Abstract
General principles of direct and variational methods are discussed first, together with basic functional-analytic tools, especially Sobolev’s weight space. An interpretation of Neumann’s problem as a minimization problem for a quadratic functional is approached as an example. The focus, however, is on the linear gravi metric boundary value problem and a successive rectification of an oblique derivative in. the respective boundary condition for the disturbing potential, The convergence and a tie of this concept to minimization principles is discussed. Finally, an interpretation in terms of function bases is shown
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Holota, P. (2000). Direct methods in physical geodesy. In: Schwarz, KP. (eds) Geodesy Beyond 2000. International Association of Geodesy Symposia, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59742-8_27
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DOI: https://doi.org/10.1007/978-3-642-59742-8_27
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