The paper is devoted to a-posteriori quantitative analysis for errors caused by linearization of nonlinear elliptic boundary value problems and their nite element realizations. We employ duality theory in convex analysis to derive computable bounds on the diierence between the solution of a nonlinear problem and the solution of the linearized problem, by using the solution of the linearized pro...

In this paper, we present a multigrid framework for constructing implicit, yet interactive solvers for the governing equations of motion of deformable volumetric bodies. We have integrated linearized, corotational linearized and non-linear Green strain into this framework. Based on a 3D finite element hierarchy, this approach enables realistic simulation of objects exhibiting an elastic modulus...

In this paper we investigate a complex symmetric generalization of general relativity and in particular we investigate its linearized field equations. We begin by reviewing some basic definitions and structures in Moffat’s symmetric complex metric field theory of gravity. We then move on to derive the linearized retarded complex field equations. In addition to this we also derive a linearizatio...