An hp-adaptive pseudospectral method for solving optimal control problems

An hp-adaptive finite element method for

An hp-adaptive finite element method for scattering problems in computational electromagnetics

✍ W. Rachowicz; A. Zdunek 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 1010 KB

## Abstract An __hp__‐adaptive finite element (FE) approach is presented for a reliable, efficient and accurate solution of 3D electromagnetic scattering problems. The radiation condition in the far field is satisfied automatically by approximation with infinite elements (IE). Near optimal discreti

Eigenvector approximate dichotomic basis

Eigenvector approximate dichotomic basis method for solving hyper-sensitive optimal control problems

✍ Anil V. Rao; Kenneth D. Mease 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 204 KB

The dichotomic basis method is further developed for solving completely hyper-sensitive Hamiltonian boundary value problems arising in optimal control. For this class of problems, the solution can be accurately approximated by concatenating an initial boundary-layer segment, an equilibrium segment,

Eigenvector approximate dichotomic basis

Eigenvector approximate dichotomic basis method for solving hyper- sensitive optimal control problems

✍ Anil V. Rao; Kenneth D. Mease 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB

The dichotomic basis method is further developed for solving completely hyper-sensitive Hamiltonian boundary value problems arising in optimal control. For this class of problems, the solution can be accurately approximated by concatenating an initial boundary-layer segment, an equilibrium segment,

An hp-adaptive strategy in a Petrov-Gale

An hp-adaptive strategy in a Petrov-Galerkin method for convection-diffusion problems

✍ Almeida, R. C. ;Silva, R. S. 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 251 KB 👁 2 views

## Abstract In this work, a stable Petrov–Galerkin formulation is combined with an __hp__‐adaptive refinement strategy. The stability engendered by this formulation allows the use of high interpolation element order in regions with steep gradients. The new __hp__‐adaptive strategy, originally propo

Finite element methods for an optimal st

Finite element methods for an optimal steady-state control problem

✍ R. A. Meric 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 382 KB 👁 1 views

An optimal steady-state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical soluti

An Optimal Stopping Rule for the v-Metho

An Optimal Stopping Rule for the v-Method for Solving Ill-Posed Problems, Using Christoffel Functions

✍ M. Hanke; H.W. Engl 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 639 KB

We design an order-optimal stopping rule for the \(\nu\)-method for solving ill-posed problems with noisy data. The construction of the \(\nu\)-method is based on a sequence of Jacobi polynomials, and the stopping rule is based on a sequence of related Christoffel functions. The motivation for our s