WebApr 22, 2014 · An adaptive nonconforming finite element method for eigenvalue clusters of self-adjoint operators and proves optimal convergence rates (with respect to the concept of nonlinear approximation classes) for the approximation of the invariant subspace spanned by the eigenfunctions of the Eigenvalue cluster. WebApr 6, 2024 · Adaptive finite element method for the Maxwell eigenvalue problem. Daniele Boffi, Lucia Gastaldi. In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known …
FINITE ELEMENT APPROACH TO IMMERSED BOUNDARY METHOD WITH DIFFERENT ...
WebIn this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem. WebMay 5, 2024 · The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to PDEs without the need of a fundamental solution. A theoretical framework for the convergence analysis of SBFEM is proposed here. This is achieved by defining a space of semi-discrete functions … chinese industry standards
Least-squares for linear elasticity eigenvalue problem
WebJul 25, 2006 · Google Scholar 9. F. Brezzi and J. Pitkäranta, On the stabilization of finite element approximation of the Stokes equations , in Efficient Solutions of Elliptic Systems, … WebAug 30, 2024 · A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs. Moataz M. Alghamdi, Daniele Boffi, Francesca Bonizzoni. In this paper, we … WebWe present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier–Stokes equations, while the solid evolution is represented by the elasticity equations. The parallel implementation is based on the … chinese industry park