We show how the method of pseudo-transient continuation can be applied to improve the robustness of the Newton iteration within a nonlinear transient elasticity simulation. Pseudotransient continuation improves efficiency and robustness of the transient analysis by enabling larger time steps than possible with a Newton iteration. We illustrate the algorithm by reporting on a simulation of a buc...

background : almost two thirds of iranians eligible for using contraceptive methods use these methods. their dissatisfaction with the methods would directly and indirectly affect the quality of family planning services and would bring about detrimental results for the service recipients and consequently for other family members. therefore, identification and evaluation of the factors leading to...

Multi-homogeneous homotopy continuation method is one of the most efficient approaches in solving all isolated solutions of a polynomial system of equations. Finding the optimal partition of variables with the minimal multihomogeneous Bézout number is clearly an optimization problem. Multi-homogeneous continuation using the optimal partition of variables reduces the computational cost in path t...

We present an explicit product formula for the spherical functions of the compact Gelfand pairs (G,K1) = (SU(p+ q), SU(p)× SU(q)) with p ≥ 2q, which can be considered as the elementary spherical functions of one-dimensional K-type for the Hermitian symmetric spaces G/K with K = S(U(p)× U(q)). Due to results of Heckman, they can be expressed in terms of Heckman-Opdam Jacobi polynomials of type B...

A stable and high-order method for solving the Helmholtz equation on a twodimensional domain exterior to a bounded obstacle is developed in this paper. The method is based on a boundary perturbation technique (“transformed field expansions”) coupled with a wellconditioned high-order spectral-Galerkin solver. The method is further enhanced with numerical analytic continuation, implemented via Pa...

We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H1-norm and L2-norm.

In this paper we prove convergence and error estimates for the socalled 3-field formulation using piecewise linear finite elements stabilized with boundary bubbles. Optimal error bounds are proved in L2 and in the broken H1 norm for the internal variable u, and in suitable weighted L2 norms for the other variables λ and ψ.

We have recently introduced the “continuation semantics for concurrency” (CSC) technique in an attempt to exploit the benefits of using continuations in concurrent systems development. In the CSC approach, a continuation is an application-dependent configuration of computations (partially evaluated denotations). Every computation or group of computations contained in a continuation can be acces...

We prove that a discrete maximum principle holds for continuous piecewise linear finite element approximations for the Poisson equation with the Dirichlet boundary condition also under a condition of the existence of some obtuse internal angles between faces of terahedra of triangulations of a given space domain. This result represents a weakened form of the acute type condition for the three-d...