C. A. San Soucie, Mixed finite element methods for variably saturated subsurface flow, Dept. Comp. Appl. Math. TR96-10, Rice University, Houston, TX 77251, Apr. 1996. Home/Search Document Details and Download
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Newton-Krylov-Schwarz Methods for Richards' Equation - Jenkins, Berger, Hallberg, .. (1999) (Correct)
....method to approximate the NEWTON KRYLOV SCHWARZ METHODS 3 Newton step. These methods have been used in computational fluid dynamics for some time [5, 6, 20] This paper is one of the first to apply these methods to Richards equation. Multigrid methods have also been applied to Richards equation, [10, 28, 34, 35]. In x 2 we describe the nonlinear and linear solver issues raised by Richards equation, introduce some notation from [27] for domain decomposition, and use that notation to describe our approach to Schwarz preconditioning. In x 3 we report numerical results for the solution of a finite element ....
C. A. S. SOUCIE, Mixed Finite Element Methods for Variably Saturated Subsurface Flow, PhD thesis, Rice University, 1996.
Newton-Krylov-Schwarz Methods for Richards' Equation - Jenkins, Berger, Hallberg, .. (Correct)
....to approximate the NEWTON KRYLOV SCHWARZ METHODS 3 Newton step. These methods have been used in computational fluid dynamics for some time [5, 6, 20] This paper is one of the first to apply these methods to Richards equation. Multigrid methods have also been applied to Richards equation, [10, 28, 34, 35]. In x 2 we describe the nonlinear and linear solver issues raised by Richards equation, introduce some notation from [27] for domain decomposition, and use that notation to describe our approach to Schwarz preconditioning. In x 3 we report numerical results for the solution of a finite element ....
C. A. S. SOUCIE, Mixed Finite Element Methods for Variably Saturated Subsurface Flow, PhD thesis, Rice University, 1996.
PREQS User Guide - Soucie (1996) Self-citation (Soucie) (Correct)
....gives a brief description of some of the numerical methods used in the PREQS code. 4. 1 Discretization The discretiztion scheme employed is a cell centered finite difference scheme equivalent to the expanded mixed method of Arbogast, Wheeler and Yotov [1] and analyzed for Richards equation in [5]. We now describe the finite difference scheme employed in solving the system (1) 2) We consider a rectangular two or three dimensional domain, Omega Gamma with boundary Let ( denote the L 2( Omega Gamma inner product, scalar and vector. We will approximate the L 2 inner product ....
C. A. San Soucie, Mixed finite element methods for variably saturated subsurface flow, Dept. Comp. Appl. Math. TR96-10, Rice University, Houston, TX 77251, Apr. 1996.
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