An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients

DOI10.1007/s10444-020-09759-1zbMath1436.65180OpenAlexW3008038911MaRDI QIDQ1987766

Stefano Giani

Publication date: 15 April 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/29297/1/29297.pdf

zbMATH Keywords

discontinuous coefficientsadaptivitydiscontinuous Galerkin methodscomposite finite element methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (1)

Higher order composite DG approximations of Gross-Pitaevskii ground state: benchmark results and experiments

Uses Software

• CutFEM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
• Multiscale finite element algorithm of the eigenvalue problems for the elastic equations in composite materials
• Adaptive finite element heterogeneous multiscale method for homogenization problems
• \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic eigenvalue problems on complicated domains
• Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods
• Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
• Multiscale mixed/mimetic methods on corner-point grids
• A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator
• A posteriori discontinuous Galerkin error estimator for linear elasticity
• Estimation of computational homogenization error by explicit residual method
• A cut finite element method for coupled bulk-surface problems on time-dependent domains
• A second-order cut-cell method for the numerical simulation of 2D flows past obstacles
• Characteristic cut finite element methods for convection-diffusion problems on time dependent surfaces
• A high-order cut-cell method for numerical simulation of hypersonic boundary-layer instability with surface roughness
• $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
• hp –Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
• A localized orthogonal decomposition method for semi-linear elliptic problems
• CutFEM: Discretizing geometry and partial differential equations
• A Finite Element Method for Elliptic Equations on Surfaces
• A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A Cartesian cut cell method for incompressible viscous flow

This page was built for publication: An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients