A p-robust polygonal discontinuous Galerkin method with minus one stabilization

DOI10.1142/S0218202521500597zbMath1501.65107arXiv2012.11276OpenAlexW3209582963MaRDI QIDQ5024403

Ilaria Perugia, Silvia Bertoluzza, Daniele Prada

Publication date: 31 January 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11276

zbMATH Keywords

discontinuous Galerkin methodspolygonal meshes\(p\)-optimalitynegative norm stabilization

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Stabilization of the nonconforming virtual element method ⋮ Algebraic representation of dual scalar products and stabilization of saddle point problems

Uses Software

• PETSc
• STRUMPACK

Cites Work

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