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math.NA2026
Compact LABFM: a framework for meshless methods with spectral-like resolving power
Henry M. Broadley, Steven J. Lind, Jack R. C. King
Meshless methods are often used in numerical simulations of systems of partial differential equations (PDEs), particularly those which involve complex geometries or free surfaces.…
math.NA2025
A p-adaptive high-order mesh-free framework for fluid simulations in complex geometries
Ruofeng Feng, Jack R. C. King, Steven J. Lind
This paper presents a novel p-adaptive, high-order mesh-free framework for the accurate and efficient simulation of fluid flows in complex geometries. High-order differential opera…
math.NA2025
Improving the accuracy of meshless methods via resolving power optimisation using multiple kernels
H. Broadley, J. R. C. King, S. J. Lind
Meshless methods are commonly used to determine numerical solutions to partial differential equations (PDEs) for problems involving free surfaces and/or complex geometries, approxi…