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Everything about Gradient discretisation method
Method for numerical differential equations
In numerical mathematics, the gradient discretisation method (GDM) is a framework which contains classical and recent numerical schemes for diffusion problems of various kinds: linear or non-linear, steady-state or time-dependent. The schemes may be conforming or non-conforming, and may rely on very general polygonal or polyhedral meshes. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Gradient discretisation methodA 5-minute orientation
- Pick up a classic book: The Gradient Discretisation MethodThe most-reprinted book on the subject
- Read the landmark paper: A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methodsCited 99 times
- Go sideways: Elliptic boundary value problemA closely related topic
- Go sideways: Total variationA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods
Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes
The Gradient Discretisation Method for Linear Advection Problems
The gradient discretisation method for the Navier–Stokes problem coupled with the heat equation
A Gradient Discretisation Method for Anisotropic Reaction–Diffusion Models with Applications to the Dynamics of Brain Tumors
The gradient discretisation method for the chemical reactions of biochemical systems
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method
đź“š Books worth reading
The Gradient Discretisation MethodJérôme Droniou, Robert Eymard · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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