Premium
Semidiscrete least squares methods for linear hyperbolic systems
Author(s) -
Chen TsuFen
Publication year - 1992
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690080503
Subject(s) - mathematics , discretization , piecewise , least squares function approximation , finite element method , piecewise linear function , burgers' equation , mathematical analysis , inviscid flow , polynomial , hyperbolic partial differential equation , partial differential equation , statistics , physics , estimator , mechanics , thermodynamics
Some approximate methods for solving linear hyperbolic systems are presented and analyzed. The methods consist of discretizing with respect to time and solving the resulting hyperbolic system for fixed time by least squares finite element methods. An analysis of least squares approximations is given, including optimal order estimates for piecewise polynomial approximation spaces. Numerical results for the inviscid Burgers' equation are also presented. © 1992 John Wiley & Sons, Inc.