In this paper, we discuss the finite volume element method of P₁-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for ...

This is a preview. Log in through your library . Abstract We analyze the convergence of multigrid methods applied to finite element equations of second order with singularities caused by reentrant ...

Cascadic multigrid methods represent a class of iterative solvers that have been developed to efficiently tackle the large-scale linear systems arising from the discretisation of partial differential ...

Multilevel projection methods for first-order system least squares. On some applications of a general multigrid methodology for reformulating PDEs as well-posed minimization problems. T. Manteuffel ...

Finite element analysis (FEA) is a cornerstone of modern computational mechanics, enabling the simulation of complex physical systems by subdividing a continuum into discrete finite elements. This ...

Under the hood, multiphysics software based on the finite-element (FE) method mathematically models complex engineering and scientific problems in inductive heating, heat transfer, and ...