Finite Element Methods for a Composite Model in Elastodynamics

DOI10.1137/0725033zbMath0684.73034OpenAlexW2090904904MaRDI QIDQ4734848

Juan Enrique Santos, Alberto P. Calderón, Jim jun. Douglas

Publication date: 1988

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0725033

zbMATH Keywords

existencecontact surfaceelastic wavescontinuous-timeweak formelastic soliderror analyseseffect of dissipationfinite element subspacesdisplacement vector componentsdiscrete-time Galerkin proceduresBoit's low frequency dynamic equationsconvergence of optimal orderembedded porous medium saturated by a compressible viscous fluidenergy- preserving boundary conditionsisotropic composite systemmixed finite element subspacesrelative motion of Poiseuille typesolid partstandard elastic wave equation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Smoothness and regularity of solutions to PDEs (35B65) Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for problems pertaining to geophysics (86-08) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

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Mathematical analysis of a fluid—solid interaction problem ⋮ Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic \(h p\)-adaptivity ⋮ Numerical methods for a model for wave propagation in composite anisotropic media ⋮ Unnamed Item ⋮ On the solution of an inverse scattering problem in seismic while-drilling technology

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