Publication

Volume Integral Equation Formulation for Medical Applications

Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis, Santiago Capdevila Cascante, Mina Bjelogrlic
2015
Conference Papers

Abstract

In recent years, there is a considerable and growing interest in developing fast integral equation methods for solving Maxwell’s equations. Volume integral equations are a versatile technique to model inhomogeneous scattering objects. Numerical tests show excellent convergence properties of the technique for strongly inhomogeneous media with high dielectric contrast.

Official source

https://infoscience.epfl.ch/entities/publication/5e474fe1-25db-492e-8d18-f991c9b495c1

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Juan Ramon Mosig, Michael Mattes, Ioannis Koufogiannis, Santiago Capdevila Cascante, Mina Bjelogrlic
2015
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/5e474fe1-25db-492e-8d18-f991c9b495c1

About this result

Related concepts (16)

Maxwell's equations

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar, etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields.

Integral

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus, the other being differentiation. Integration started as a method to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Today integration is used in a wide variety of scientific fields.

Volume integral

In mathematics (particularly multivariable calculus), a volume integral (∫∫∫) refers to an integral over a 3-dimensional domain; that is, it is a special case of multiple integrals. Volume integrals are especially important in physics for many applications, for example, to calculate flux densities, or to calculate mass from a corresponding density function.

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