Generalized exterior boundary-value problems and optimization for the Helmholtz equation

DOI10.1007/BF00934952zbMath0465.35021OpenAlexW2042354399MaRDI QIDQ1154605

Thomas S. Angell, Ralph E. Kleinman

Publication date: 1982

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934952

zbMATH Keywords

algorithmHelmholtz equationoptimal solutionsDirichletNeumannRobinmaximal radiated poweroptimal antenna patternsoptimal surface currentsradiation problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence theories for optimal control problems involving partial differential equations (49J20) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Analysis of signal problems for dielectric media

Cites Work

• On the boundary values of the solutions of elliptic equations
• Boundary integral equations for the Helmholtz equation: The third boundary value problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item