Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time.

DOI10.1016/S0045-7825(00)00237-1zbMath1048.74050MaRDI QIDQ5931203

Masataka Tanaka, Wen Chen

Publication date: 2001

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

zbMATH Keywords

Bartels-Stewart algorithmLyapunov matrix equationtime-stepping integrationvibration

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Cites Work

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• A new approach to free vibration analysis using boundary elements
• The dual reciprocity boundary element formulation for nonlinear diffusion problems
• A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
• From the trapezoidal rule to higher-order accurate and unconditionally stable time-integration method for structural dynamics
• Harmonic differential quadrature method and applications to analysis of structural components
• A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
• A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
• A New Approach In Applying Differential Quadrature To Static And Free Vibrational Analyses Of Beams And Plates
• Quasi-dual reciprocity boundary-element method for incompressible flow: Application to the diffusive-advective equation
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• A special stability problem for linear multistep methods

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