Numerical solution of the linearized fixed gravimetric boundary-value problem

DOI10.1007/S00190-007-0154-0zbMath1162.86306OpenAlexW2096092538MaRDI QIDQ926968

Matej Mojzeš, Karol Mikula, Róbert Čunderlík

Publication date: 21 May 2008

Published in: Journal of Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00190-007-0154-0

zbMATH Keywords

method of weighted residualsparallel computingcollocationboundary element method (BEM)global and local gravity field modellinglinearized fixed gravimetric boundary-value problem (LFGBVP)piecewise linear basis functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05) Geodesy, mapping problems (86A30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Computational optimization in solving the geodetic boundary value problems ⋮ Solving the fixed gravimetric boundary value problem by the finite element method using mapped infinite elements. ⋮ Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling

Uses Software

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• GRAVSOFT

Cites Work

• Fast space-domain evaluation of geodetic surface integrals
• Coerciveness of the linear gravimetric boundary-value problem and a geometrical interpretation
• On the fast matrix multiplication in the boundary element method by panel clustering
• The boundary problems of physical geodesy
• Fast numerical solution of the linearized Molodensky problem.
• The use of FFT techniques in physical geodesy
• Some criteria for numerically integrated matrices and quadrature formulas for triangles
• APPLICATION OF A NON-LINEAR BOUNDARY-VALUE PROBLEM FOR LAPLACE'S EQUATION TO GRAVITY AND GEOMAGNETIC INTENSITY SURVEYS
• A fast algorithm for particle simulations
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