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The Problem of Adaptivity for hp-FEM
The hp-version of the finite element method (hp-FEM) is extremely efficient numerical method for solving partial differential equations. In comparison with low-order methods<...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Improving Conditioning of hp-FEM
We present the problem of choice of higher-order basis functions for hp-version of the finite element method (hp-FEM) with respect to the condition number of the resulting stiffness matri...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM
, and traditional low-order (piecewise-linear or quadratic) finite element methods (FEM) exhibit singular problems is the adaptive hp-version of the FEM (hp-FEM). This <...
JA - Elektronika a optoelektronika, elektrotechnika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
On hp-Finite Element Method for Singular Electro- and Magnetostatic Problems
and accurate numerical resolution. We present the basic ideas of the hp- finite element method (FEM), and describe briefly our modular object-oriented hp-FEM program package HERMES. Supe...
JA - Elektronika a optoelektronika, elektrotechnika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
On hp-Finite Element Method for Singular Electro- and Magnetostatic Problems
and accurate numerical resolution. We present the basic ideas of the hp-finite element method (FEM), and describe briefly our modular object-oriented hp-FEM program package HERMES. Super...
JE - Nejaderná energetika, spotřeba a užití energie
- 2005 •
- A
Rok uplatnění
A - Audiovizuální tvorba
hplab2D - hpFEM solver of linear elliptic problems for Matlab
n hp-FEM solver for Matlab. It solves 2D linear elliptic problems in the form -div( a grad u) + c u = f in a polygonal domain with homogeneous Dirichlet boundary conditions. Input: coefficients a, c, and f, and the hp-F...
BA - Obecná matematika
- 2009 •
- R
Rok uplatnění
R - Software
Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM
Nowadays, the best numerical method for the solution of most singular problems is the adaptive hp-version of the FEM based on spatial refinements toward the singularities combined with optimal variation of polynomi...
JA - Elektronika a optoelektronika, elektrotechnika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
hp-FEM Solver PARSYS_2D and Applications to Electrostatics
Nonlinear elliptic and parabolic problems arise in many important applications in electromagnetics, chemistry, modeling of diffusion and heat transfer processes and other fields. We present a higher-order finite element (hp...
JA - Elektronika a optoelektronika, elektrotechnika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM
Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences and lowest-order finite element methods (FEM). In this paper we show th...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Space-time adaptive hp-FEM for problems with traveling sharp fronts
The hp-FEM is an adaptive version of the Finite Element Method (FEM refinements (h-adaptivity) with varying element polynomial degrees (p-adaptivity). We present a novel space-ti...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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