Complex Fourier element shape functions for analysis of 2D static and transient dynamic problems using dual reciprocity boundary element method
From MaRDI portal
Publication:1799727
DOI10.1016/j.enganabound.2018.07.012zbMath1403.74177OpenAlexW2885345815MaRDI QIDQ1799727
Publication date: 19 October 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.07.012
boundary element methoddual reciprocity methodcomplex Fourier radial basis functions2D elastostatic and transient elastodynamic problemscomplex Fourier shape functionsequispaced macroelements
Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
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Cites Work
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- A new scheme based on boundary elements method to solve linear Helmholtz and semi-linear Poisson's equations
- First kind Bessel function (J-Bessel) as radial basis function for plane dynamic analysis using dual reciprocity boundary element method
- The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation
- A new approach to free vibration analysis using boundary elements
- BEM for transient 2D elastodynamics using multiquadric functions
- The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
- Free vibration multiquadric boundary elements applied to plane elasticity
- The dual reciprocity method applied to free vibrations of 2D structures using compact supported radial basis functions
- Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions
- Transient dynamic boundary element analysis using Gaussian-based mass matrix
- Dynamic analysis of plane elasticity with new complex Fourier radial basis functions in the dual reciprocity boundary element method
- The modified dual reciprocity boundary elements method and its application for solving stochastic partial differential equations
- The time-dependent boundary element method formulation applied to dynamic analysis of Euler-Bernoulli beams: the linear \(\theta\) method
- Dynamic crack analysis in piezoelectric solids under time-harmonic loadings with a symmetric Galerkin boundary element method
- Effect of shear deformation on the buckling parameter of perforated and non-perforated plates studied using the boundary element method
- Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization
- Some studies on dual reciprocity BEM for elastodynamic analysis
- A dual reciprocity BEM approach using new Fourier radial basis functions applied to 2D elastodynamic transient analysis
- Calculation of 2D singular and near singular integrals of boundary elements method based on the complex space
- Dynamic analysis of Timoshenko beams by the boundary element method
- Boundary element method in dynamic analysis of structures with cracks
- New complex Fourier shape functions for the analysis of two-dimensional potential problems using boundary element method
- Two-dimensional elastodynamics by the time-domain boundary element method: Lagrange interpolation strategy in time integration
- Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity
- The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations
- Dual reciprocity method using compactly supported radial basis functions
- The method of fundamental solutions for non‐linear thermal explosions
- Scalar wave equation by the boundary element method: A D-BEM approach with constant time-weighting functions
- Free vibration analysis of non-axisymmetric and axisymmetric structures by the dual recoprocity BEM.
