Point cloud generation for meshfree methods: An overview
P Suchde, T Jacquemin, O Davydov - Archives of Computational Methods …, 2023 - Springer
Meshfree methods are becoming an increasingly popular alternative to mesh-based
methods of numerical simulation. The biggest stated advantage of meshfree methods is the …
methods of numerical simulation. The biggest stated advantage of meshfree methods is the …
Guidelines for RBF-FD discretization: Numerical experiments on the interplay of a multitude of parameter choices
There exist several discretization techniques for the numerical solution of partial differential
equations. In addition to classical finite difference, finite element and finite volume …
equations. In addition to classical finite difference, finite element and finite volume …
[HTML][HTML] Parallel domain discretization algorithm for RBF-FD and other meshless numerical methods for solving PDEs
In this paper, we present a novel parallel dimension-independent node positioning
algorithm that is capable of generating nodes with variable density, suitable for meshless …
algorithm that is capable of generating nodes with variable density, suitable for meshless …
Rang: A residual-based adaptive node generation method for physics-informed neural networks
W Peng, W Zhou, X Zhang, W Yao, Z Liu - arxiv preprint arxiv:2205.01051, 2022 - arxiv.org
Learning solutions of partial differential equations (PDEs) with Physics-Informed Neural
Networks (PINNs) is an attractive alternative approach to traditional solvers due to its …
Networks (PINNs) is an attractive alternative approach to traditional solvers due to its …
Strong form mesh-free hp-adaptive solution of linear elasticity problem
We present an algorithm for hp-adaptive collocation-based mesh-free numerical analysis of
partial differential equations. Our solution procedure follows a well-established iterative …
partial differential equations. Our solution procedure follows a well-established iterative …
A fully meshless approach to the numerical simulation of heat conduction problems over arbitrary 3D geometries
One of the goals of new CAE (Computer Aided Engineering) software is to reduce both time
and costs of the design process without compromising accuracy. This result can be …
and costs of the design process without compromising accuracy. This result can be …
[HTML][HTML] Meshless interface tracking for the simulation of dendrite envelope growth
The growth of dendritic grains during solidification is often modelled using the Grain
Envelope Model (GEM), in which the envelope of the dendrite is an interface tracked by the …
Envelope Model (GEM), in which the envelope of the dendrite is an interface tracked by the …
Simulation of heat conduction in complex domains of multi-material composites using a meshless method
Several engineering applications involve complex materials with significant and
discontinuous variations in thermophysical properties. These include materials for thermal …
discontinuous variations in thermophysical properties. These include materials for thermal …
Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis
We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on
domains whose boundaries are represented as computer-aided design (CAD) models, more …
domains whose boundaries are represented as computer-aided design (CAD) models, more …
Iterative solvers for RBF-FD discretized flow problems
W Leinen - 2024 - tore.tuhh.de
This thesis deals with the numerical solution of partial differential equations via the radial
basis function-finite difference (RBF-FD) method and the iterative solution of the arising …
basis function-finite difference (RBF-FD) method and the iterative solution of the arising …