Jump Relations of Certain Hypersingular Stokes Kernels on Regular Surfaces
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Publication:5129743
DOI10.1137/19M1269804zbMath1452.31008MaRDI QIDQ5129743
Daniel J. Bodony, Alexandru Fikl
Publication date: 23 October 2020
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Theoretical approximation of solutions to integral equations (45L05)
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Cites Work
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- Quadrature by expansion: a new method for the evaluation of layer potentials
- Analysis of surface integral equations in electromagnetic scattering and radiation problems
- Jump relations of the quadruple layer potential on a regular surface in three dimensions
- Shape optimization for Stokes flow
- Boundary integral equations
- Fast multipole methods on graphics processors
- A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D
- Definitions, properties and applications of finite-part integrals
- Direct second kind boundary integral formulation for Stokes flow problems
- Symmetric weak-form integral equation method for three-dimensional fracture analysis
- A fast direct solver for boundary integral equations in two dimensions
- Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus.
- Hypersingular boundary integral equations have an additional free term
- A fast multipole method for the three-dimensional Stokes equations
- NUMERICAL STRATEGIES FOR STROKE OPTIMIZATION OF AXISYMMETRIC MICROSWIMMERS
- Shapes and Geometries
- On Stable, Complete, and Singularity-Free Boundary Integral Formulations of Exterior Stokes Flow
- The Shapes of Things
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- Hydromechanics of low-Reynolds-number flow. Part 3. Motion of a spheroidal particle in quadratic flows
- Hybrid Gauss-Trapezoidal Quadrature Rules
- HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
- Axisymmetric deformation and stability of a viscous drop in a steady electric field
- A Theorem on the Surface Traction Field in Potential Representations of Stokes Flow
- Linear integral equations
- Inverse acoustic and electromagnetic scattering theory
- A fast algorithm for particle simulations
- Interfacial dynamics for Stokes flow.
