Validation of a 2D cell-centered Finite Volume method for elliptic equations
نویسندگان
چکیده
منابع مشابه
Convergence of a Cell-centered Finite Volume Method and Application to Elliptic Equations
We study the consistency and convergence of the cell-centered Finite Volume (FV) external approximation of H 0 (Ω), where a 2D polygonal domain Ω is discretized by a mesh of convex quadrilaterals. The discrete FV derivatives are defined by using the so-called Taylor Series Expansion Scheme (TSES). By introducing the Finite Difference (FD) space associated with the FV space, and comparing the FV...
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In our talk, we propose an adaptive mesh-refining strategy for the cell-centered FVM based on some a posteriori error control for the quantity ‖∇T (u − Iuh)‖L2 . Here, uh ∈ P (T ) denotes the FVM approximation of u and I is a certain interpolation operator. As model example serves the Laplace equation with mixed boundary conditions, where our contributions extend a result of [NIC05]. Moreover, ...
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ژورنال
عنوان ژورنال: Mathematics and Computers in Simulation
سال: 2019
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2019.03.008