This book covers finite element methods for several typical eigenvalues that arise from
science and engineering. Both theory and implementation are covered in depth at the …

Performing accurate numerical simulations of molten salt reactors is challenging, especially
in case of fast-spectrum designs, due to the unique physics phenomena characterizing …

A novel formulation for the linear buckling analysis of multilayered shells is presented. High-
order equivalent-single-layer shell theories based on the through-the-thickness expansion …

Accurate methods to solve the Reynolds-Averaged Navier-Stokes (RANS) equations
coupled to turbulence models are still of great interest, as this is often the only …

Over the past two decades, there has been much development in discontinuous Galerkin
methods for incompressible flows and for compressible flows with a positive Mach number …

In this paper, we give a presentation of virtual element method for the approximation of the
vibration problem of clamped Kirchhoff plate, which involves the biharmonic eigenvalue …

In this paper, the virtual element method for the approximation of Laplacian eigenvalue
problem in mixed form is studied. We show that the discrete form satisfies the hypotheses …

In this paper we present a residual-based a posteriori error estimator for hp-adaptive
discontinuous Galerkin methods for elliptic eigenvalue problems. In particular, we use as a …

In this paper, we apply discontinuous Galerkin methods to the non-selfadjoint Steklov
eigenvalue problem arising in inverse scattering. The variational formulation of the problem …

Adaptive mesh refinement is a powerful method for efficiently solving physical problems
described by partial differential equations at reduced computational cost. In this paper we …