A non-symmetric coupling of boundary elements with the hybridizable discontinuous Galerkin method

DOI10.1016/j.camwa.2017.08.035zbMath1397.65308OpenAlexW2760755027MaRDI QIDQ1672633

Francisco-Javier Sayas, Norbert Heuer, Zhixing Fu

Publication date: 11 September 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.035

zbMATH Keywords

boundary elementscouplinghybridizable discontinuous Galerkin

Mathematics Subject Classification ID

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) Second-order elliptic equations (35J15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

The pursuit of a dream, Francisco Javier Sayas and the HDG methods ⋮ Hybrid coupling of CG and HDG discretizations based on Nitsche's method ⋮ A hybridizable discontinuous Galerkin formulation for the Euler-Maxwell plasma model ⋮ Numerical analysis \& no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968--2019)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity
• A non-symmetric coupling of the finite volume method and the boundary element method
• Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• On the coupling of boundary integral and mixed finite element methods
• High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
• On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems
• Symmetric coupling of LDG-FEM and DG-BEM
• Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes
• Is the one-equation coupling of finite and boundary element methods always stable?
• The devising of symmetric couplings of boundary element and discontinuous Galerkin methods
• Coupling of Discontinuous Galerkin Finite Element and Boundary Element Methods
• Static Condensation, Hybridization, and the Devising of the HDG Methods
• The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
• Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces
• A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
• An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A projection-based error analysis of HDG methods
• A direct coupling of local discontinuous Galerkin and boundary element methods
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• Coupling of mixed finite elements and boundary elements
• Analysis of variable-degree HDG methods for convection-diffusion equations. Part I: general nonconforming meshes
• Coupling of Raviart--Thomas and Hybridizable Discontinuous Galerkin Methods with BEM
• A note on the local approximation properties of piecewise polynomials with applications to LDG methods
• Divergence-conforming HDG methods for Stokes flows
• Analysis of a non-symmetric coupling of Interior Penalty DG and BEM
• Postprocessing schemes for some mixed finite elements
• On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries

This page was built for publication: A non-symmetric coupling of boundary elements with the hybridizable discontinuous Galerkin method