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352
AN ERROR ESTIMATE FOR MMOC-MFEM BASED ON CONVOLUTION FOR POROUS MEDIA FLOW
"... Abstract. A modification of the modified method of characteristics (MMOC) is introduced for solving the coupled system of partial differential equations governing miscible displacement in porous media. The pressure-velocity is ap-proximated by a mixed finite element procedure using a Raviart-Thomas ..."
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Abstract. A modification of the modified method of characteristics (MMOC) is introduced for solving the coupled system of partial differential equations governing miscible displacement in porous media. The pressure-velocity is ap-proximated by a mixed finite element procedure using a Raviart
Three Matlab implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control
- Computational Methods in Applied Mathematics
, 2005
"... Abstract — The numerical approximation of the Laplace equation with inhomo-geneous mixed boundary conditions in 2D with lowest-order Raviart-Thomas mixed finite elements is realized in three flexible and short MATLAB programs. The first, hybrid, implementation (LMmfem) assumes that the discrete func ..."
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Cited by 22 (4 self)
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degree of freedom. The third ansatz (CRmfem) utilizes the P1 nonconforming finite element method due to Crouzeix and Raviart and then postprocesses the discrete flux via a technique due to Marini. It is the aim of this pa-per to derive, document, illustrate, and validate the three MATLAB implementations
DOLFIN: Automated finite element computing
, 2009
"... We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness with efficient computation. Finite element variational forms ..."
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Cited by 57 (6 self)
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We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness with efficient computation. Finite element variational
Schwarz Methods of Neumann-Neumann Type for Three-Dimensional Elliptic Finite Element Problems
- Comm. Pure Appl. Math
, 1995
"... . Several domain decomposition methods of Neumann-Neumann type are considered for solving the large linear systems of algebraic equations that arise from discretizations of elliptic problems by finite elements. We will only consider problems in three dimensions. Several new variants of the basic alg ..."
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Cited by 105 (24 self)
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. Several domain decomposition methods of Neumann-Neumann type are considered for solving the large linear systems of algebraic equations that arise from discretizations of elliptic problems by finite elements. We will only consider problems in three dimensions. Several new variants of the basic
Finite Elements Method
, 2006
"... This document has been made available through Purdue e-Pubs, a service of the Purdue University Libraries. Please contact epubs@purdue.edu for additional information. Complete proceedings may be acquired in print and on CD-ROM directly from the Ray W. Herrick Laboratories at ..."
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This document has been made available through Purdue e-Pubs, a service of the Purdue University Libraries. Please contact epubs@purdue.edu for additional information. Complete proceedings may be acquired in print and on CD-ROM directly from the Ray W. Herrick Laboratories at
Reasoning and Finite Element Method
"... Forging process design is the crucial task in process planning of forging industry. It is based on the skills and accumulative expertise of the forging experts. Such knowledge of the experts is not easy to elicit directly. However, this knowledge should be managed and used to enhance the efficiency, ..."
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of forging process design can be learned and obtained from the previous design cases. This paper presents the integration of case based reasoning and finite element method for supporting forging process design. The previous forging process design cases are stored in case library and it will be retrieved
Moving Finite Element Method: Applications to Science and Engineering Problems
"... Abstract Problems with moving boundaries, often called Stefan problems, appear in many areas. Analytical solutions are available for certain two-phase problems in two space dimensions, this was the motivation for developing numerical algorithms. The numerical simulation of mathematical models of dy ..."
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of dynamic two-phase systems described by partial differential equations (PDE) is a difficult problem, particularly when a moving interface is involved and/or the solution develops steep moving fronts. We have developed a numerical algorithm for time dependent PDE based on the moving finite element method
LIBRARIES
, 2005
"... In order to improve the performance of higher-order Discontinuous Galerkin finite element solvers, a shock capturing procedure has been developed for hyperbolic equa-tions. The Dynamic Multiscale Viscosity method, originally presented by Oberai and Wanderer [8, 9] in a Fourier Galerkin context, is a ..."
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In order to improve the performance of higher-order Discontinuous Galerkin finite element solvers, a shock capturing procedure has been developed for hyperbolic equa-tions. The Dynamic Multiscale Viscosity method, originally presented by Oberai and Wanderer [8, 9] in a Fourier Galerkin context
Resonance Error In Multiscale Finite Element Methods
, 1997
"... . A multiscale finite element method (MFEM) [9, 7] has been introduced to capture the large scale solutions of elliptic equations with highly oscillatory coefficients. This is accomplished by constructing the multiscale base functions from the local solutions of the elliptic operator. Our previous s ..."
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. A multiscale finite element method (MFEM) [9, 7] has been introduced to capture the large scale solutions of elliptic equations with highly oscillatory coefficients. This is accomplished by constructing the multiscale base functions from the local solutions of the elliptic operator. Our previous
LIBRARIES
, 2009
"... Drop towers are used to perform mechanical tests at strain rates similar to those experienced in automobile crashes. By their nature, drop towers are configured to perform compression tests only. This project aims to design a set of fixtures and specimens to allow the machine to perform tensile test ..."
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tests. Two major design options were considered and analyzed using engineering mechanics and finite element analysis. The design selected used a double dog-bone specimen bent into a "U"-shape and impacted by a weighted force sensor with a steel tup attached to the bottom. The appropriate
Results 1 - 10
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352
