Volume Integral Equation Formulation for Medical Applications

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We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs. After recasting th ...

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Volume Integral Equation Formulation for Medical Applications

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Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Anomalous dissipation and other non-smooth phenomena in fluids

Low-Rank Tensor Methods for High-Dimensional Problems

ALMOST EVERYWHERE NONUNIQUENESS OF INTEGRAL CURVES FOR DIVERGENCE-FREE SOBOLEV VECTOR FIELDS

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques

The application of the finite-difference time-domain (FDTD) technique to lightning studies

Conservation of Forces and Total Work at the Interface Using the Internodes Method

Analytic modelling of passive microfluidic mixers

Spectral Coarse Spaces for the Substructured Parallel Schwarz Method

Fast global spectral methods for three-dimensional partial differential equations

An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations

Efficient algorithms for wave problems

Dynamics of optical forces and torques in plasmonic systems: a surface integral equation

Novel corrector problems with exponential decay of the resonance error for numerical homogenization

Bridging scales in wear modeling with volume integral methods for elastic-plastic contact

Normalized Gaussian path integrals

The OFFBEAT multi-dimensional fuel behavior solver

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves