Finite element collocation methods for first-order systems
نویسندگان
چکیده
منابع مشابه
Finite Element Collocation Methods for First Order Systems
Finite element methods and the associate collocation methods are considered for solving first-order hyperbolic systems, positive in the sense of Friedrichs. Applied in the case when the meshes are rectangle, those methods lead for example to the successfully used box scheme for the heat equation or D.S.N. scheme for the neutron transport equation. Generalizations of these methods are described ...
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Least-squares principles use artificial " energy " functionals to provide a Rayleigh-Ritz-like setting for the finite element method. These function-als are defined in terms of PDE's residuals and are not unique. We show that viable methods result from reconciliation of a mathematical setting dictated by the norm-equivalence of least-squares functionals with practicality constraints dictated by...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1979
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1979-0528046-0