Complex-valued problems - Revision history

APirnat at 14:29, 19 July 2019

2019-07-19T14:29:30Z

← Older revision		Revision as of 14:29, 19 July 2019
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	\end{align*}		\end{align*}
	\]		\]
	where $u(x,y)$ is the solution to the problem and $\Omega = [0, 1] \times [0, 1]$ ~~denotes~~ the square domain. We will consider $f(x,y) = 2\pi^2\sin(\pi x)\sin(\pi y)$, as it makes for		where $u(x,y)$ is the solution to the problem and $\Omega = [0, 1] \times [0, 1]$ the square domain. We will consider $f(x,y) = 2\pi^2\sin(\pi x)\sin(\pi y)$, as it makes for
	a simple solution $u(x,y) = i\sin(\pi x)\sin(\pi y)$.		a simple solution $u(x,y) = i\sin(\pi x)\sin(\pi y)$.

2019-07-19T14:23:11Z

← Older revision		Revision as of 14:23, 19 July 2019
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	a simple solution $u(x,y) = i\sin(\pi x)\sin(\pi y)$.		a simple solution $u(x,y) = i\sin(\pi x)\sin(\pi y)$.

	We write the equations for our problem by directly translating the mathematical formulation above into code.		We write the equations for our problem by directly translating the mathematical formulation above into the code.

	<syntaxhighlight lang="cpp">		<syntaxhighlight lang="cpp">
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	</syntaxhighlight>		</syntaxhighlight>

	The solution $u(x,y)$ is plotted below. In our case solution ~~consist~~ only of the imaginary part, the real part is equal to zero.		The solution $u(x,y)$ is plotted below. In our case solution consists only of the imaginary part, the real part is equal to zero.

	[[File:complex_poisson_2D_real.png\|500px]]		[[File:complex_poisson_2D_real.png\|500px]]

2019-07-19T14:08:16Z

2019-07-19T14:07:36Z

← Older revision		Revision as of 14:07, 19 July 2019
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	Go back to [[Medusa#Examples\|Examples]].		Go back to [[Medusa#Examples\|Examples]].

	Our library natively supports complex numbers. To demonstrate this a ~~simple example of~~ Poisson's equation is presented below. For more complicated complex-valued problems see [[Electromagnetic scattering]] and [[Schrödinger equation]].		Our library natively supports complex numbers. To demonstrate this a tutorial for solving Poisson's equation is presented below. For more complicated complex-valued problems see [[Electromagnetic scattering]] and [[Schrödinger equation]].

	== 2D Complex Poisson's equation ==		== 2D Complex Poisson's equation ==

2019-07-19T14:04:33Z

@@ Line 1: / Line 1: @@
 Go back to [[Medusa#Examples|Examples]].
-Our library natively supports complex numbers.
+Our library natively supports complex numbers. To demonstrate this a simple example of Poisson's equation is presented below. For more complicated complex-valued problems see [[Electromagnetic scattering]] and [[Schrödinger equation]].
-TODO: Anja
+== 2D Complex Poisson's equation ==
 Go back to [[Medusa#Examples|Examples]].

2019-05-18T08:31:04Z

← Older revision		Revision as of 08:31, 18 May 2019
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			Go back to [[Medusa#Examples\|Examples]].

	Our library natively supports complex numbers.		Our library natively supports complex numbers.

	TODO: Anja		TODO: Anja

			Go back to [[Medusa#Examples\|Examples]].

2019-04-18T10:31:53Z

Jureslak moved page Complex numbers to Complex-valued problems without leaving a redirect

← Older revision	Revision as of 10:31, 18 April 2019
(No difference)

2019-03-08T20:51:41Z

← Older revision		Revision as of 20:51, 8 March 2019
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	Our library natively supports complex numbers.		Our library natively supports complex numbers.

	TODO: Anja~~, Blaž - show your examples.~~		TODO: Anja

2019-01-22T10:37:45Z

← Older revision		Revision as of 10:37, 22 January 2019
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	Our library natively supports complex numbers.		Our library natively supports complex numbers.

	TODO: Anja, Blaž		TODO: Anja, Blaž - show your examples.

2019-01-22T10:37:28Z

Created page with "Our library natively supports complex numbers. TODO: Anja, Blaž"

New page

Our library natively supports complex numbers.

TODO: Anja, Blaž