The left ventricle (LV) pumps oxygenated blood from the lungs to the rest of the body through
systemic circulation. The efficiency of such a pumping function is dependent on blood flow …

The L 2-norm version of first-order system least squares (FOSLS) attempts to reformulate a
given system of partial differential equations so that applying a least-squares principle yields …

In this chapter, we discuss computational problems, solution methods, and their efficient
implementation. We describe different approaches to writing algorithms to solve a particular …

We investigate new PDE discretization approaches for solving variational formulations with
different types of trial and test spaces. The general mixed formulation we consider assumes …

We present a first-order system least-squares (FOSLS) method to approximate the solution
to the equations of geometrically nonlinear elasticity in two dimensions. With assumptions of …

A meshfree method based on the first-order least-squares formulation for linear elasticity is
presented. In the authors' previous work, the least-squares meshfree method has been …

In this contribution, we propose mixed least‐squares finite element formulations for
elastoplastic material behavior. The resulting two‐field formulations depending on …

Two first-order system least squares (FOSLS) methods based on L 2 norms are applied to
various boundary value problems of planar linear elasticity. Both use finite element …

Different numerical methods have been proposed for the solution of partial differential
equations (PDE). Most of them are based on a variational principle which recasts the PDE …

The performance of least-squares finite element formulations for geometrically linear and
nonlinear problems is investigated in this work. We consider different elastic material …