An Unstructured Forward-Backward Lagrangian Scheme for Transport Problems

DOI10.1007/978-3-319-57394-6_29zbMath1366.76075OpenAlexW2619702919MaRDI QIDQ5271128

Martin Campos Pinto

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_29

zbMATH Keywords

transport equationsa priori error estimatesparticle methodssemi-Lagrangian methodsremapped particle methods

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for linear first-order PDEs (35F10)

Cites Work

• Noiseless Vlasov-Poisson simulations with linearly transformed particles
• A forward semi-Lagrangian method for the numerical solution of the Vlasov equation
• Towards smooth particle methods without smoothing
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• A forward-trajectory global semi-Lagrangian transport scheme.
• Vortex methods with spatially varying cores
• Optimal Approximations of Transport Equations by Particle and Pseudoparticle Methods
• Convergence of a Variable Blob Vortex Method for the Euler and Navier–Stokes Equations
• On the approximation power of convolution-based least squares versus interpolation
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow

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