In this paper, a monolithic arbitrary Lagrangian–Eulerian (ALE)-finite element method (FEM) is developed based upon novel ALE mapping for type of parabolic/mixed parabolic moving interface problem with jump coefficients. A stable Stokes-pair mixed FEM within specific stabilization technique and time-difference scheme are to discretize in both semi- fully discrete fashion, which the stability er...

Abstract We investigate the field equations of conformally invariant models gravity with curvature-matter coupling, constructed in Weyl geometry, using Palatini formalism. consider case which Lagrangian is given by sum square scalar, strength associated to vector, and a geometry-matter coupling term, from matter scalar. After substituting scalar terms its Riemannian counterpart, quadratic actio...

We discuss the scattering of mesons of arbitrary spin and isospin from baryons in models in which the baryon is considered a soliton, or “skyrmion,” in an effective Lagrangian of mesons. Model-independent linear relations between partialwave amplitudes are derived for TN ---) pN and TN + wN , and, where possible, are compared with experiment. Submitted for Publication * Work supported by the De...

Error was identified in Reference 1 subsequent to its publication. The citing [12] should read as2: Donea J, Huerta A, Ponthot J-Ph, Rodríguez-Ferran A. Arbitrary Lagrangian–Eulerian Methods, chapter 14. American Cancer Society, Atlanta, Georgia, 2004. Figure reference “Figure 3A” on page 818 (both) and 820, 1A”, be as, 2A. We apologize for this error.

The need of the office of science programs to approximate the solutions of strongly nonlinear,coupled partial differential equations in complex domains has been a continuous driver for the dualdevelopment of supercomputing platforms and for more accurate and efficient numerical algorithms.Despite the years and magnitude of the effort that has been put into computational science, in ...

Abstract-An Eulerian finite element formulation is presented for problems of large elastic-plastic flow. The method is based on Hill’s variational principle for incremental deformations, and is ideally suited to isotropically hardening Prandtl-Reuss materials. Further, the formulation is given in a manner which allows any conventions finite element program, for “small strain” elastic-plastic an...

The Maslov index of a Lagrangian path, under a certain transversality assumption, is given by an algebraic count of the intersections of the path with a subvariety of the Lagrangian Grassmannian called the Maslov cycle. In these notes we use the notion of generalized signatures at a singularity of a smooth curve of symmetric bilinear forms to determine a formula for the computation of the Maslo...