95 citations · 110 across the 6 of their papers we have counts for
7 papers
Uniform error analysis of a rectangular Morley finite element method on a Shishkin mesh for a 4th-order singularly perturbed boundary value problem
Xiangyun Meng, Martin Stynes
The singularly perturbed reaction-diffusion problem is considered on the unit square in with homoge…
Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D
Shicheng Liu, Xiangyun Meng, Qilong Zhai
We consider the singularly perturbed fourth-order boundary value problem on the unit square , with boundary conditions $u = \p…
Learning Composable Behavior Embeddings for Long-horizon Visual Navigation
Xiangyun Meng, Yu Xiang, Dieter Fox
Learning high-level navigation behaviors has important implications: it enables robots to build compact visual memory for repeating demonstrations and to build sparse topological m…
Scaling Local Control to Large-Scale Topological Navigation
Xiangyun Meng, Nathan Ratliff, Yu Xiang +1
Visual topological navigation has been revitalized recently thanks to the advancement of deep learning that substantially improves robot perception. However, the scalability and re…
Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions
Natalia Kopteva, Xiangyun Meng
An initial-boundary value problem with a Caputo time derivative of fractional order is considered, solutions of which typically exhibit a singular behaviour at an initi…
Neural Autonomous Navigation with Riemannian Motion Policy
Xiangyun Meng, Nathan Ratliff, Yu Xiang +1
End-to-end learning for autonomous navigation has received substantial attention recently as a promising method for reducing modeling error. However, its data complexity, especiall…
Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
XiangYun Meng, XueQin Yang, Shuo Zhang
In this paper, we present the convergence analysis of the rectangular Morley element scheme utilised on the second order problem in arbitrary dimensions. Specifically, we prove tha…