Towards accuracy and scalability: Combining Isogeometric Analysis with deflation to obtain scalable convergence for the Helmholtz equation

Finding fast yet accurate numerical solutions to the Helmholtz equation remains a challenging task. The pollution error (i.e. the discrepancy between the numerical and analytical wave number k) requires the mesh resolution to be kept fine enough to obtain accurate solutions. A recent study showed th...

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Veröffentlicht in:	Computer methods in applied mechanics and engineering 2021-04, Vol.377, p.113694, Article 113694
Hauptverfasser:	Dwarka, V., Tielen, R., Möller, M., Vuik, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Computing time Convergence Deflation Discretization Finite element method GMRES Helmholtz Helmholtz equations Isogeometric Analysis Linear systems Mathematical models Numerical dispersion Pollution Subspace methods Three dimensional models Two dimensional models Wavelengths
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