6533b7d6fe1ef96bd1266e14

RESEARCH PRODUCT

A Fixed Domain Approach in Shape Optimization Problems with Neumann Boundary Conditions

Pekka NeittaanmäkiDan Tiba

subject

symbols.namesakeFictitious domain methodDirichlet boundary conditionMathematical analysissymbolsNeumann boundary conditionShape optimizationBoundary value problemMixed boundary conditionDomain (mathematical analysis)Robin boundary condition

description

Fixed domain methods have well-known advantages in the solution of variable domain problems, but are mainly applied in the case of Dirichlet boundary conditions. This paper examines a way to extend this class of methods to the more difficult case of Neumann boundary conditions.

https://doi.org/10.1007/978-1-4020-8758-5_13