Search Results for "topology%20optimization"

...It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how different areas of math fit together—linear algebra, analysis, topology, number theory, and more—without going deeply into every subtopic. Because it is written in LaTeX (with supporting Asymptote or other tools), readers can compile their own version, and the repository integrates diagrams, flowcharts, and supplementary files.

...NN-arbitrary polynomial chaos (NN-aPC): solving forward/inverse stochastic PDEs (sPDEs) [J. Comput. Phys.] PINN with hard constraints (hPINN): solving inverse design/topology optimization [SIAM J. Sci. Comput.] Residual-based adaptive sampling [SIAM Rev., arXiv] Gradient-enhanced PINN (gPINN) [Comput. Methods Appl. Mech. Eng.] PINN with multi-scale Fourier features [Comput. Methods Appl. Mech. Eng.]

...The only required input file is the set of coordinates defining the airfoil geometry, using the same format as XFoil, the popular vortex-panel code for airfoil analysis. Construct2D can create grids with O topology (recommended for airfoils with a blunt trailing edge) or C topology (recommended for airfoils with a sharp trailing edge). Now available in version 2.0: hyperbolic grid generation to create higher quality grids in a fraction of the time compared to elliptic grid generation. Elliptic grid generation is still available also. Smooth airfoil surface spacing is handled automatically with user-controlled clustering parameters. ...

A suite of mathematical software for 3-manifold topologists, focusing on the study of 3-manifold triangulations, normal surfaces and angle structures.

Py3DN, is an open-source solution providing innovative tools to analyze 3D data collected with the widely used commercial system Neurolucida (MBF). It allows the construction of mathematical representations of neuronal topology, visualization and a variety of morphometric analysis on the neuronal structures. Above all, it provides a flexible environment where new types of analyses can be easily set up allowing total freedom to test new hypotheses. The application was developed in Python and uses Blender (an open source program) to produce detailed 3D representations of raw and processed data. ...

pyomnet provide an object-oriented way to define the network topology. It's a good way to illustrate network in an abstract way. pyomnet could generate the NED scenario and configuration(latter) for OMNeT++ simulation tool.

...This process leads to locally inhomogeneous material properties of the manufactured components. By integrating these specific material properties of the SLM-process into a topology optimization, product developers can be supported in the design process by simulation. For this purpose, a topology optimization method is being developed which takes into account the unique material properties of parts manufactured with the SLM-process. In this homepage, the generation of a material database as well as the development of the topology optimization method is introduced and the impact on the component design is presented. ...