A coupling of local discontinuous Galerkin and natural boundary element method for exterior problems

DOI10.1007/s10915-012-9584-9zbMath1262.65172OpenAlexW2092927243MaRDI QIDQ1936305

Ju'e Yang, De-Hao Yu, Hongying Huang

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1007/s10915-012-9584-9

zbMATH Keywords

Laplace equationnatural boundary element methodcouplingexterior Dirichlet problema priori error estimatelocal discontinuous Galerkin method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

The direct coupling of local discontinuous Galerkin and natural boundary element method for nonlinear interface problem in \(\mathbb{R}^3\) ⋮ Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements ⋮ Analysis of piezoelectric plates with a hole using nature boundary integral equation and domain decomposition

Cites Work

• Unnamed Item
• Unnamed Item
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• An a priori error analysis for the coupling of local discontinuous Galerkin and boundary element methods
• On the coupling of local discontinuous Galerkin and boundary element methods for non-linear exterior transmission problems
• A direct coupling of local discontinuous Galerkin and boundary element methods
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A look at how LDG and BEM can be coupled

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