Statistics – Computation
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apjs...80..725b&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 80, no. 2, June 1992, p. 725-752. Research supported by NSERC and
Statistics
Computation
38
Adiabatic Conditions, Finite Element Method, Stellar Oscillations, White Dwarf Stars, Boundary Value Problems, Computational Astrophysics, Cubic Equations, Quadratic Equations
Scientific paper
A new numerical code to solve the system of ordinary differential equations which describes the linear, adiabatic, nonradial pulsations of stellar models is presented. This code, based on the Galerkin FEM of weighted residuals, is characterized by its stability, speed, accuracy, high-order convergence, and ease of use. Its performance is illustrated in tests carried out both with a homogeneous, polytropic stellar model and with a realistic stellar evolution model. It is also contrasted with the performance of two other codes, previously used in adiabatic studies of pulsating DA white dwarfs, which are based on either relaxation or shooting methods. The finite-element code outperforms both of them in terms of accuracy, effectiveness, and stability.
Brassard Pierre
Fontaine Gérard
Pelletier Christine C.
Wesemael François
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