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Titlebook: Numerical Mathematics and Advanced Applications; Proceedings of ENUMA Miloslav Feistauer,Vít Dolejší,Karel Najzar Conference proceedings 20

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A Two-Level Stabilization Scheme for the Navier-Stokes Equationsies by local projections. For the Stokes system, we prove stability and analyze the arising system matrix. Furthermore, the transport equation is analyzed with respect to stability and an a-priori estimate is given.
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Numerical Mathematics and Ad­ vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci­ entific computing is permanently growing. There is an increasing number of different research areas, where numeric
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Fast Evaluation of Eddy Current Integral Operatorsored using only .(..) units of storage, where . is the number of degrees of freedom and . is the order of the interpolation. Construction and evaluation of the approximated matrix requires only .(..) operations..This paper presents joint work with Jörg Ostrowski.
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Finite Element Mesh Adjusted to Singularities Applied to Axisymmetric and Plane Flow strategy usually based on a posteriori error estimates. In our paper we suggest an alternative approach for the mesh refinement near the corners, which makes use of the above expansion. It gives very precise results in a cheap way. We give numerical results and show the pros and cons of this approach.
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Space Decomposition Preconditioners and Parallel Solversidered preconditioners are one-level and two-level Schwarz methods based on an overlapping domain decomposition, a two-level method with the coarse grid space created by aggregation and a new two-level method with interfaces in the coarse grid space. Beside the description and analysis, we discuss a
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Boundary Conditions for Hyperbolic Equations or Systemsf them, one may determine the problem to which the limit of approximate solutions (as the discretization parameters tend to 0) is the unique solution. In turn, this convergence result may suggest other ways to take into account the boundary conditions.
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Fictitious Domain Methods in Shape Optimization with Applications in Free-Boundary Problems. These constraints are given by nonhomogeneous Dirichlet boundary problems in bounded, doubly connected domains. This approach is used for the numerical realization of free-boundary problems of Bernoulli type.
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Domain Decomposition Method for a Class of Non-Linear Elliptic Equation with Arbitrary Growth NonlinA numerical algorithm to compute a numerical approximation of the weak solution is discribed and analysed. In a first step a super-solution is computed using a domain decomposition method. A numerical example is presented and commented.
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