Bounds on the extremal eigenvalues of the finite element stiffness and mass matrices and their spectral condition number
From MaRDI portal
Publication:5656489
DOI10.1016/0022-460X(72)90452-XzbMath0244.73048MaRDI QIDQ5656489
Publication date: 1972
Published in: Journal of Sound and Vibration (Search for Journal in Brave)
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element methods applied to problems in solid mechanics (74S05) Additive difference equations (39A10)
Related Items
Bounds on the eigenvalue range and on the field of values of non-Hermitian and indefinite finite element matrices, Two Efficient Time-Marching Explicit Procedures Considering Spatially/Temporally-Defined Adaptive Time-Integrators, Schur preconditioning of the Stokes equations in channel-dominated domains, An efficient adaptive time-marching formulation for decoupled analysis of generalized thermo-mechanical models, A stabilized explicit approach to efficiently analyse wave propagation through coupled fluid-structure models, A novel time-marching formulation for wave propagation analysis: the adaptive hybrid explicit method, An improved adaptive formulation for explicit analyses of wave propagation models considering locally-defined self-adjustable time-integration parameters, Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics, Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm, Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations, Finite-element simulation of the shallow-water equations model on a limited-area domain, Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation As a Port-Hamiltonian System, A method for the automatic evaluation of the dynamic relaxation parameters, An analysis of some element-by-element techniques, On the condition number of high order finite element methods: influence of \(p\)-refinement and mesh distortion, An adaptive semi-explicit/explicit time marching technique for nonlinear dynamics, A novel single-step explicit time-marching procedure with improved dissipative, dispersive and stability properties, A multi-level explicit time-marching procedure for structural dynamics and wave propagation models, Bramble--Pasciak-Type Conjugate Gradient Method for Darcy's Equations, Iterative methods for the solution of the Navier equations of elasticity, An element eigenvalue theorem and its application for stable time steps, An enhanced explicit time-marching technique for wave propagation analysis considering adaptive time integrators, A model-based block-triangular preconditioner for the bidomain system in electrocardiology, Zero and negative masses in finite element vibration and transient analysis
