To CG or to HDG: a comparative study in 3D

DOI10.1007/s10915-015-0076-6zbMath1339.65225OpenAlexW968924973WikidataQ57923172 ScholiaQ57923172MaRDI QIDQ293107

F. Blanchet-Sadri, M. Dambrine

Publication date: 9 June 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/28889

zbMATH Keywords

preconditioningdiffusion equationdiscontinuous Galerkin methodsuperconvergenceparallel computingHelmholtz equationPoisson equationpostprocessingelliptic problemnumerical resulthybridizationhigh-order finite elementsspectral/\(hp\) elementstime-dependent parabolic problem

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

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Uses Software

• MUMPS
• RODAS
• PT-Scotch
• Nektar++

Cites Work

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