Solution of Einstein's gravitational field equations by the finite element method

Details Solution of Einstein's gravitational field equations by the finite element method Solution of Einstein's gravitational field equations by the finite element method

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980zamm...60...83g&link_type=abstract

Zeitschrift für angewandte Mathematik und Mechanik, vol. 60, Feb. 1980, p. 83-88.

Mathematics

Einstein Equations, Finite Element Method, Gravitation Theory, Relativity, Field Theory (Physics), Matrices (Mathematics), Newton-Raphson Method, Space-Time Functions, Variational Principles

Scientific paper

Einstein's field equations of gravitation in presence of matter are presented in the form of a discrete functional from which, after performing an extremization process, a system of nonlinear algebraic equations arises. On this basis, a 4-dimensional finite element is developed and in the case of spherical symmetry and time-independence, a numerical example is carried out.

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