Spurious reflection of elastic waves in nonuniform finite element grids

DOI10.1016/0045-7825(78)90035-XzbMath0384.73016OpenAlexW2145692551MaRDI QIDQ1249064

Zdeněk P. Bažant

Publication date: 1978

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(78)90035-x

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (17)

Finite difference method and a spurious reflection of waves in a layer of fluid ⋮ Wave filtering through a selective perfectly matched layer in multiscale couplings with dynamically incompatible models ⋮ Reducing spurious dispersion, anisotropy and reflection in finite element analysis of time-harmonic acoustics ⋮ Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics ⋮ Coarse-graining molecular dynamics models using an extended Galerkin projection method ⋮ Absorbing Interface Conditions for the Simulation of Wave Propagation on NonUniform Meshes ⋮ ADAPTIVE FINITE ELEMENT TECHNIQUES FOR THE ACOUSTIC WAVE EQUATION ⋮ Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain ⋮ Dispersion, spurious reflections and spurious bifurcations of flexural waves ⋮ Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes ⋮ Using spectral element method for analyzing continuous beams and bridges subjected to a moving load ⋮ B-spline based finite element method in one-dimensional discontinuous elastic wave propagation ⋮ Convergence, adaptive refinement, and scaling in 1D peridynamics ⋮ Numerical solution of transient nonlinear problems ⋮ Adaptive modeling for free-surface flows ⋮ A Fourier analysis of spurious mechanisms and locking in the finite element method ⋮ Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes

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• Postprocessing of finite element transient response calculations by digital filters
• Discussion of a paper By K. K. GUPTA
• Non‐linear transient finite element analysis with convected co‐ordinates

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