Coupling Parareal with Non-Overlapping Domain Decomposition Method

Non - Overlapping Domain Decomposition

Non-overlapping Domain Decomposition Method and Nodal Finite Element Method

The non-overlapping domain decomposition method is an efficient approach for solving time harmonic scattering wave problems. It is used here to reduce large size systems solution to that of several systems of small size and to construct efficient procedures to couple finite element and boundary element methods. The lack of a satisfactory treatment of the so-called cross-points, nodes being shar...

Overlapping Domain Decomposition with Non - Matching Grids

Non-overlapping Domain Decomposition Methods

Our intention in this paper is to give a uniied investigation on a class of non-overlapping domain decomposition methods for solving second order elliptic problems in two and three dimensions. The methods under scrutiny fall into two major categories: the substructuring type methods and the Neumann-Neumann type methods. The basic framework used for analysis is the parallel subspace correction m...

Coupling of a non-overlapping domain decomposition method for a nodal Finite Element Method with a Boundary Element Method

Non-overlapping domain decomposition techniques are used both to solve the finite element equations and to couple them with a boundary element method. A suitable approach dealing with finite element nodes common to more than two subdomains, the so-called cross-points, endows the method with the following advantages. It yields a robust and efficient procedure to solve the equations resulting fro...