✦ LIBER ✦

A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem

✍ Scribed by Yvon Maday; Anthony T. Patera; Jaume Peraire

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 538 KB
Volume: 328
Category: Article
ISSN: 0764-4442
DOI: 10.1016/s0764-4442(99)80279-1

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Posteriori Finite-Element Output Bound

A Posteriori Finite-Element Output Bounds for the Incompressible Navier–Stokes Equations: Application to a Natural Convection Problem

✍ L. Machiels; J. Peraire; A.T. Patera 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 278 KB

We present a new Neumann subproblem a posteriori finite-element procedure for the efficient calculation of rigorous, constant-free, sharp lower and upper bounds for linear and nonlinear functional outputs of the incompressible Navier-Stokes equations. We first formulate the bound procedure; we deriv

Asymptotic a posteriori finite element b

Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: the Helmholtz and Burgers equations

✍ Jaume Peraire; Anthony T. Patera 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 560 KB

We describe an a posteriori finite element procedure for the efficient computation of lower and upper estimators for linear-functional outputs of noncoercive linear and semilinear elliptic second-order partial differential equations. Under a relatively weak hypothesis related 10 the relat ive magn i

A posteriori bounds for linear functiona

A posteriori bounds for linear functional outputs of Crouzeix–Raviart finite element discretizations of the incompressible Stokes problem

✍ Marius Paraschivoiu; Anthony T. Patera 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 340 KB 👁 2 views

A finite element technique is presented for the efficient generation of lower and upper bounds to outputs which are linear functionals of the solutions to the incompressible Stokes equations in two space dimensions. The finite element discretization is effected by Crouzeix -Raviart elements, the dis

Box-spline–based approach to the formula

Box-spline–based approach to the formulation of numerical methods for partial differential equations

✍ Harvey Diamond; Louise Arakelian Raphael; Daniel A. Williams III 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 625 KB

A compatibility error in the formulation

A compatibility error in the formulation of a popular general purpose finite difference scheme for the solution of elliptic partial differential equations

✍ R.P. Hornby; H. Barrow 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 261 KB

Function of matrices and their applicati

Function of matrices and their application to boundary problems for a system of differential transport equations

✍ P.V. Tsoi 📂 Article 📅 1964 🏛 Elsevier Science 🌐 English ⚖ 290 KB