Immersed Finite Element Method for Eigenvalue Problems in Elasticity
From MaRDI portal
Publication:5156571
DOI10.4208/aamm.OA-2016-0189zbMath1488.65634arXiv1506.01292OpenAlexW2963596778WikidataQ128348695 ScholiaQ128348695MaRDI QIDQ5156571
Imbo Sim, Seung Woo Lee, Do Young Kwak
Publication date: 11 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.01292
Linear elasticity with initial stresses (74B10) Structured surfaces and interfaces, coexistent phases (74A50) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items
A new type of full multigrid method for the elasticity eigenvalue problem ⋮ Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids ⋮ A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem ⋮ A Shifted-Inverse Adaptive Multigrid Method for the Elastic Eigenvalue Problem ⋮ Lowest-order virtual element methods for linear elasticity problems ⋮ An efficient adaptive multigrid method for the elasticity eigenvalue problem
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A locking-free immersed finite element method for planar elasticity interface problems
- Linear and bilinear immersed finite elements for planar elasticity interface problems
- Discontinuous bubble scheme for elliptic problems with jumps in the solution
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
- Optimal convergence analysis of an immersed interface finite element method
- Finite element approximation of the elasticity spectral problem on curved domains
- Mathematical foundations of the immersed finite element method
- Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures
- New Cartesian grid methods for interface problems using the finite element formulation
- Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
- Perturbation theory for linear operators.
- Discontinuous Galerkin approximation of the Laplace eigenproblem
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations
- An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems
- ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS
- The extended/generalized finite element method: An overview of the method and its applications
- The failure of the Tacoma Bridge: A physical model
- Hybrid finite element analysis of fluid-structure systems with coupling on curved interfaces
- Guaranteed lower bounds for eigenvalues
- Stress analysis around crack tips in finite strain problems using the eXtended finite element method
- Linear Finite Element Methods for Planar Linear Elasticity
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Spectral Approximation for Compact Operators
- On spectral approximation. Part 1. The problem of convergence
- On spectral approximation. Part 2. Error estimates for the Galerkin method
- Elastic crack growth in finite elements with minimal remeshing
- A Robust Finite Element Method for Nonhomogeneous Dirichlet Problems in Domains with Curved Boundaries
- Finite element analysis of compressible and incompressible fluid-solid systems
- ARPACK Users' Guide
- Structured extended finite element methods for solids defined by implicit surfaces
- Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
- Galerkin eigenvector approximations
- An immersed finite element space and its approximation capability
- A finite element method for crack growth without remeshing
- Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
