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A boundary integral formulation for shape optimization is presented in linear elasticity problems with zoned-inhomogeneous bodies.
This contribution presents the boundary integral formulation for numerical computation of time-harmonic radar cross section for 3D targets.
We use a well-established boundary integral formulation for the problem as the foundation of our approach.
The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity.
We use a boundary integral formulation for the fluid that results in a set of nonlinear integro-differential equations for the vesicle dynamics.
The method employs a well-conditioned boundary integral formulation for the electrostatic potential and its normal derivative on the molecular surface.
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These fundamental solutions are central in analysis methods based on Green's functions for infinite domains and are required as kernels in the corresponding boundary integral formulations for size-dependent couple stress elastic materials.
We approximate scattered fields using the Müller boundary integral formulation of Maxwell's equations.
Boundary integral formulations of the heat equation involve time convolutions in addition to surface potentials.
The BEM analysis, however, still hinges on symmetric and elliptic integral operators and excludes boundary integral formulations of mixed boundary value problems as well as the FEM BEM coupling.
The proposed approach is first exposed in a detailed manner: it is based on Laplace transform in time, in vacuo eigenvector expansion with time-dependent coefficients for the structural dynamics and boundary-integral formulation for the fluid.
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