Quasi-optimal convergence rate of an adaptive weakly over-penalized interior penalty method

DOI10.1007/s10915-013-9765-1zbMath1307.65149OpenAlexW2072671706MaRDI QIDQ474903

Luke Owens

Publication date: 25 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10915-013-9765-1

zbMATH Keywords

discontinuous Galerkin methodadaptive algorithma posteriori error estimatorquasi-optimal convergencesecond-order elliptic boundary value problemsymmetric interior penalty methodweak over-penalization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (4)

Convergence and optimality of an adaptive modified weak Galerkin finite element method ⋮ Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors ⋮ A priori and a posteriori error analysis for semilinear problems in liquid crystals ⋮ Forty Years of the Crouzeix‐Raviart element

Uses Software

• Triangle

Cites Work

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