Trefftz-based dual reciprocity method for hyperbolic boundary value problems
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Publication:2952927
DOI10.1002/nme.5142zbMath1352.76063OpenAlexW2202077906MaRDI QIDQ2952927
Lucian Radu, Ionut Dragos Moldovan
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.5142
particular solutiondual reciprocity methodhybrid-Trefftz finite elementsnon-homogeneous hyperbolic differential equation
Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Development and implementation of some BEM variants - A critical review
- First kind Bessel function (J-Bessel) as radial basis function for plane dynamic analysis using dual reciprocity boundary element method
- Mixed finite element solution of time-dependent problems
- On the operator \(\Delta r^2 + \mu (\partial/\partial r) r + \lambda\)
- The method of fundamental solutions for elliptic boundary value problems
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Some studies on dual reciprocity BEM for elastodynamic analysis
- A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations
- Complete sets of Bessel and Legendre functions
- A theory of development and design of generalized integration operators for computational structural dynamics
- Elastic wave propagation in unsaturated porous media using hybrid-Trefftz stress elements
- A new particular solution strategy for hyperbolic boundary value problems using hybrid-Trefftz displacement elements
- A new fe approach for adaptive reliability assurance
- Generalized finite element analysis with T-complete boundary solution functions
- Boundary elements for non‐linear heat conduction problems
- Polynomial particular solutions for certain partial differential operators
- The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- Some comments on the use of radial basis functions in the dual reciprocity method
- The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications
- Recent developments of the Trefftz method for finite element and boundary element applications
