New locally conservative finite element methods on a rectangular mesh

DOI10.1007/s00211-012-0477-5zbMath1269.65125OpenAlexW1969943964MaRDI QIDQ1938818

Youngmok Jeon, Eun-Jae Park

Publication date: 25 February 2013

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-012-0477-5

zbMATH Keywords

error estimatesnumerical examplessecond-order elliptic equationsrectangular meshconservative finite element methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problems, A hybridized finite element method for the Stokes problem, High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws, Analysis of hybrid discontinuous Galerkin methods for linearized Navier–Stokes equations, Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations, Hybridized SUPG and upwind numerical schemes for convection dominated diffusion problems, Staggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes, A locking-free locally conservative hybridized scheme for elasticity problems, Hybrid difference methods for PDEs, A novel hybrid difference method for an elliptic equation, Hybrid spectral difference methods for an elliptic equation, Unnamed Item, A new hybrid staggered discontinuous Galerkin method on general meshes, A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS, A discontinuous skeletal method for the viscosity-dependent Stokes problem, A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems

Cites Work

• Unnamed Item
• Unnamed Item
• A multiscale cell boundary element method for elliptic problems
• Nonconforming cell boundary element methods for elliptic problems on triangular mesh
• A discontinuous \(hp\) finite element method for diffusion problems
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Analysis of a cell boundary element method
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• The embedded discontinuous Galerkin method: application to linear shell problems
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
• A cell boundary element method for elliptic problems
• A Multiscale Mortar Mixed Finite Element Method
• New displacement hybrid finite element models for solid continua