Concept

Unstructured grid

Related publications (12)

Neural Cellular Automata: From Cells to Pixels

Neural Cellular Automata (NCAs) are bio-inspired dynamical systems in which identical cells iteratively apply a learned local update rule to self-organize into complex patterns, exhibiting regeneration, robustness, and spontaneous dynamics. Despite their success in texture synthesis and morphogenesis, NCAs remain largely confined to low-resolution outputs. This limitation stems from (1) training time and memory requirements that grow quadratically with grid size, (2) the strictly local propagation of inform

ACM2026

LLMs for Resource Allocation: A Participatory Budgeting Approach to Inferring Preferences

Boi Faltings

Large Language Models (LLMs) are increasingly expected to handle complex decision-making tasks, yet their ability to perform structured resource allocation remains underexplored. Evaluating their reasoning is also difficult due to data contamination and the static nature of existing benchmarks. We present a dual-purpose framework leveraging Participatory Budgeting (PB) both as (i) a practical setting for LLM-based resource allocation and (ii) an adaptive benchmark for evaluating their reasoning capabilities

IOS Press2025

MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines

We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured quadrilateral meshes. In a THU-spline construction, an unstructured quadrilateral mesh is taken as the input control mesh, where the degenerated-patch method is adopted in irregular regions to define C1-continuous bicubic splines, whereas regular regions only involve C2 B-splines. Irregular regions are then smoothly joined with regular regions through the truncatio

MATHICSE2021

MATHICSE Technical Report : Region extraction in mesh intersection

Region extraction is a very common task in both Computer Science and Engineering with several applications in object recognition and motion analysis, among others. Most of the literature focuses on regions delimited by straight lines, often in the special case of intersection detection among two unstructured meshes. While classical region extraction algorithms for line drawings and mesh intersection algorithms have proved to be able to deal with many applications, the advances in Isogeometric Analysis requi

MATHICSE2021

An evaluation of recently developed RANS-based turbulence models for flow over a two-dimensional block subjected to different mesh structures and grid resolutions

Understanding, analyzing and predicting meteorological phenomena related to urban planning and built environment are becoming more essential than ever to architectural and urban projects. Recently, various version of RANS models have been established but more validation cases are required to confirm their capability for wind flows. In the present study, the performance of recently developed RANS models, including the RNG k-ε, SST BSL k-ω and SST γ−Reθ, have been evaluated for the flow past a single block (w

2016

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

A fully discrete analysis of the finite element heterogeneous multiscale method for a class of nonlinear elliptic homogenization problems of nonmonotone type is proposed. In contrast to previous results obtained for such problems in dimension

d\leq2

for the

H^1

norm and for a semi-discrete formulation [W.E, P. Ming and P. Zhang, J. Amer. Math. Soc. 18 (2005), no. 1, 121–156], we obtain optimal convergence results for dimension

d\leq3

and for a fully discrete method, which takes into account the micros

Amer Mathematical Soc2014

Probing the microscopic strength of alumina reinforcements

Andreas Mortensen, Marco Cantoni, Andreas Rossoll

In this work we develop a methodology to probe the strength and toughness of microscopic brittle phases by combining focused ion beam (FIB) milling methods with microtesting techniques and finite element simulation. We present results from tests conducted on alumina fibres and compare data thus obtained with known macroscopic fibre properties derived from tensile tests conducted on long sections of the fibres. The developed methodology is to be transposed towards the microscopic mechanical testing of irregu

2013

Segmentation and Grid Generation for Numerical Simulations of VAD Connections with Patientspecific Data

Alfio Quarteroni, Simone Deparis

Objectives: We are interested in the numerical simulation of the anastomotic region comprised between outflow canula of LVAD and the aorta. Segmentation, geometry reconstruction and grid generation from patient specific data remain an issue because of the variable quality of DICOM images, in particular CT-scan (e.g. metallic noise of the device, non-aortic contrast phase). We propose a general framework to overcome this problem and create suitable grids for numerical simulations. Methods: Preliminary treatm

2011

Development of a musculoskeletal model of the knee joint to predict articular contact patterns during a loaded squat movement

Computational models are a current way to study specific behavior of healthy or pathological tissue or the mechanics of joints. Simulating the native anatomical structures and kinematics are two of the most important tasks to achieve reliable results. It is especially challenging for the knee as it is one of the most complex joint in the human body. It consists of two articulations, one between femur and tibia and one between femur and patella. This thesis estimates the patellofemoral and tibiafemoral conta

2010

On the Simulation of Acoustic Standing Waves for Microfluidic Applications with the Lattice Boltzmann Method

Nico de Rooij, Alexandra Anne Labiba Kämpfer-Homsy

In recent years, the Lattice Boltzmann Method (LBM) has been demonstrated as an interesting alternative for the simulation of complex fluid flows. Unlike finite elements models (FEM) based on a discretization of macroscopic continuum equations, the LBM is derived from microscopic models and mesoscopic kinetic equations [1]. As an increasing number of studies use acoustic standing waves for microfluidics applications [2], the LBM constitutes an efficient alternative to simulate complex interactions between f

2010

Multiscale modelling of urban climate

Climate has a direct impact on cities' energy flows due to the space conditioning (heating, cooling) needs of the buildings accommodated. This impact may be reinforced due to climate change and to the (so called) urban heat island effect. The corresponding ...

EPFL2009

Parallel mesh adaptive techniques for complex flow simulation

Dynamic mesh adaptation on unstructured grids, by localised refinement and derefinement, is a very efficient tool for enhancing solution accuracy and optimise computational time. One of the major drawbacks however resides in the projection of the new nodes ...

EPFL2008

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Related publications (12)

An evaluation of recently developed RANS-based turbulence models for flow over a two-dimensional block subjected to different mesh structures and grid resolutions

2016

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

d\leq2

for the

H^1

norm and for a semi-discrete formulation [W.E, P. Ming and P. Zhang, J. Amer. Math. Soc. 18 (2005), no. 1, 121–156], we obtain optimal convergence results for dimension

d\leq3

and for a fully discrete method, which takes into account the micros

Amer Mathematical Soc2014

Probing the microscopic strength of alumina reinforcements

Andreas Mortensen, Marco Cantoni, Andreas Rossoll

2013

Segmentation and Grid Generation for Numerical Simulations of VAD Connections with Patientspecific Data

Alfio Quarteroni, Simone Deparis

2011

Development of a musculoskeletal model of the knee joint to predict articular contact patterns during a loaded squat movement

2010