Download Development of an Hp-Version Finite Element Method for Computational Optimal Control - National Aeronautics and Space Administration | ePub
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It also presents the 3d version of the automatic hp-adaptivity package, how these applications have greatly driven the development of 3d hp technology.
With a focus on 1d and 2d problems, the first volume of computing with hp-adaptive finite elements prepared readers for the concepts and logic governing 3d code and implementation. Taking the next step in hp technology, volume ii frontiers: three-dimensional elliptic and maxwell problems with applications presents the theoretical foundations of the 3d hp algorithm and provides numerical.
8 may 2018 159 the p-version and the h-p version were developed, major theoretical results achieved and few large scale programs developed.
Nevertheless, during the last ten years the p-version and the h-p version was developed,.
Hermes is a c++ library for rapid development of adaptive hp-fem / hp-dg solvers.
Method, (3) the hp-version finite element method, called the spectral/hp element method. Once the com- putational domain is partitioned into a non-overlap-.
Finite element methods based on a special discontinuous galerkin formulation for hyperbolic problems. The discontinuous galerkin formulation admits high-order local approximations on domains of quite general geometry. While providing a natural framework for finite element approximations and for theoretical developments.
The p and hp versions of the finite element method allow the user to change to the development of the so-called hp version, which combines both strategies.
This article describes a methodology for the development of continuous h p - adaptive finite element approximation spaces, without constraints on the refinement.
The h-p hybrid finite element method is used in this paper for the dynamic analysis of a symmetrical on-board rotor on mobile dimensionally stable supports. The disc and the bearings are assumed to be rigid, with deformable shaft, the material is isotropic. A three-dimensional beam element is used for the discretization of the rotor.
Pdf in the classical form of the finite element method called the h version, piecewise polynomials of fixed degree p are used and the mesh size h is find.
May be exploited as coarse level solvers with multilevel preconditioners. ➡ develop (composite/agglomerated) discontinuous galerkin finite element methods.
The main components needed for an adaptive hp-version finite element algorithm are discussed: an adaptive hp-refinement strategy, effective methods for constructing conforming hp-approximations, and, efficient solvers for the large, ill-conditioned systems of linear equations.
Hp-fem is a general version of the finite element method (fem), a numerical method for solving phg: phg is a toolbox for developing parallel adaptive finite element programs.
In this paper, we will overview and summarize the development of the p and h-p version finite element method, and introduce some recent new development and our newest research results of the p and h-p version finite element method with quasi-uniform meshes in three dimensions for elliptic problems.
The purpose of this research effort is to develop a means to use, and to ultimately implement, hp-version finite elements in the numerical solution of optimal control problems. The hybrid macsyma/fortran code gencode was developed which utilized h-version finite elements to successfully approximate solutions to a wide class of optimal control problems.
In the last two decades there have been some significant advances in the development of the hp-version of finite element methods.
Interpolation and quasi-interpolation in h- and hp-version finite element spaces in: computer mathematics and its applications-advances and developments.
Magnitude fewer degrees of freedom dof than conventional h version fem's, - and demkowicz 19 developed an hp adaptive strategy that led to near optimal.
The structure of the derived estimator leads naturally to the development of both h and hp versions.
The basic approach developed in this work employs a new family of adaptive, hp-version, finite element methods based on a special discontinuous galerkin formulation for hyperbolic problems. The discontinuous galerkin formulation admits high-order local approximations on domains of quite general geometry, while providing a natural framework for finite element approximations and for theoretical developments.
The development of an hp-adaptive finite element procedure for of resonant modes for axisymmetric maxwell cavities using hp‐version edge finite elements.
An hp-version interior penalty discontinuous galerkin method (dgfem) for the numerical solution of second-order elliptic partial differential equations on general computational meshes consisting.
Finite elements in analysis and design, volume: 39, issue: 8, pages: 751 - 764 the development of an hp-adaptive finite element procedure for electromagnetic.
Analysis of the hp-version of a first order system least squares method for the helmholtz equation. (2019) bernstein–bézier based finite elements for efficient solution of short wave problems.
3 is devoted to a survey of various types of regularity theorems for elliptic problems that are used in the development of such convergence results.
In order to overcome this problem, the high order finite element method (p-fem) was proposed. In the p-version, the polynomial order is increasing and the mesh size is constant. Combining the advantages of two previously mentioned methods, the element size (h) was decreased and the polynomial order (p) was increased, simultaneously, which is called the hp-version of finite element method (hp-fem).
A fortran code has been developed which uses hp-version finite elements to approximate solutions to a particular subset of optimal control problems. In this section this subset of problems will be defined, and the equations to be solved using finite elements will be established.
We survey the advances in the p- and the h-p versions of the finite element method. An up-to-date list of references related to these methods is provided.
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