Analysis of Fictitious Domain Approximations of Hard Scatterers

DOI10.1137/140981630zbMath1327.35075OpenAlexW2112281693MaRDI QIDQ3195249

Eddie Wadbro, Martin Berggren, Fotios Kasolis

Publication date: 22 October 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b48334f3839e4d173f81e38673d6b82f4d6168b3

zbMATH Keywords

Helmholtz equationinf-sup conditionfictitious domain methodhard scatterers

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Topological methods for optimization problems in solid mechanics (74P15) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (4)

Computing with Functions on Domains with Arbitrary Shapes ⋮ Frames and numerical approximation. II: Generalized sampling ⋮ Frame approximation with bounded coefficients ⋮ Frames and Numerical Approximation

Uses Software

• FreeFem++
• PETSc

Cites Work

• Error estimates for fictitious domain/penalty/finite element methods
• Topology optimization of an acoustic Horn
• A domain embedding method for mixed boundary value problems
• Weak Material Approximation of Holes with Traction-Free Boundaries
• Topology optimization of muffler internal partitions for improving acoustical attenuation performance
• Megapixel Topology Optimization on a Graphics Processing Unit
• New development in freefem++
• The Mathematical Theory of Finite Element Methods
• Improved Integral Formulation for Acoustic Radiation Problems
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