In this paper we develop a numerical method for partial differential equations with changing type. Our method is based on a unified solution theory found by Rainer Picard for several linear equations from mathematical physics. Parallel to the solution theory already developed, we frame our numerical method in a discontinuous Galerkin approach in time with certain exponentially weighted spaces combined with a finite element method in space.
|Number of pages||30|
|Journal||IMA journal of numerical analysis|
|Publication status||Published - Apr 2019|
- evolutionary equations, changing type system, discontinuous Galerkin, space-time approach, DISCONTINUOUS GALERKIN METHODS, FRIEDRICHS SYSTEMS, WELL-POSEDNESS, EQUATIONS