𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An order optimal solver for the discretized bidomain equations

✍ Scribed by Kent-Andre Mardal; Bjørn Fredrik Nielsen; Xing Cai; Aslak Tveito

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
149 KB
Volume
14
Category
Article
ISSN
1070-5325

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

An optimal order error estimate for an u
An optimal order error estimate for an upwind discretization of the Navier—Stokes equations
✍ F. Schieweck; L. Tobiska 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 611 KB

We analyze a finite-element approximation of the stationary incompressible Navier-Stokes equations in primitive variables. This approximation is based on the nonconforming P I/Po element pair of Crouzeix/Raviart and a special upwind discretization of the convective term. An optimal error estimate in

FAST ITERATIVE SOLVERS FOR THE DISCRETIZ
FAST ITERATIVE SOLVERS FOR THE DISCRETIZED INCOMPRESSIBLE NAVIER–STOKES EQUATIONS
✍ C VUIK 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 909 KB

In this paper some iterative solution methods of the GMRES type for the discretized Navier-Stokes equations are treated. The discretization combined with a pressure correction scheme leads to two different types of systems of linear equations: the momentum system and the pressure system. These syste

HIGH-ORDER-ACCURATE DISCRETIZATION STENC
HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION
✍ M. ARAD; A. YAKHOT; G. BEN-DOR 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 510 KB

The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation V2u -$u = r, (V2 is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the

An Algorithm for the Computation of Opti
An Algorithm for the Computation of Optimal Control Gains for Second Order Matrix Equations
✍ M.K. Kwak; L. Meirovitch 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 332 KB

In control of structures, the problem is ordinarily formulated in terms of second order matrix differential equations. In general, for an \(n\)-degree-of-freedom structure, design of a linear quadratic regulator requires the solution of a \(2 n \times 2 n\) matrix Ricatti equation. In the case of se

Optimal Vorticity Conditions for the Nod
Optimal Vorticity Conditions for the Node-Centred Finite-Difference Discretization of the Second-Order Vorticity–Velocity Equations
✍ P. Giannattasio; M. Napolitano 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 328 KB

for the vorticity. Furthermore, although a second-orderaccurate compact discretization [5,6] ## of such a vorticity The present paper considers the 2D vorticity-velocity Navier-Stokes equations written as a second-order system, when a nodedefinition provides satisfactory solutions for a wide rang