A finite element method based on capturing operator applied to wave propagation modeling

DOI10.1016/j.cma.2011.10.006zbMath1239.74030OpenAlexW2069022795MaRDI QIDQ423526

Cid Da Silva Garcia Monteiro, Eduardo Gomes Dutra Do Carmo, Webe Joao Mansur

Publication date: 2 June 2012

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

Full work available at URL: http://hdl.handle.net/11422/8544

zbMATH Keywords

finite element methodelastodynamicsdiscontinuity-capturing operatorsstabilized methods

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear waves in solid mechanics (74J05)

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Cites Work

• A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
• Space-time finite element methods for second-order hyperbolic equations
• Discontinuity-capturing operators for elastodynamics
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Implementation and adaptivity of a space-time finite element method for structural dynamics
• The use of ADINA for analysis of mines with explosive fills
• Finite-element analysis of time-dependent phenomena.
• A general theory of finite elements. II. Applications
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