An efficient adaptive multigrid method for the elasticity eigenvalue problem
DOI10.1007/s10543-022-00939-7zbMath1502.65259OpenAlexW4297876613MaRDI QIDQ2098783
Publication date: 22 November 2022
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-022-00939-7
finite element methodadaptive multigrid methodconvergence and optimal complexityelasticity eigenvalue problem
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Elastic materials (74B99)
Cites Work
- Unnamed Item
- Unnamed Item
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- A full multigrid method for nonlinear eigenvalue problems
- Multilevel correction adaptive finite element method for semilinear elliptic equation.
- Optimal multilevel methods for graded bisection grids
- A full multigrid method for eigenvalue problems
- A multigrid method for eigenvalue problem
- Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
- Convergence and optimal complexity of adaptive finite element eigenvalue computations
- Finite element approximation of the elasticity spectral problem on curved domains
- Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures
- Feedback and adaptive finite element solution of one-dimensional boundary value problems
- The cascadic multigrid method for elliptic problems
- The fast adaptive composite-grid method (FAC): Algorithms for advanced computers
- Eigenvalue approximation by mixed non-conforming finite element methods
- A multigrid method for eigenvalue problems based on shifted-inverse power technique
- Optimality of a standard adaptive finite element method
- Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
- Adaptive multigrid method using duality in plane elasticity
- Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations
- Lower bounds of the discretization error for piecewise polynomials
- Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations
- An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity
- Acceleration of a two-grid method for eigenvalue problems
- A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
- The Shifted-Inverse Iteration Based on the Multigrid Discretizations for Eigenvalue Problems
- A Convergent Adaptive Method for Elliptic Eigenvalue Problems
- Theory of adaptive finite element methods: An introduction
- CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
- Local Mesh Refinement Multilevel Techniques
- Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
- Iterative Methods by Space Decomposition and Subspace Correction
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Error Estimates for Adaptive Finite Element Computations
- Parallel adaptive multigrid methods in plane linear elasticity problems
- Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions
- A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
- A two-grid discretization scheme for eigenvalue problems
- A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems
- Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
- Convergence of Adaptive Finite Element Methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Convergence and Optimal Complexity of Adaptive Finite Element Methods
- An Adaptive Multigrid Method for Semilinear Elliptic Equations
- Immersed Finite Element Method for Eigenvalue Problems in Elasticity
- A Shifted-Inverse Adaptive Multigrid Method for the Elastic Eigenvalue Problem
- An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates
- Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
- A multi-level correction scheme for eigenvalue problems
- Adaptive multigrid methods for Signorini's problem in linear elasticity.
- A posteriori error control for finite element approximations of elliptic eigenvalue problems
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