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We advocate the use of implicit fields for learning generative models of shapes and introduce an implicit field decoder, called IM-NET, for shape generation, aimed at improving the visual quality of the generated shapes. An implicit field…

Graphics · Computer Science 2019-09-18 Zhiqin Chen , Hao Zhang

A novel smooth immersed boundary method (IBM) based on a direct-forcing formulation is proposed to simulate incompressible dense particle-laden flows. This IBM relies on a regularization of the transfer function between the Eulerian grid…

Computational Physics · Physics 2023-04-24 Victor Chéron , Fabien Evrard , Berend van Wachem

Developing machine intelligence abilities in robots and autonomous systems is an expensive and time consuming process. Existing solutions are tailored to specific applications and are harder to generalize. Furthermore, scarcity of training…

Robotics · Computer Science 2023-10-10 Sai Vemprala , Shuhang Chen , Abhinav Shukla , Dinesh Narayanan , Ashish Kapoor

Grids are a general representation for capturing regularly-spaced information, but since they are uniform in space, they cannot dynamically allocate resolution to regions with varying levels of detail. There has been some exploration of…

Graphics · Computer Science 2026-01-12 Julian Knodt , Seung-Hwan Baek

Parametric data-driven reduced-order models (ROMs) that embed dependencies in a large number of input parameters are crucial for enabling many-query tasks in large-scale problems. These tasks, including design optimization, control, and…

Computational Physics · Physics 2026-02-03 Kevin Gill , Ionut-Gabriel Farcas , Silke Glas , Benjamin J. Faber

An ortho-radial grid is described by concentric circles and straight-line spokes emanating from the circles' center. An ortho-radial drawing is the analog of an orthogonal drawing on an ortho-radial grid. Such a drawing has an unbounded…

Computational Geometry · Computer Science 2020-08-26 Benjamin Niedermann , Ignaz Rutter

The use of multigrid and related preconditioners with the finite element method is often limited by the difficulty of applying the algorithm effectively to a problem, especially when the domain has a complex shape or adaptive refinement. We…

Numerical Analysis · Computer Science 2015-03-19 Peter R. Brune , Matthew G. Knepley , L. Ridgway Scott

Instant-NGP has been the state-of-the-art architecture of neural fields in recent years. Its incredible signal-fitting capabilities are generally attributed to its multi-resolution hash grid structure and have been used and improved in…

Machine Learning · Computer Science 2025-05-07 Steven Tin Sui Luo

A low-pressure magnetized plasma is studied to find the dependency of sheath properties on ion-neutral collisions in presence of an inhomogeneous magnetic field. A self-consistent one-dimensional two-fluid hydrodynamic model is considered,…

Plasma Physics · Physics 2021-05-04 K. Deka , S. Adhikari , R. Moulick , S. S. Kausik , B. K. Saikia

The principle behind magnetic fusion is to confine high temperature plasma inside a device in such a way that the nuclei of deuterium and tritium joining together can release energy. The high temperatures generated needs the plasma to be…

Numerical Analysis · Mathematics 2024-03-26 Giacomo Albi , Giacomo Dimarco , Federica Ferrarese , Lorenzo Pareschi

We present a novel numerical approach aiming at computing equilibria and dynamics structures of magnetized plasmas in coronal environments. A technique based on the use of neural networks that integrates the partial differential equations…

Solar and Stellar Astrophysics · Physics 2023-10-30 Hubert Baty , Vincent Vigon

The Indoor Geometry Generator (IGG) is able to generate automatically simplified indoor geometry and its associated unstructured mesh for Computational Fluid Dynamics (CFD) simulations purposes given very simple user inputs. A large number…

Fluid Dynamics · Physics 2023-10-25 Laetitia Mottet

A method is presented to include irregular domain boundaries in a geometric multigrid solver. Dirichlet boundary conditions can be imposed on an irregular boundary defined by a level set function. Our implementation employs quadtree/octree…

Numerical Analysis · Mathematics 2023-01-26 Jannis Teunissen , Francesca Schiavello

Recent works have shown that Large Language Models (LLMs) can facilitate the grounding of instructions for robotic task planning. Despite this progress, most existing works have primarily focused on utilizing raw images to aid LLMs in…

Robotics · Computer Science 2024-03-12 Zhe Ni , Xiaoxin Deng , Cong Tai , Xinyue Zhu , Qinghongbing Xie , Weihang Huang , Xiang Wu , Long Zeng

A new kind of overset grid, named Yin-Yang grid, for spherical geometry is proposed. The Yin-Yang grid is composed of two identical component grids that are combined in a complemental way to cover a spherical surface with partial overlap on…

Geophysics · Physics 2013-09-05 Akira Kageyama , Tetsuya Sato

For domains that are easily represented by structured meshes, robust geometric multigrid solvers can quickly provide the numerical solution to many discretized elliptic PDEs. However, for complicated domains with unstructured meshes,…

Numerical Analysis · Mathematics 2025-09-11 Nicolas Nytko , Scott MacLachlan , J. David Moulton , Luke N. Olson , Andrew Reisner , Matthew West

Estimating free energy differences quantifies thermodynamic preferences in molecular interactions, which is central to chemistry and drug discovery. Despite fruitful progress, existing methods still face key limitations: classical…

Machine Learning · Computer Science 2026-05-05 Ziyang Yu , Yi He , Wenbing Huang , Wen Yan , Yang Liu

Two-dimensional magnetic garnets exhibit complex and fascinating magnetic domain structures, like stripes, labyrinths, cells and mixed states of stripes and cells. These patterns do change in a reversible way when the intensity of an…

Statistical Mechanics · Physics 2009-11-07 J. R. Iglesias , S. Goncalves , O. Nagel , M. Kiwi

We introduce a fast and invertible approximation for data simulated as 2D planar meshes with connectivities along the poloidal dimension in deforming 3D toroidal (donut-like) spaces generated by fusion simulations. In fusion simulations,…

Graphics · Computer Science 2025-06-02 Congrong Ren , Hanqi Guo

Turbulence simulation codes can exploit the flute-like nature of plasma turbulence to reduce the effective number of degrees of freedom necessary to represent fluctuations. This can be achieved by employing magnetic coordinates of which one…

Plasma Physics · Physics 2015-05-18 M. A. Ottaviani