NDLI: The IIM in polar coordinates and its application to electro capacitance tomography problems

Content Provider	Springer Nature Link
Author	Chen, Jinru Ruiz Álvarez, Juan Li, Zhilin
Copyright Year	2010
Abstract	In a numerical study of the electric field inside an Electro Capacitance Tomography (ECT) device and other applications, often a Poisson equation with a discontinuous coefficient needs to be solved in polar coordinates. This paper is devoted to the Immersed Interface Method (IIM) in polar coordinates and the application to the solution of the electric potential inside an ECT device. The numerical algorithm is based on a finite difference discretization on a uniform polar coordinates grid. The finite difference scheme is modified at grid points near and on the interface across which the coefficient is discontinuous so that the natural jump conditions are satisfied. The algorithm and analysis here is one step forward in applying the IIM for 3D problems in axisymmetric situations or in the spherical coordinates. Numerical examples against exact solutions and the application to ECT problems are also presented.
Ending Page	423
Page Count	19
Starting Page	405
File Format	PDF
ISSN	10171398
e-ISSN	15729265
Journal	Numerical Algorithms
Issue Number	3
Volume Number	57
Language	English
Publisher	Springer US
Publisher Date	2010-11-20
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer aided design (modeling of curves and surfaces) Immersed interface method Electro capacitance tomography Forward problem Numeric Computing Theory of Computation Mathematics Algebra Algorithms Polar coordinates Discontinuous coefficients Interface Finite difference method Finite difference methods
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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