The elastostatic three-dimensional boundary element method: analytical integration for linear isoparametric triangular elements
نویسندگان
چکیده
منابع مشابه
PRECONDITIONING FOR THE p-VERSION BOUNDARY ELEMENT METHOD IN THREE DIMENSIONS WITH TRIANGULAR ELEMENTS
A preconditioning algorithm is developed in this paper for the iterative solution of the linear system of equations resulting from the p-version boundary element approximation of the three dimensional integral equation with hypersingular operators. The preconditioner is derived by first making the nodal and side basis functions locally orthogonal to the element internal bases, and then by decou...
متن کاملAn Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements
In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...
متن کاملThe mortar element method for three dimensional finite elements
We present m thts paper the application of the mortar element method m the case where fini te element methods are used in each subdornains The novelty is m the posstbility of dealing with tenahedra for thefimte element mesh Thts paper thus complètes the analysis of the mot tai element methods that allows for couphng different spectral and/or finite element methods in adjascent mbdomains in a fl...
متن کاملMaximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration
— We consider a second order real elliptic Dirichlet problem in a bounded plane smooth domain, Lu = f in fi œ Ry u — 0 on dQ. For its numerical solution we employ the finite element method with quadratic triangular isoparametric éléments combined with a numerical intégration procedure involving function values at three nodal points in each element. We prove that iffhas third order derivatives i...
متن کاملTriangular Elements in the Finite Element Method
For a plane polygonal domain Q and a corresponding (general) triangulation we define classes of functions pmix, v) which are polynomials on each triangle and which are in C^'CQ) and also belong to the Sobolev space ^""^'(n). Approximation theoretic properties are proved concerning these functions. These results are then applied to the approximate solution of arbitrary-order elliptic boundary va...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1997
ISSN: 0307-904X
DOI: 10.1016/s0307-904x(97)00098-x