Time-harmonic elasticity with controllability and higher-order discretization methods

DOI10.1016/j.jcp.2008.01.054zbMath1141.74045OpenAlexW2071965592WikidataQ109285452 ScholiaQ109285452MaRDI QIDQ936658

Erkki Heikkola, Anssi Pennanen, Tuomo Rossi, Sanna Mönkölä

Publication date: 19 August 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-201210102636

zbMATH Keywords

spectral element methodfourth-order Runge-Kutta methodNavier equationmass lumping

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Classical linear elasticity (74B05) Bulk waves in solid mechanics (74J10) Finite difference methods applied to problems in solid mechanics (74S20) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (6)

On the accuracy and efficiency of transient spectral element models for seismic wave problems ⋮ An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes ⋮ SOLUTION OF TIME-PERIODIC WAVE EQUATION USING MIXED FINITE ELEMENTS AND CONTROLLABILITY TECHNIQUES ⋮ Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements ⋮ A damping preconditioner for time-harmonic wave equations in fluid and elastic material ⋮ El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics
• Controllability method for acoustic scattering with spectral elements
• Controllability methods for the computation of time-periodic solutions; application to scattering
• Improved finite element methods for elastic waves
• Domain decomposition method for harmonic wave propagation: A general presentation
• Algebraic multigrid for higher-order finite elements
• Generalized Galerkin approximations of elastic waves with absorbing boundary conditions
• Numerical solution of linear elastic problems by spectral collocation methods
• Controllability method for the Helmholtz equation with higher-order discretizations
• Studies of FE/PML for exterior problems of time-harmonic elastic waves
• Dirichlet-to-Neumann map for three-dimensional elastic waves
• An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation
• FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION
• Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
• A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element
• Elastic PMLs for resonator anchor loss simulation
• The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
• Radiation boundary conditions for acoustic and elastic wave calculations
• The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems
• The Ultra-Weak Variational Formulation for Elastic Wave Problems

This page was built for publication: Time-harmonic elasticity with controllability and higher-order discretization methods