This paper establishes a O(h 1 4 ) error estimate in the L∞ t (L1 x)-norm for the approximation of scalar conservation equations using an explicit continuous finite element tech...
A new higher order finite element method for elliptic partial differential equations on a stationary smooth surface Γ is introduced and analyzed. We assume that Γ is characteri...
We present and analyze a new damping approach called backward step control for the globalization of the convergence of Newton-type methods for the numerical solution of nonlinear r...