Browsing by Subject "Domain decomposition"
Now showing items 112 of 12

Article
Approximating the conformal maps of elongated quadrilaterals by domain decomposition
(2001)Let Q := {Ω

Article
The asymptotic behavior of conformal modules of quadrilaterals with applications to the estimation of resistance values
(1999)We consider the conformal mapping of "striplike" domains and derive a number of asymptotic results for computing the conformal modules of an associated class of quadrilaterals. These results are then used for the following ...

Article
Conditioning of pseudospectral matrices for certain domain decompositions
(1999)In this paper we examine the conditioning of the matrices resulting from certain conforming pseudospectral approximations. In particular, we consider nonconforming domain decompositions in rectangular domains and the ...

Article
Conforming spectral methods for Poisson problems in cuboidal domains
(1994)A Chebyshev collocation strategy is introduced for the subdivision of cuboids into cuboidal subdomains (elements). These elements are conforming, which means that the approximation to the solution is C0 continuous at all ...

Article
A conforming spectral technique for biharmonictype problems in rectangular domains
(1994)A conforming domain decomposition Chebyshev spectral collocation method is developed for the solution of biharmonictype problems in rectangular domains. Careful selection of the collocation points ensures that the solution ...

Article
Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping
(1999)Let Q:= {Ω

Article
A domain decomposition method for conformal mapping onto a rectangle
(1991)Let g be the function which maps conformally a rectangle R onto a simply connected domain G so that the four vertices of R are mapped respectively onto four specified points z1, z2, z3, z4 on ∂G. This paper is concerned ...

Article
An efficient direct method for fully conforming spectral collocation schemes
(1996)An efficient direct method is presented for the solution of the linear systems arising in the solution of second and fourth order problems by certain multidomain spectral collocation schemes. In it, the block structure of ...

Article
Efficient treatment of complex geometries for large eddy simulations of turbulent flows
(2004)Incompressible turbulent flow over a backward facing step at Reh=5100 is investigated by large eddy simulations (LES). The ratio of the oncoming boundary layer thickness δ to the step height h was set to 1.2. Additionally ...

Article
High performance solution of partial differential equations discretized using a chebyshev spectral collocation method
(1996)When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a ...

Article
On the theory and application of a domain decomposition method for computing conformal modules
(1994)We consider the theory and application of a domain decomposition method for computing the conformal modules of long quadrilaterals. The method has been studied already by us and also by Gaier and Hayman. Our main purpose ...

Article
Stress intensity factor computation using the method of fundamental solutions: Mixedmode problems
(2007)The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of ...