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Eigenvalue bounds for saddle point matrices on symmetric or, more generally, nonsymmetric form are derived and applied for preconditioned versions of the matrices. The preconditioners enable efficient iterative solution of the corresponding linear systems.
This paper presents a 3D finite element method for incompressible multiphase flows with capillary interfaces based on a (formally) second-order projection scheme. The discretization is on a fixed reference (Eulerian) grid with an edge-based local h-refinement. The fluid phases are identified and advected using a level set function. The reference grid is then temporarily reconnected around the interfaces...
The aim of this contribution is to propose and analyze some computational means to approximate solving mathematical problems appearing in some recent studies devoted to biological and chemical networks.
Monte Carlo applications are widely perceived as computationally intensive but naturally parallel. Therefore, they can be effectively executed using the dynamic bag-of-work model which is well suited to parallel, distributed, and grid-based architectures. This paper concentrates on providing computational infrastructure for Monte Carlo applications on such architectures. This is accomplished by analyzing...
Systems of linear algebraic equations Ax = b occur very often when large-scale mathematical models are treated. The solution of these systems is as a rule the most time-consuming part of the computational work when large-scale mathematical models are handled on computers. Therefore, it is important to be able to solve such problems efficiently. It is assumed that the systems Ax = b , which...
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