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A self-adaptive algorithm, based on the projection and boundary integral methods, is designed and analyzed for frictionless contact problems in linear elasticity.
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The derivative with respect to the shape or the impedance function involves solving the original Helmholtz problem and the corresponding adjoint problem, where boundary integral methods are used.
Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geometry.
The direct boundary integral method is applied to obtain the governing equation in the Laplace domain.
These mode energy values would be accurate only for heptamers made of very small nanoparticles, as the boundary integral method is valid in the static limit only.
A phase-space boundary integral method is developed for modelling stochastic high-frequency acoustic and vibrational energy transport in both single and multi-domain problems.
The boundary integral method is used where the Hele-Shaw cell approximation is valid, and the finite-element technique is employed to compute the importance of inertial effects and small particle aspect ratios.
A two-dimensional boundary integral method is developed to investigate the rheology of the multiple-emulsion globules with orderly structures up to n layers and up to mi droplets in the i-th layer in microchannels of various geometries.
A time-integration boundary-integral method is used to solve the Laplace equation for the velocity potential to calculate the shape and position of the bubble.
A boundary-integral method is presented for drop deformation between two parallel walls for non-unit viscosity ratio systems.
An inviscid boundary-integral method is modified in order to study the single-scale Rayleigh-Taylor instability for arbitrary Atwood number.
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