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[dAJLR] numerics for 8.2.22

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Gaspard Jankowiak 2022-02-08 21:09:01 +01:00
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numérique/dAJLR.markdown
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@ -7,23 +7,41 @@ subtitle: Curves with modulated stiffness
## Parameters: ## Parameters:
|$N$|$L$|$M$|$\mu$| |$N$|$L$|$M$|
|-| |-|
|$180$|$2\pi$|$0$|$10^{-2}$| |$180$|$2\pi$|$0$|
|-| |-|
{:.bordered.center} {:.bordered.center}
# 08.02.2022
## Results: ## Results:
|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment| |$\mu$|$c_0$|$\beta$|result|comment|
|-| |-|
|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)| |$10^{-2}$|$0$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-2.mp4)|cigar via "circle"|
|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4) |$10^{-1}$|$0$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1.mp4)|cigar via "triangle"|
|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)| |$10^{-1}$|$2.5$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=2.5.mp4)|non embedded curve (neg. curv.) at equilibrium|
|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4) |$10^{-1}$|$2.5$|$e^{-0.7\rho}$|[movie](/s/numerics/dAJLR/exponential_e=-0.7_mu=1e-1_c0=2.5.mp4)|embedded curve (neg. curv.) at equilibrium|
|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4) |$10^{-1}$|$2$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=2_clipped.mp4)|clipped, cigar at equilibrium?|
|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)| |$10^{-1}$|$3$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=3_clipped.mp4)|clipped|
|$10^{-1}$|$5$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=5_overstep.mp4)|timestep too large?|
|$10^{-1}$|$10$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=10_clipped.mp4)|clipped|
{:.bordered.center}
# 31.01.2022
## Results:
|$\mu$|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment|
|-|
|$10^{-2}$|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)|
|$10^{-2}$|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4)
|$10^{-2}$|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)|
|$10^{-2}$|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4)
|$10^{-2}$|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4)
|$10^{-2}$|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)|
|-| |-|
{:.bordered.center} {:.bordered.center}