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We describe a two-level method for computing a function whose zero-level set is the surface reconstructed from given points scattered over the surface and associated with surface normal vectors. The function is defined as a linear…

Graphics · Computer Science 2017-08-23 Rongjiang Pan , Vaclav Skala

The characterisation of the spatial and temporal distribution of the root system in a cultivated field depends on the soil volume occupied by the root systems (the scatter), and the local intensity of the root colonisation in the field (the…

Applications · Statistics 2020-11-03 Jeanett S. Pelck , Rodrigo Labouriau

We present new MCMC algorithms for computing the posterior distributions and expectations of the unknown variables in undirected graphical models with regular structure. For demonstration purposes, we focus on Markov Random Fields (MRFs).…

Computation · Statistics 2012-07-19 Firas Hamze , Nando de Freitas

We describe and test numerically an adaptive meshless generalized finite difference method based on radial basis functions that competes well with the finite element method on standard benchmark problems with reentrant corners of the…

Numerical Analysis · Mathematics 2025-08-26 Dang Thi Oanh , Oleg Davydov , Hoang Xuan Phu

In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow problem within complex heterogeneous fractured porous media. Mathematically, each of the dual continua is modeled by a multiscale Richards equation…

Numerical Analysis · Mathematics 2021-06-03 Jun Sur Richard Park , Siu Wun Cheung , Tina Mai

Soil moisture is a quantity of interest in many application areas including agriculture and climate modeling. Existing methods are not suitable for scale applications due to large deployment costs in high-resolution sensing applications…

In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle approximation. Namely, we will consider shape functions…

Numerical Analysis · Mathematics 2007-12-02 R. A. Brownlee , P. Houston , J. Levesley , S. Rosswog

Based on the radial basis function (RBF), non-singular general solution and dual reciprocity principle (DRM), this paper presents an inheretnly meshless, exponential convergence, integration-free, boundary-only collocation techniques for…

Numerical Analysis · Mathematics 2025-10-20 W. Chen

A Radial Basis Function Generated Finite-Differences (RBF-FD) inspired technique for evaluating definite integrals over bounded volumes that have smooth boundaries in three dimensions is described. A key aspect of this approach is that it…

Numerical Analysis · Mathematics 2023-01-11 Jonah A. Reeger

In this work a fully passive energy harvesting foil is studied computationally. An in-house 2nd order finite volume CFD solver, MaPFlow, is strongly coupled with a rigid body dynamics solver to investigate the foil operation under uniform…

Fluid Dynamics · Physics 2022-07-25 Konstantinos Theodorakis , Dimitris Ntouras , George Papadakis

The multiphase flow mechanism in miscible displacement through porous media is an important topic in various applications, such as petroleum engineering, low Reynolds number suspension flows, dusty gas dynamics, and fluidized beds. To…

Fluid Dynamics · Physics 2017-05-03 M. Jalal Ahammad , Jahrul M Alam

Leaf wetness detection is a crucial task in agricultural monitoring, as it directly impacts the prediction and protection of plant diseases. However, existing sensing systems suffer from limitations in robustness, accuracy, and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Yimeng Liu , Maolin Gan , Yidong Ren , Gen Li , Jingkai Lin , Younsuk Dong , Zhichao Cao

In Earth sciences, unobserved factors exhibit non-stationary spatial distributions, causing the relationships between features and targets to display spatial heterogeneity. In geographic machine learning tasks, conventional statistical…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Siqi Du , Hongsheng Huang , Kaixin Shen , Ziqi Liu , Shengjun Tang

Derivative boundary conditions introduce challenges for mesh-free discretizations of PDEs on surfaces, especially when the domain is represented by randomly sampled point clouds. The recently developed two-step tangent-space RBF-generated…

Numerical Analysis · Mathematics 2026-03-31 Peng Chen , Shixiao Willing Jiang , Rongji Li , Qile Yan

A machine-learnable variational scheme using Gaussian radial basis functions (GRBFs) is presented and used to approximate linear problems on bounded and unbounded domains. In contrast to standard mesh-free methods, which use GRBFs to…

Numerical Analysis · Mathematics 2024-10-10 Jonas A. Actor , Anthony Gruber , Eric C. Cyr , Nathaniel Trask

The quality of datasets is a critical issue in big data mining. More interesting things could be mined from datasets with higher quality. The existence of missing values in geographical data would worsen the quality of big datasets. To…

Numerical Analysis · Mathematics 2020-02-21 Kaifeng Gao , Gang Mei , Salvatore Cuomo , Francesco Piccialli , Nengxiong Xu

In this study, a novel machine learning algorithm is presented for disaggregation of satellite soil moisture (SM) based on self-regularized regressive models (SRRM) using high-resolution correlated information from auxiliary sources. It…

Computer Vision and Pattern Recognition · Computer Science 2016-07-19 Subit Chakrabarti , Jasmeet Judge , Anand Rangarajan , Sanjay Ranka

In submerged sandy slopes, soil is frequently eroded as a combination of two main mechanisms: breaching, which refers to the retrogressive failure of a steep slope forming a turbidity current, and, instantaneous sliding wedges, known as…

The study of flow in fractured porous media is a key ingredient for many geoscience applications, such as reservoir management and geothermal energy production. Modelling and simulation of these highly heterogeneous and geometrically…

Numerical Analysis · Mathematics 2022-12-28 Davide Losapio , Anna Scotti

An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This strategy, originally designed to tackle generic 3D-1D coupled…

Numerical Analysis · Mathematics 2024-12-18 Stefano Berrone , Stefano Ferraris , Denise Grappein , Gioana Teora , Fabio Vicini