Regularisation of the Helmholtz decomposition and its application to geomagnetic field modelling

DOI10.1007/s13137-010-0001-yzbMath1204.41011OpenAlexW1986504569MaRDI QIDQ623748

Sumit K. Garg

Publication date: 8 February 2011

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-010-0001-y

zbMATH Keywords

weak convergenceGreen's functionMaxwell's equationsregularisationHelmholtz decomposition

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Computational methods for problems pertaining to geophysics (86-08) Approximation by other special function classes (41A30) Geo-electricity and geomagnetism (86A25) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (3)

LOCALLY SUPPORTED WAVELETS FOR THE SEPARATION OF SPHERICAL VECTOR FIELDS WITH RESPECT TO THEIR SOURCES ⋮ REGULARIZED SOLUTION OF THE POISSON AND THE WAVE EQUATIONS OF 3D STRUCTURES ⋮ Evolutionary de Rham-Hodge method

Cites Work

• A class of self-sustaining dissipative spherical dynamos
• Computing Fourier transforms and convolutions on the 2-sphere
• Local multiscale modelling of geoid undulations from deflections of the vertical
• Local modelling of sea surface topography from (geostrophic) ocean flow
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