Efficient isogeometric boundary element method for analysis of acoustic scattering from rigid bodies

Isogeometric Boundary Element Method with Hierarchical Matrices

In this work we address the complexity problem of the isogeometric Boundary Element Method by proposing a collocation scheme for practical problems in linear elasticity and the application of hierarchical matrices. For mixed boundary value problems, a block system of matrices – similar to Galerkin formulations – is constructed allowing an effective application of that matrix format. We introduc...

An Immersed Boundary Method for Rigid Bodies

We develop an immersed boundary (IB) method for modeling flows around fixed or moving rigid bodies that is suitable for a broad range of Reynolds numbers, including steady Stokes flow. The spatio-temporal discretization of the fluid equations is based on a standard staggered-grid approach. Fluid-body interaction is handled using Peskin's IB method; however, unlike existing IB approaches to such...

An ’a Priori’ Model Reduction for Isogeometric Boundary Element Method

A Regular Indirect Boundary Element Method for Thermal Analysis

A Regular Indirect Boundary Element Method for Thermal Analysis