An Improved Convergence Result for the Smoothed Particle Hydrodynamics Method
From MaRDI portal
Publication:5855622
DOI10.1137/19M1308293zbMath1466.35294OpenAlexW3134537505MaRDI QIDQ5855622
Publication date: 19 March 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1308293
Particle methods and lattice-gas methods (76M28) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Euler equations (35Q31) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
On differences and comparisons of peridynamic differential operators and nonlocal differential operators, A kernel derivative free SPH method
Cites Work
- Unnamed Item
- Closed form representations for a class of compactly supported radial basis functions
- Frames and other bases in abstract and function spaces. Novel methods in harmonic analysis. Volume 1
- Smoothed particle hydrodynamics (SPH): an overview and recent developments
- High order accurate vortex methods with explicit velocity kernels
- The convergence of the SPH method
- On the connection between Hamiltonian many-particle systems and the hydrodynamical equations
- Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: motivations, current state, and challenges
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Closed form representations and properties of the generalised Wendland functions
- Smoothed Particle Hydrodynamics and Its Diverse Applications
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- A kernel-based discretisation method for first order partial differential equations
- Convergence of the Smoothed Particle Hydrodynamics Method for a Specific Barotropic Fluid Flow: Constructive Kernel Theory
- Convergence of SPH Method for Scalar Nonlinear Conservation Laws
- Scattered Data Approximation