Isogeometric analysisMoving meshR-refinementParabolic Monge–Ampere equationBurger’s equationAllen–Cahn equationCahn–Hilliard equationarticle presents a new algorithm designed to create a dynamic r-adaptive mesh within the framework of isogeometric analysis. The approach is based on the simultaneous ...
Equations 1−5 are solved with high-order compact finite-difference schemes on a Cartesian mesh, with a conventional fractional step strategy based on the general principle of projection methods [7], [8]. Since DNS of high Reynolds number flows is very often not possible due to its ...
The mesh of the block is obviously a perfect representation of the true geometry, while the mesh of the cylindrical shell appears quite poor. In fact, it only appears that way when plotted. Elements are always plotted on the screen as having straight edges (this is done for graphics performa...
We introduce an immersed WG method for the elliptic interface problems on general unfitted polygonal meshes. The discrete space consists of constant functions on the mesh edges and piecewise linear functions in the mesh elements, satisfying the interface conditions. We prove an optimal-order convergence...
S Phongthanapanich,P Dechaumphai - 《Finite Elements in Analysis & Design》 被引量: 116发表: 2004年 A self-organizing neural network approach for automatic mesh generation An automatic mesh generator, SOFT (self-organizing finite-element tessellation), based on self-organizing neural networks has...
visualizations, inverse-analysis algorithms, mesh generation, and control systems that guide laser therapy to optimally control the ablation of cancerous tissue... D Fuentes,JT Oden,KR Diller,... - 《Annals of Biomedical Engineering》 被引量: 50发表: 2009年 加载更多来源...
Numpy provides very fast tooling for mathematical operations, with a focus on vectors and matrices. Seaborn, itself based on the Matplotlib package, is a quick way to generate beautiful visualizations of your data, with many good defaults available out of the box, as well as a gallery showing...
each containing solutions for all time steps of the corresponding initial condition. If you want to compare the solution based on the first initial condition to the solution based on the second initial condition, you can only do this usingjoin data sets. Moreover, solution joining gives you a...
We propose an unfitted finite element method for numerically solving the time-harmonic Maxwell equations on a smooth domain. The embedded boundary of the domain is allowed to cut through the background mesh arbitrarily. The unfitted scheme is based on a mixed interior penalty formulation, where the...
The analysis technique is very different from the one in [17] where the classic L1 approximation on uniform time mesh was used to approximate the time-fractional derivative and the weak initial singularity of solution was ignored. The outline of the paper is as follows. In Section 2, we ...