14 citations · 17 across the 6 of their papers we have counts for
6 papers
Infinite-lattice discrete Calderón projection via the lattice Green's function for active noise shielding and confinement
Qing Xia
We construct an infinite-lattice discrete Calderón projection for the Helmholtz equation by convolution with the lattice Green's function (LGF), and apply it to active noise shield…
A penalty-free bulk--surface CutFEM stabilized by lattice Green's function extensions
Qing Xia
We introduce a penalty-free cut finite element method for surface elliptic problems coupled to a harmonic bulk field on a Cartesian grid. Instead of adding a stabilization term, th…
Local-basis Difference Potentials Method for elliptic PDEs in complex geometry
Qing Xia
We develop efficient and high-order accurate finite difference methods for elliptic partial differential equations in complex geometry in the Difference Potentials framework. The m…
Difference Potentials Method for Models with Dynamic Boundary Conditions and Bulk-Surface Problems
Yekaterina Epshteyn, Qing Xia
In this work, we consider parabolic models with dynamic boundary conditions and parabolic bulk-surface problems in 3D. Such partial differential equations based models describe phe…
Efficient Numerical Algorithms based on Difference Potentials for Chemotaxis Systems in 3D
Yekaterina Epshteyn, Qing Xia
In this work, we propose efficient and accurate numerical algorithms based on Difference Potentials Method for numerical solution of chemotaxis systems and related models in 3D. Th…
High-order numerical methods for 2D parabolic problems in single and composite domains
Gustav Ludvigsson, Kyle R. Steffen, Simon Sticko +4
In this work, we discuss and compare three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains wi…