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math.NA2026
A locking free mixed FEM based on a pure pseudostress based formulation for the elasticity eigenproblem
Arbaz Khan, Felipe Lepe, Jesus Vellojin
We analyze a novel locking-free mixed formulation for the elasticity eigenvalue problem in both two and three dimensions, expressed exclusively in terms of the pseudostress tensor.…
math.NA2026
Nitsche-based FEM for the Laplace eigenvalue problem: spectral approximation and a posteriori error analysis
Arbaz Khan, David Mora, Jesus Vellojin
In this paper, we present the numerical analysis of an elliptic eigenvalue problem in which the essential boundary condition is imposed weakly by means of the Nitsche method. The r…
math.NA2026
Conforming and non-conforming virtual element methods for the biharmonic Steklov eigenvalue problem with minimum regularity
Dibyendu Adak, Daniele Boffi, Francesca Gardini +2
In this work, we analyze the conforming and -non-conforming Virtual Element Method for a fourth-order Steklov eigenvalue problem on a generally shaped, possibly nonconvex, pol…