Partial differential-algebraic systems of second order with symmetric convection
The paper deals with the approximate solutions of the partial differential algebraic equation \[ Au_t + B(t,x)\Delta u + \sum_{j=1}^d D_j(t,x) \partial _j u + E(t,x)u + F(t,x,u) u = f(t,x), \] where the convection terms are assumed to be symmetric. The author proves an estimate of the \(L^2\)-norm \(| | u-u_h| | \) in terms of the mesh parameter \(h\), where \(u_h\) is the solution of the respective semidiscretized system.
partial differential algebraic equations
scientific article; zbMATH DE number 2160268