Large Magnetoelectric Response in Sr2IrO4/SrTiO3 superlattices with non-equivalent interfaces
Xin Liu, Peipei Lu, Mei Wu +12
Large magnetoelectric response in thin films is highly desired for high-throughput and high-density microelectronic applications. However, the d0 rule in single-phase compounds usu…
Probe Skyrmion phases and dynamics in MnSi via the magnetoelectric effect in a composite configuration
Yisheng Chai, Peipei Lu, Haifeng Du +8
We have developed a sensitive technique to probe the magnetic skyrmion phases and dynamics by employing the interfacial coupling effect in a magnetoelectric composite configuration…
Regularity results for the time-harmonic Maxwell equations with impedance boundary condition
Peipei Lu, Yun Wang, Xuejun Xu
This paper considers the time-harmonic Maxwell equations with impedance boundary condition.We present -norm bound and other high-order norm bounds for strong solutions. The $H…
An absolutely stable -HDG method for the time-harmonic Maxwell equations with high wave number
Peipei Lu, Huangxin Chen, Weifeng Qiu
We present and analyze a hybridizable discontinuous Galerkin (HDG) method for the time-harmonic Maxwell equations. The divergence-free condition is enforced on the electric field,…
A Robust Multilevel Method for Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation
Huangxin Chen, Peipei Lu, Xuejun Xu
A robust multilevel preconditioner based on the hybridizable discontinuous Galerkin method for the Helmholtz equation with high wave number is presented in this paper. There are tw…
A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number
Huangxin Chen, Peipei Lu, Xuejun Xu
This paper analyzes the error estimates of the hybridizable discontinuous Galerkin (HDG) method for the Helmholtz equation with high wave number in two and three dimensions. The ap…