A Diffusion-Driven Characteristic Mapping Method for Particle Management
DOI10.1137/20M1364357MaRDI QIDQ3382798
Xi-Yuan Yin, Jean-Christophe Nave, Linan Chen
Publication date: 22 September 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13076
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Jet schemes for advection problems
- \{Euclidean, metric, and Wasserstein\} gradient flows: an overview
- On a partial differential equation involving the Jacobian determinant
- A gradient-augmented level set method with an optimally local, coherent advection scheme
- Area-preserving mesh parameterization for poly-annulus surfaces based on optimal mass transportation
- Modeling of multicomponent three-dimensional vesicles
- A review of level-set methods and some recent applications
- A blob method for diffusion
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- The scaling and skewness of optimally transported meshes on the sphere
- Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations
- A characteristic mapping method for the two-dimensional incompressible Euler equations
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Cahn-Hilliard on surfaces: a numerical study
- A Lagrangian particle level set method
- Solving PDEs with Hermite Interpolation
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- Computation of geometric partial differential equations and mean curvature flow
- Entropic Approximation of Wasserstein Gradient Flows
- Presentation and analysis of a diffusion-velocity method
- The Variational Formulation of the Fokker--Planck Equation
- Hermite Methods for the Scalar Wave Equation
- Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements
- The Monge–Kantorovitch mass transfer and its computational fluid mechanics formulation
- High-Resolution Conservative Algorithms for Advection in Incompressible Flow
- Finite element methods for surface PDEs
- Multilevel Adaptive Particle Methods for Convection-Diffusion Equations
- Convergence of Entropic Schemes for Optimal Transport and Gradient Flows
- A Lagrangian Particle‐Wavelet Method
- The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets
- Optimal Transport
This page was built for publication: A Diffusion-Driven Characteristic Mapping Method for Particle Management
