Electrodynamics in Exterior Calculus

2019 ◽  
pp. 299-312
Author(s):  
Helmut Günther ◽  
Volker Müller
Keyword(s):  
Exterior Calculus

Exterior calculus with d 3=0 on two-dimensional quantum plane

2001 ◽  
Vol 64 (12) ◽  
pp. 2097-2100
Author(s):  
N. Bazunova
Keyword(s):  
Quantum Plane ◽  
Two Dimensional ◽  
Exterior Calculus

scholarly journals Types of Derivatives: Concepts and Applications (II)

2017 ◽  
Vol 9 (1) ◽  
pp. 50
Author(s):  
Salma A. Khalil ◽  
Mohammed A. Basheer ◽  
Tarig A. Abdelhaleem
Keyword(s):  
Differential Geometry ◽  
Fluid Mechanics ◽  
Exterior Calculus ◽  
Geometrical Formulation

The notion of differential geometry is known to have played a fundamental role in unifying aspects of the physics of particles and fields, and have completely transformed the study of classical mechanics.In this paper we applied the definitions and concepts which we defined and derived in part (I) of our paper: Types of Derivatives: Concepts and Applications to problems arising in Geometry and Fluid Mechanics using exterior calculus. We analyzed this problem, using the geometrical formulation which is global and free of coordinates.

Challenges in Blood Flow Simulation: Numerical Methods and Image Processing Tools

2013 ◽  
Author(s):  
Andrea Dziubek ◽  
Edmond Rusjan ◽  
Bill Thistleton
Keyword(s):  
Blood Flow ◽  
Numerical Methods ◽  
Flow Simulation ◽  
Ocular Blood Flow ◽  
Curved Surfaces ◽  
Vascular Tree ◽  
Discrete Exterior Calculus ◽  
Exterior Calculus ◽  
Front End ◽  
Segmentation Methods

We report on recent results in modeling ocular blood flow (some parts were presented at ARVO 2013 [1]). For this simulations we used discrete exterior calculus based numerical methods. These methods aim to preserve the main features of the original analytical equations and are very suitable for curved surfaces. We will discuss the model and present the numerical methods. We will also give an overview of existing/available segmentation methods to extract the vascular tree from given retina images and our plans how to use them as a front end to our model.

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