A stable finite element method for initial-boundary value problems for first-order hyperbolic systems

Ragnar Winther
1981 Mathematics of Computation  
A nonstandard finite element method for initial-boundary value problems for first-order hyperbolic systems in one space dimension with general boundary conditions is analyzed. The method can be considered as a generalization of the box scheme. We first establish a stability result for the method and then derive several error estimates.
doi:10.1090/s0025-5718-1981-0595042-6 fatcat:ghcaxpl2tzepzapahfsji2o6kq