Optimal meshes and solutions for steady conservation laws and systems within a finite volume fluctuation distribution framework are obtained by least squares methods incorporating mesh movement. The problem of spurious modes is alleviated through adaptive mesh movement, the least squares minimization giving an obvious way of determining the movement of the nodes and also providing a link with e...

The Moving Finite Element method for the solution of time-dependent partial diierential equations is a numerical solution scheme which allows the automatic adaption of the nite element approximation space with time, through the use of mesh relocation (r-reenement). This paper analyses the asymptotic behaviour of the method for large times when it is applied to the solution of a class of self-ad...

Three dimensional realistic simulation are often unsteady and include moving domains. One of major challenges associated with such simulations is the robust mesh generation for the moving domain. There has been significant research and development in this specific field[1, 2, 3, 4]. We describe a method for generating conforming tetrahedral mesh to the given C continuous surfaces in R immersed ...

Moving mesh methods based on the equidistribution principle are powerful techniques for the space–time adaptive solution of evolution problems. Solving the resulting coupled system of equations, namely the original PDE and the mesh PDE, however, is challenging in parallel. We propose in this paper several Schwarz domain decomposition algorithms for this task. We then study in detail the converg...

The Moving Finite Element method for the solution of time-dependent partial dierential equations is a numerical solution scheme which allows the automatic adaption of the nite element approximation space with time, through the use of mesh relocation (r-renement). This paper analyses the asymptotic behaviour of the method for large times when it is applied to the solution of a class of self-adjo...

A kind of singularly perturbed boundary value problems is under consideration. In order to obtain its approximation, simple upwind difference discretization is applied. We use a moving mesh iterative algorithm based on equi-distributing of the arc-length function of the current computed piecewise linear solution. First, a maximum norm a posteriori error estimate on an arbitrary mesh is derived ...

There have been several recent works on developing moving mesh methods for solving phase-field equations. However, it is observed that some of these moving mesh solutions are essentially different with the solutions on very fine fixed meshes. One of the purposes of this work is to understand the reason for the differences. We carried out numerical sensitivity studies systematically in this pape...

a meshless method namely, discrete least square method (dlsm), is presented in the paper for the solution of free surface seepage problem. in this method computational domain is discredited by some nodes and then the set of simultaneous equations are built using moving least square (mls) shape functions and least square technique. the proposed method does not need any background mesh therefore ...

In this paper we analyze and extend mesh-free algorithms for three-dimensional data transfer problems for partitioned multiphysics simulations. We first provide a direct comparison between a mesh-based weighted residual method using the commonrefinement scheme and two mesh-free algorithms leveraging compactly supported radial basis functions: one using a spline interpolation and one using a mov...

The computation of wakefield induced by an ultra-short charged particle beam is one of the most computationally challenging problems in high-performance computing for accelerator. With SciDAC collaborations in computational science, a novel moving-window technique is developed for the finite element time domain (FETD) code T3P to tackle this problem through the reduction of computing needs. The...