Solving partial differential equations on (evolving) surfaces with radial basis functions

DOI10.1007/s10444-020-09803-0zbMath1455.65184OpenAlexW3042744354MaRDI QIDQ2216611

Jens Künemund, Holger Wendland

Publication date: 16 December 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09803-0

zbMATH Keywords

radial basis functionsmeshfree methodspartial differential equations on surfaceskernel-based discretisationssemi-linear problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Semilinear parabolic equations (35K58)

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