4. Numerical analysis of the half-space matching method with Robin traces on a convex polygonal scatterer

DOI10.1515/9783110543612-004zbMath1455.35256OpenAlexW4205821835MaRDI QIDQ3299896

Yohanes Tjandrawidjaja, Sonia Fliss, Anne-Sophie Bonnet-Ben Dhia

Publication date: 27 July 2020

Published in: Maxwell’s Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110543612-004

zbMATH Keywords

finite element approximationHelmholtz equationconvex polygonal scatterercoupled Fourier-integral equations, Fredholm equation of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Finite element methods applied to problems in solid mechanics (74S05) 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) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Fourier integral operators applied to PDEs (35S30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

On the Half-Space Matching Method for Real Wavenumber ⋮ The half-space matching method for elastodynamic scattering problems in unbounded domains ⋮ The Complex-Scaled Half-Space Matching Method

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