1.3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of Arkansas at FayettevilleUS17 papers
- University of DelawareUS16 papers
- U.S. National Science FoundationUS15 papers
- Iowa State UniversityUS13 papers
- Purdue University West LafayetteUS12 papers
- Center for Astrophysics Harvard & SmithsonianUS11 papers
- Michigan State UniversityUS11 papers
- Division of Mathematical SciencesUS10 papers
- University of California, Los AngelesUS10 papers
- Washington University in St. LouisUS10 papers
- DePauw UniversityUS9 papers
- Galway-Mayo Institute of TechnologyIE9 papers
11 papers · 1 filter
A Weak Galerkin Finite Element Method for the Maxwell Equations
Lin Mu, Junping Wang, Xiu Ye +1
This paper introduces a numerical scheme for time harmonic Maxwell's equations by using weak Galerkin (WG) finite element methods. The WG finite element method is based on two oper…
A Stable Numerical Algorithm for the Brinkman Equations by Weak Galerkin Finite Element Methods
Lin Mu, Junping Wang, Xiu Ye
This paper presents a stable numerical algorithm for the Brinkman equations by using weak Galerkin (WG) finite element methods. The Brinkman equations can be viewed mathematically…
Analytical coupled vibroacoustic modeling of membrane-type acoustic metamaterials: plate model
Yangyang Chen, Xiaoming Zhou, Gengkai Hu +2
By considering the membrane's dissipation, the membrane-type acoustic metamaterial (MAM) has been demonstrated as a super absorber for low-frequency sound. In the paper, a theoreti…
Analytical coupled vibroacoustic modeling of membrane-type acoustic metamaterials: membrane model
Yangyang Chen, Xiaoming Zhou, Gengkai Hu +2
Membrane-type Acoustic Metamaterials (MAMs) have demonstrated unusual capacity in controlling low-frequency sound transmission/reflection. In this paper, an analytical vibroacousti…
A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation
Lin Mu, Junping Wang, Xiu Ye +1
A weak Galerkin (WG) method is introduced and numerically tested for the Helmholtz equation. This method is flexible by using discontinuous piecewise polynomials and retains the ma…
The two-handed tile assembly model is not intrinsically universal
Erik D. Demaine, Matthew J. Patitz, Trent A. Rogers +3
The well-studied Two-Handed Tile Assembly Model (2HAM) is a model of tile assembly in which pairs of large assemblies can bind, or self-assemble, together. In order to bind, two as…
Signal Transmission Across Tile Assemblies: 3D Static Tiles Simulate Active Self-Assembly by 2D Signal-Passing Tiles
Tyler Fochtman, Jacob Hendricks, Jennifer E. Padilla +2
The 2-Handed Assembly Model (2HAM) is a tile-based self-assembly model in which, typically beginning from single tiles, arbitrarily large aggregations of static tiles combine in pa…
A Weak Galerkin Finite Element Method with Polynomial Reduction
Lin Mu, Junping Wang, Xiu Ye
The novel idea of weak Galerkin (WG) finite element methods is on the use of weak functions and their weak derivatives defined as distributions. Weak functions and weak derivatives…
Further Evidence for a Supermassive Black Hole Mass - Pitch Angle Relation
Joel C. Berrier, Benjamin L. Davis, Daniel Kennefick +7
We present new and stronger evidence for a previously reported relationship between galactic spiral arm pitch angle P (a measure of the tightness of spiral structure) and the mass…
Weak Galerkin Finite Element Methods for the Biharmonic Equation on Polytopal Meshes
Lin Mu, Junping Wang, Xiu Ye
A new weak Galerkin (WG) finite element method is introduced and analyzed in this paper for the biharmonic equation in its primary form. This method is highly robust and flexible i…
A Weak Galerkin Finite Element Method for the Stokes Equations
Junping Wang, Xiu Ye
This paper introduces a weak Galerkin (WG) finite element method for the Stokes equations in the primary velocity-pressure formulation. This WG method is equipped with stable finit…