Publication

Iterative methods for Stokes/Darcy coupling

Marco Discacciati
2005
Conference Papers

Abstract

We present iterative subdomain methods based on a domain decomposition approach to solve the coupled Stokes/Darcy problem using finite elements. The dependence of the convergence rate on the grid parameter h and on the physical data is discussed; some difficulties encountered when applying the algorithms are indicated together with possible improvement strategies.

Official source

https://infoscience.epfl.ch/entities/publication/10477cbf-e87a-482f-9bfb-ee647fbbc80d

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Marco Discacciati
2005
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/10477cbf-e87a-482f-9bfb-ee647fbbc80d

About this result

Related concepts (18)

Iterative method

In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones. A specific implementation with termination criteria for a given iterative method like gradient descent, hill climbing, Newton's method, or quasi-Newton methods like BFGS, is an algorithm of the iterative method.

Finite ring

In mathematics, more specifically abstract algebra, a finite ring is a ring that has a finite number of elements. Every finite field is an example of a finite ring, and the additive part of every finite ring is an example of an abelian finite group, but the concept of finite rings in their own right has a more recent history. Although rings have more structure than groups, the theory of finite rings is simpler than that of finite groups.

Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the integers mod p when p is a prime number. The order of a finite field is its number of elements, which is either a prime number or a prime power.

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