On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
نویسندگان
چکیده
منابع مشابه
On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
Following the approach introduced in [SIAM J. Sci. Comput., 35 (2013), pp. B487– B510], we consider the formulation of the problem of fluid flow in a system of fractures as a PDE constrained optimization problem, with discretization performed using suitable extended finite elements; the method allows independent meshes on each fracture, thus completely circumventing meshing problems usually rel...
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In recent papers [1, 2] the authors introduced a new method for simulating subsurface flow in a system of fractures based on a PDE-constrained optimization reformulation, removing all difficulties related to mesh generation and providing an easily parallel approach to the problem. In this paper we further improve the method removing the constraint of having on each fracture a non empty portion ...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2013
ISSN: 1064-8275,1095-7197
DOI: 10.1137/120882883