A stabilized Galerkin method for a third-order evolutionary problem

摘要: The periodic initial value problem for the partial differential equa- tion ut + uxxx s(u )x 2{u )xx euxx - outx = 0, e , o > arises in fluidization models. numerical integration of is a difficult task that many "reasonable" finite difference and element methods give rise to unstable discretizations. We show how modify standard Galerkin technique order stabilize it. Optimal-order error estimates are derived results experiments presented. stabilization suggested paper can be interpreted as rewriting Sobolev form would also useful other equations involving terms u, Sulx .