Stabilized explicit coupling for fluid–structure interaction using Nitsche's method

Explicit Stabilized Runge-Kutta Methods

Investigating Stabilized Excavations Using Soil Nailing Method in Urban Context

There are various methods for stabilizing excavations in urban areas which one of them is the nailing method. Designing a nailing system and analyzing the performance of excavations is done by various software applications. One of these computer programs is PAXIS software which run based on the finite element method (FEM). In the present study, a numerical analysis of the performance of t...

A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems

A fully explicit, stabilized domain decomposition method for solving moderately stiff parabolic partial differential equations (PDEs) is presented. Writing the semi-discretized equations as a differential-algebraic equation (DAE) system where the interface continuity constraints between subdomains are enforced by Lagrange multipliers, the method uses the Runge–Kutta–Chebyshev projection scheme ...

A descent method for explicit computations on curves

‎It is shown that the knowledge of a surjective morphism $Xto Y$ of complex‎ ‎curves can be effectively used‎ ‎to make explicit calculations‎. ‎The method is demonstrated‎ ‎by the calculation of $j(ntau)$ (for some small $n$) in terms of $j(tau)$ for the elliptic curve ‎with period lattice $(1,tau)$‎, ‎the period matrix for the Jacobian of a family of genus-$2$ curves‎ ‎complementing the classi...

The Case for Explicit Coupling Constraints

A software element defined in one place is typically used in many places. When it is changed, all its occurrences may need to be changed too, which can severely hinder software evolution. This has led to the support of encapsulation in modern programming languages. Unfortunately, as is shown in this paper, this is not enough to express all the constraints that are needed to decouple programming...