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Paper: New pulsation codes based on finite element techniques
Volume: 11, Confrontation Between Stellar Pulsation and Evolution
Page: 593
Authors: Brassard, P.; Pelletier, C.; Fontaine, G.; Wesemael, F.
Abstract: Linear pulsation codes based on the numerical concepts of finite-element analysis and providing stability, speed, accuracy, high-order convergence, and ease of use are introduced. The concept of element consists of dividing the mesh of integration into small elements and approximating the solution into each element by a linear combination of n + 1 n-th-order polynomials forming a complete basis and by minimizing the introduced error. The overall integrity of the code is tested on a constant-density analytical model. The convergence properties of various codes are presented using a compositionally stratified white-dwarf model.
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