Numerical simulation for the problem of infinite elastic foundation

DOI10.1016/S0045-7825(97)00024-8zbMath0896.73058OpenAlexW2067539772MaRDI QIDQ1376117

Weizhu Bao, Tao Wang, Houde Han

Publication date: 6 October 1998

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00024-8

zbMATH Keywords

boundary value problemdiscrete artificial boundary conditiondirect method of lineshalf-circle artificial boundary

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• Unnamed Item
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• A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method
• An open boundary condition for the computation of the steady incompressible Navier-Stokes equations
• Asymptotic Boundary Conditions and Numerical Methods for Nonlinear Elliptic Problems on Unbounded Domains
• Artificial Boundary Conditions for Incompressible Viscous Flows
• ‘Infinite domain’ elements
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• A novel boundary infinite element
• The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application
• Infinite elements
• Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders
• Conditions at the Downstream Boundary for Simulations of Viscous, Incompressible Flow
• AN ARTIFICIAL BOUNDARY CONDITION FOR TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS USING THE METHOD OF LINES
• Asymptotic Boundary Conditions for Dissipative Waves: General Theory