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A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations
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Veröffentlicht/Copyright:
1. Januar 2012
Abstract
This paper is concerned with the construction and analysis of a parallel preconditioner for a FETI-DP system of equations arising from the nonconforming Crouzeix-Raviart finite element discretization of a model elliptic problem of second order with discontinuous coefficients. We show that the condition number of the preconditioned problem is independent of the coefficient jumps, and the preconditioner is quasi optimal.
Keywords: FETI-DP method; Crouzeix-Raviart nonconforming finite element method; domain decomposition; elliptic differential equations of second order
Received: 2011-05-16
Revised: 2011-07-14
Accepted: 2011-08-27
Published Online: 2012
Published in Print: 2012
© Institute of Mathematics, NAS of Belarus
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- Weak Versions of Stochastic Adams-Bashforth and Semi-implicit Leapfrog Schemes for SDEs
- A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations
- Exponentially Convergent Functional-discrete Method for Eigenvalue Transmission Problems with a Discontinuous Flux and the Potential as a Function in the Space L_1
- A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations
- An Approximation Method Based on Matrix Formulated Algorithm for the Heat Equation with Nonlocal Boundary Conditions
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Schlagwörter für diesen Artikel
FETI-DP method;
Crouzeix-Raviart nonconforming finite element method;
domain decomposition;
elliptic differential equations of second order
Artikel in diesem Heft
- Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models
- Weak Versions of Stochastic Adams-Bashforth and Semi-implicit Leapfrog Schemes for SDEs
- A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations
- Exponentially Convergent Functional-discrete Method for Eigenvalue Transmission Problems with a Discontinuous Flux and the Potential as a Function in the Space L_1
- A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations
- An Approximation Method Based on Matrix Formulated Algorithm for the Heat Equation with Nonlocal Boundary Conditions
- Error Estimates for Approximations of American Put Option Price
