5 papers
Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations
Yulong Pan, Michael Lindsey, Per-Olof Persson
We present a geometric multigrid solver based on adaptive smoothed aggregation suitable for Discontinuous Galerkin (DG) discretisations. Mesh hierarchies are formed via domain deco…
Gravitational Wave with Domain Wall Dominance
Sungwoo Hong, Sung Mook Lee, Qiuyue Liang
Domain walls (DWs) can be produced when a discrete symmetry is spontaneously broken, and long-lived DWs can dominate the energy density of the universe. In this work, we explore th…
Differentiable Programming for Differential Equations: A Review
Facundo Sapienza, Jordi Bolibar, Frank Schäfer +8
The differentiable programming paradigm is a cornerstone of modern scientific computing. It refers to numerical methods for computing the gradient of a numerical model's output. Ma…
Half-closed discontinuous Galerkin discretisations
Yulong Pan, Per-Olof Persson
We introduce the concept of half-closed nodes for nodal discontinuous Galerkin (DG) discretisations. Unlike more commonly used closed nodes in DG, where on every element nodes are…
Learning topological operations on meshes with application to block decomposition of polygons
Arjun Narayanan, Yulong Pan, Per-Olof Persson
We present a learning based framework for mesh quality improvement on unstructured triangular and quadrilateral meshes. Our model learns to improve mesh quality according to a pres…