Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

Häftad, Engelska, 2018

AvGabriel R. Barrenechea,Franco Brezzi,Andrea Cangiani,Emmanuil H. Georgoulis

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This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”.

Produktinformation

Utgivningsdatum2018-06-15
Mått155 x 235 x 25 mm
Vikt680 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Computational Science and Engineering
Antal sidor433
FörlagSpringer International Publishing AG
ISBN9783319824024

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Part I Introduction.- Gabriel R. Barrenechea, Franco Brezzi, Andrea Cangiani, Emmanuil H. Georgoulis: Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations.- Part II Invited Papers.- Assyr Abdulle: Numerical homogenization methods for parabolic monotone problems.- L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo: Virtual Element implementation for general elliptic equations.- Annalisa Bu_a, Eduardo M. Garau, Carlotta Giannelli, and Giancarlo Sangalli: On quasi-interpolation operators in spline spaces.- Erik Burman: Stabilised finite element methods for ill-posed problems with conditional stability.- Bernardo Cockburn: Static condensation, hybridization, and the devising of the HDG methods.- Truman Ellis, Jesse Chan, and Leszek Demkowicz: Robust DPG Methods for Transient Convection-Diffusion.- Daniele A. Di Pietro, Alexandre Ern, and Simon Lemaire: A review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods.- Ralf Hiptmair, Andrea Moiola and Ilaria Perugia: A Survey of Trefftz Methods for the Helmholtz Equation.- Paola F. Antonietti, Andrea Cangiani, Joe Collis, Zhaonan Dong, Emmanuil H. Georgoulis, Stefano Giani, and Paul Houston: Review of Discontinuous Galerkin Finite Element Methods for Partial Di_erential Equations on Complicated Domains.- Konstantin Lipnikov and Gianmarco Manzini: Discretization of mixed formulations of elliptic problems on polyhedral meshes.- Daniel Peterseim: Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors.- Chi-Wang Shu: Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods.- Christopher Harder and Frédéric Valentin: Foundations of the MHM Method.