in this paper it is shown that the use of‎ ‎uniform meshes leads to optimal convergence rates provided that‎ ‎the analytical solutions of a particular class of‎ ‎fredholm-volterra integral equations (fvies) are smooth‎.

Application of the computer simulation for solving the incompressible flow problems motivates developing efficient and accurate numerical models. The set of Inviscid Incompressible Euler equations can be applied for wide range of engineering applications. For the steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using...

The main drawback for the application of conforming Argyris FEM is labourious implementation on one hand and low convergence rates other. If no appropriate adaptive meshes are utilised, only rate caused by corner singularities (Blum Rannacher, 1980), far below approximation order smooth functions, can be achieved. fine with produces high-dimensional linear systems a long time an optimal precond...

This paper presents a new parallel mesh generation method leading to subdomains of shape well-suited Schur based domain decomposition methods such as the FETI and BDD solvers. Starting from coarse mesh, meshes are created in through hierarchical refinement morphing techniques. The proposed methodology aims at limiting occurrence known pathological situations (jagged interfaces, misplaced hetero...

We introduce a novel spectral element method based on the ultraspherical and hierarchical Poincar\'{e}-Steklov scheme for solving second-order linear partial differential equations polygonal domains with unstructured quadrilateral or triangular meshes. Properties of lead to almost banded systems, allowing be competitive in high-polynomial regime ($p > 5$). The enables precomputed solution opera...

Meshes with planar quadrilateral faces are desirable discrete surface representations for architecture. The present paper introduces new classes of planar quad meshes, which discretize principal curvature lines of surfaces in so-called isotropic 3-space. Like their Euclidean counterparts, these isotropic principal meshes meshes are visually expressing fundamental shape characteristics and they ...