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200 papers

This manuscript is a collection of problems and solutions related to modeling the cryosphere using the finite element software FEniCS. Included is an introduction to the finite element method; solutions to a variety of problems in one, two,…

Geophysics · Physics 2016-09-16 Evan M. Cummings

We consider within a finite element approach the usage of different adaptively refined meshes for different variables in systems of nonlinear, time-depended PDEs. To resolve different solution behaviours of these variables, the meshes can…

Numerical Analysis · Mathematics 2010-05-27 Thomas Witkowski , Axel Voigt

Finite Element Analysis (FEA) serves as the cornerstone of modern engineering design. However, its workflow is inherently complex and relies heavily on domain expertise. Although recent efforts have integrated Large Language Models (LLMs)…

Artificial Intelligence · Computer Science 2026-05-29 Jiachen Zhang , Junyi Lao , Chenghao Liu , Siyuan Liu , Shixin Wu , Linsen Zhang , Boyu Wang , Songfang Huang

The Large Hadron Electron Collider (LHeC) project is the proposal to use the existing LHC proton/ion beams and construct a new electron beam line to perform high-energy electron-proton/ion collisions. In this talk, we consider some of the…

High Energy Physics - Phenomenology · Physics 2015-10-02 Ilkka Helenius , Hannu Paukkunen , Néstor Armesto

Part-level 3D generation is crucial for various downstream applications, including gaming, film production, and industrial design. However, decomposing a 3D shape into geometrically plausible and meaningful components remains a significant…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Wanhu Sun , Zhongjin Luo , Heliang Zheng , Jiahao Chang , Chongjie Ye , Huiang He , Shengchu Zhao , Rongfei Jia , Xiaoguang Han

Generating 3D shapes at part level is pivotal for downstream applications such as mesh retopology, UV mapping, and 3D printing. However, existing part-based generation methods often lack sufficient controllability and suffer from poor…

Simplifying complex 3D meshes is a crucial step in robotics applications to enable efficient motion planning and physics simulation. Common methods, such as approximate convex decomposition, represent a mesh as a collection of simple parts,…

Robotics · Computer Science 2025-09-30 Brandon Vu , Shameek Ganguly , Pushkar Joshi

We present an easily accessible, object oriented code (written exclusively in Matlab) for adaptive finite element simulations in 2D. It features various refinement routines for triangular meshes as well as fully vectorized FEM ansatz spaces…

Numerical Analysis · Mathematics 2024-07-30 Michael Innerberger , Dirk Praetorius

We propose PartField, a feedforward approach for learning part-based 3D features, which captures the general concept of parts and their hierarchy without relying on predefined templates or text-based names, and can be applied to open-world…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Minghua Liu , Mikaela Angelina Uy , Donglai Xiang , Hao Su , Sanja Fidler , Nicholas Sharp , Jun Gao

FEpX is a modeling framework for computing the elastoplastic deformations of polycrystalline solids. Using the framework, one can simulate the mechanical behavior of aggregates of crystals, referred to as virtual polycrystals, over large…

Materials Science · Physics 2015-04-14 Paul R. Dawson , Donald E. Boyce

We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness…

Mathematical Software · Computer Science 2012-05-15 Anders Logg , Garth N. Wells

Computational simulations using methods such as the finite element (FE) method rely on high-quality meshes for achieving accurate results. This study introduces a method for creating a high-quality hexahedral mesh using the Open Anatomy…

Computational Engineering, Finance, and Science · Computer Science 2024-02-23 Andy Trung Huynh , Benjamin Zwick , Michael Halle , Adam Wittek , Karol Miller

Mesh-free Lagrangian methods are widely used for simulating fluids, solids, and their complex interactions due to their ability to handle large deformations and topological changes. These physics simulators, however, require substantial…

Machine Learning · Computer Science 2025-02-25 Omer Rochman Sharabi , Sacha Lewin , Gilles Louppe

A virtual element discretisation of an Arbitrary Lagrangian-Eulerian method for two-dimensional convection-diffusion equations is proposed employing an isoparametric Virtual Element Method to achieve higher-order convergence rates on curved…

Numerical Analysis · Mathematics 2024-04-30 H. Wells

The Virtual Element Method (VEM) is an extension of the Finite Element Method (FEM) used for handling polytopal meshes. This paper provides a brief introduction to the VEM for a two-dimensional Laplacian problem. Additionally, it highlights…

Numerical Analysis · Mathematics 2023-10-10 F. Dassi

The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational…

We present an open-source CUDA-based package that consists of a compilation of exponential integrators where the action of the matrix exponential or the $\varphi_l$ functions on a vector is approximated using the method of polynomial…

Numerical Analysis · Mathematics 2024-10-23 Pranab J Deka , Alexander Moriggl , Lukas Einkemmer

Eulerian smoothed particle hydrodynamics (Eulerian SPH) is considered as a potential meshless alternative to a traditional Eulerian mesh-based method, i.e. finite volume method (FVM), in computational fluid dynamics (CFD). While researchers…

Fluid Dynamics · Physics 2023-09-06 Zhentong Wang , Chi Zhang , Oskar J. Haidn , Nikolaus A. Adams , Xiangyu Hu

The discovery of deep, steerable taxonomies in large text corpora is currently restricted by a trade-off between the surface-level efficiency of topic models and the prohibitive, non-scalable assignment costs of LLM-integrated frameworks.…

Computation and Language · Computer Science 2026-02-18 Tiago Fernandes Tavares

We present a new version 3.1 of the LanHEP software package. New features of the program include tools for the models with extra dimensions, implementation of the particle classes for FeynArts output and using templates with LanHEP…

High Energy Physics - Phenomenology · Physics 2010-05-12 A. Semenov