A least squares finite element method with high degree element shape functions for one-dimensional Helmholtz equation
DOI10.1016/j.matcom.2006.06.013zbMath1104.65083OpenAlexW2069599080MaRDI QIDQ853217
Carlos E. Cadenas, Javier J. Rojas, Vianey Villamizar
Publication date: 15 November 2006
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2006.06.013
convergencecomparison of methodsnumerical examplesHelmholtz equationwave scatteringSturm-Liouville boundary value problemleast squares finite element methodGalerkin mixed finite element methodhigh frequency problems
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
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Cites Work
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- Time-dependent numerical method with boundary-conforming curvilinear coordinates applied to wave interactions with prototypical antennas
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- Weighted average flux method and flux limiters for the numerical simulation of shock waves in rigid porous media
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