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The standard Discontinuous Galerkin formulation of the _scalar_ Poisson equation
$$ -\Delta u = 1 $$
has terms like
$$\sum_{e \in \mathcal{E}} \int_e [v] \\{\nabla u\\} $$
which in UFL is …
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Dear Dr.Lu:
Recently, I'm having a problem with PINNs simulation and would like to ask for your advice. The problem is described as follows:
**PDE:u_xx+u_x=u_t**
**BC1:u(0,t)=0**
**BC2:u…
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In additional to stabilizing advection with something like SUPG, we may want to stabilize interior layers (primarily the phase interface) with some kind of shock capturing method.
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### Describe new/missing feature
Add downloads to Jupyter notebook and Python files for all demos:
Example:
https://docs.fenicsproject.org/dolfinx/main/python/demos/demo_mixed-poisson.html
###…
jhale updated
5 months ago
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I'm new about Julia, I have Pkg.add("ODE.jl") and Pkg.add("Cubature.jl"), also the Pkg.clone("git://github.com/ABAtanasov/GalerkinSparseGrids.jl") is successfully. But I do not know how to run the exa…
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Right now, SeisSol uses a timestep restriction of 1/(2N-1) for conv. order N.
This is not strict enough.
Dumbser, Michael, et al. "A unified framework for the construction of one-step finite volum…
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**Submitting author:** @Rombur (Bruno Turcksin)
**Repository:** https://github.com/adamantine-sim/adamantine
**Branch with paper.md** (empty if default branch): release/1.0
**Version:** 1.0
**Editor:*…
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At some point, it would be good to think critically about how to obtain a higher-order time-stepping scheme for nonlinear diffusivities as well as finding methods for testing such ideas. Currently, th…
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Hi!
I'm the lead developer over at [MethodOfLines.jl](https://github.com/SciML/MethodOfLines.jl), and it's come time for me to implement flux limiters for use when solving Hyperbolic PDEs. In try…
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Hi, really excited to see this tool! A fantastic job!
I have several questions:
1. How many persons were involved in this project to develop hpGEM? Were they Phd students or faculty? And how long di…