A high order mixed-FEM for diffusion problems on curved domains

DOI10.1007/s10915-018-0840-5zbMath1419.65119OpenAlexW2893959109WikidataQ129179580 ScholiaQ129179580MaRDI QIDQ2000026

Manuel Solano, Ricardo Oyarzúa, Paulo Zúñiga

Publication date: 27 June 2019

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

Full work available at URL: https://doi.org/10.1007/s10915-018-0840-5

zbMATH Keywords

mixed variational formulationdiffusion problemhigh ordercurved domain

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)

Related Items (10)

The high-order shifted boundary method and its analysis ⋮ A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow ⋮ Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow ⋮ A divergence-free finite element method for the Stokes problem with boundary correction ⋮ An unfitted HDG method for a distributed optimal control problem ⋮ A penalty-free shifted boundary method of arbitrary order ⋮ eXtended hybridizable discontinuous Galerkin (X-HDG) method for linear convection-diffusion equations on unfitted domains ⋮ An unfitted HDG method for Oseen equations ⋮ Analysis of the shifted boundary method for the Poisson problem in domains with corners ⋮ Afternote to ``Coupling at a distance: convergence analysis and a priori error estimates

Uses Software

• UMFPACK

Cites Work

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