Shape derivatives in Kondratiev spaces for conical diffraction

DOI10.1002/mma.1538zbMath1250.78021OpenAlexW2066829406MaRDI QIDQ2912304

N. Kleemann

Publication date: 14 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1538

zbMATH Keywords

corner singularitiesshape optimizationa priori estimatetransmission problemsystem of Helmholtz equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Diffraction, scattering (78A45) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (1)

A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation

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