We provide an overview of current techniques and typical applications of numerical
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …

This paper describes a new parallel, scalable and robust finite element based solver for the
first-order Stokes momentum balance equations for ice flow. The solver, known as …

This article describes numerical methods that exploit fixed-point equations equivalent to the
first-order condition for Bertrand-Nash equilibrium prices in a class of differentiated product …

This paper explores the development of a scalable, nonlinear, fully-implicit stabilized
unstructured finite element (FE) capability for 2D incompressible (reduced) resistive MHD …

When relying on Newton iterations to solve nonlinear problems in the context of Reduced
Basis (RB) methods, the assembling of the RB arrays during the online stage depends on …

The computational solution of the governing balance equations for mass, momentum, heat
transfer and magnetic induction for resistive magnetohydrodynamics (MHD) systems can be …

In this paper a robust second-order method is developed for the solution of strongly convex ℓ
_1 ℓ 1-regularized problems. The main aim is to make the proposed method as inexpensive …

This paper evaluates the performance of multiphysics coupling algorithms applied to a light
water nuclear reactor core simulation. The simulation couples the k-eigenvalue form of the …

Sympiler is a domain-specific code generator that optimizes sparse matrix computations by
decoupling the symbolic analysis phase from the numerical manipulation stage in sparse …

We present an exponentially convergent semi-implicit meshless algorithm for the solution of
Navier-Stokes equations in complex domains. The algorithm discretizes partial derivatives at …