Variational formulations and \(hp\)-boundary element approximations for hypersingular integral equations for Helmholtz exterior boundary-value problems in two dimensions

DOI10.1016/0020-7225(93)90056-ZzbMath0776.76077MaRDI QIDQ1261534

K. Appert

Publication date: 3 October 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimationadaptive scheme

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Wave scattering in solid mechanics (74J20) Variational methods applied to problems in fluid mechanics (76M30) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05)

Related Items

The h‐, p‐ and hp‐versions of the BEM in elasticity: Numerical results, Plane wave basis in Galerkin BEM for bidimensional wave scattering, Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element method, Superconvergence and the use of the residual as an error estimator in the BEM. II: Collocation, numerical integration and error indicators

Cites Work

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• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element methods
• Adaptiveh-,p- andhp-versions for boundary integral element methods
• On the Convergence of the p-Version of the Boundary Element Galerkin Method