Plate capacitor problem as a benchmark case for verifying the finite element implementation

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Finite Element Thin Plate

Thin plate splines have been used successfully to model curves and surfaces. A new application is in data mining where they are used to model interaction terms. These interaction splines break the \curse of di-mensionality" by reducing the high-dimensional nonparametric regression problem to the determination of a set of interdependent surfaces. However , the determination of the corresponding ...

Implementation of a Python Version of a Scaled Boundary Finite Element Method for Plate Bending Analysis

Common finite element programs for plate bending analysis are complicated and limited by the common plate theories. Such programs are usually not user-friendly for designers to implement. Lately, Hou Man et al. from the University of New South Wales has developed a technique for unified 3D plate bending analysis using scaled boundary finite element analysis, which promises to have little restri...

Higher Order Finite Element Discretizations in a Benchmark Problem for Incompressible Flows

We present a numerical study of several nite element discretizations applied to a benchmark problem for the 2d steady state incompressible Navier{ Stokes equations deened in Schh afer and Turek (1996). The discretizations are compared with respect to the accuracy of the computed benchmark parameters. Higher order isoparametric nite element discretizations turned out to be by far most accurate. ...

Finite Element Thin Plate Splines