A novel residual a posteriori error estimator for the Oseen equations achieves efficiency and reliability by including multilevel contributions in its construction. Originates from Multiscale Hybrid Mixed (MHM) method, combines residuals skeleton of first-level partition domain, along with element-wise approximations. The second-level is local infers accuracy multiscale basis computations as pa...

We present a simple method for meshing a 3D point cloud to a manifold genus-0 mesh. Our approach is based on recent methods for spherical embedding of planar graphs, where we use instead a k-nearest neighborhood graph of the point cloud. Our approach proceeds in two steps: We first embed the neighborhood graph on a sphere using an iterative procedure, minimizing the tangential Laplacian. Then w...

A method is presented for controlling element sizes on the interior of areas during surface meshing. A Delaunay background mesh is defined over which a neighborhood based interpolation scheme is used to interpolate element sizes. A brief description of natural neighbor interpolation is included and compared to linear interpolation. Two specific applications are presented that utilize the sizing...

Adaptive mesh refinement and the Börgers’ algorithm are combined to generate a body-fitted mesh which can resolve the interface with fine geometric details. Standard linear finite element method based on such body-fitted meshes is applied to the elliptic interface problem and proven to be superclose to the linear interpolation of the exact solution. Based on this superconvergence result, a maxi...

The performance of finite element computation depends strongly on the quality of the geometric mesh and the efficiency of the numerical solution of the linear systems resulting from the discretization of partial differential equation (PDE) models. It is common knowledge that mesh geometry affects not only the approximation error of the finite element solution but also the spectral properties of...

The mesh-based 3D space-charge routine in the GPT (General Particle Tracer, Pulsar Physics) code scales linearly with the number of particles in terms of CPU time and allows a million particles to be tracked on a normal PC. The crucial ingredient of the routine is a non-equidistant multigrid Poisson solver to calculate the electrostatic potential in the rest frame of the bunch. The solver has b...

To preoperatively assess the functional outcome of a total joint replacement, finite element analysis can be used for an objective evaluation of individual implant configurations. For large scale studies, where the implant configuration is varied in size, position or design, numerous finite element meshes have to be generated. To improve the planning process we propose a method that outputs a m...

The gearbox is a complex system component and its core is the gear shafting. The gear system output the power to the drive shaft with speed changing through the engine. In the actual work, because of the installing error, load distortion and shock load situation, the correct meshing condition of gears was destroyed. 3D model of transmission gear was firstly built up by using SolidWorks software...

Multi-element wings are popular in the aerospace community due to their high lift performance. Turbulent flow simulations of these configurations require very fine mesh spacings especially near the walls, thereby making use of a boundary layer mesh necessary. However, it is difficult to accurately determine the required mesh resolution a priori to the simulations. In this paper we use an anisot...