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Titlebook: Large-Scale Scientific Computing; 11th International C Ivan Lirkov,Svetozar Margenov Conference proceedings 2018 Springer International Pub

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malignancies in childhood. This recessively inherited condition is named CMMRD for constitutional mismatch repair deficiency. The spectrum of tumours is distinct from LS. Malignant brain tumours are at least as frequent as gastrointestinal tumours, and in more than a third of cases, haematological
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Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approachential equations. Using the heat equation and the time-dependent Stokes’ equation as examples, we discuss how accurately a FOSLS finite-element formulation adheres to the underlying energy law associated with the physical system. Using regularity arguments involving the initial condition of the syst
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Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problemss. The discrete bilinear form is elliptic on the IgA space with respect to a mesh-dependent energy norm. This property together with a corresponding boundedness property, consistency and approximation results for the IgA spaces yields a priori discretization error estimates. We propose an efficient
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An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretizationm a space–time finite element discretization of the heat equation using .–adaptivity on tetrahedral meshes. The finite element discretization is based on a Galerkin–Petrov variational formulation using piecewise linear finite elements simultaneously in space and time. In this work, we focus on .–ada
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Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effectsking into account how the liquid crystal molecules behave on the interface between both fluids (anchoring effects) and the influence of the shape of the liquid crystal molecules on the dynamics of the system (stretching effects)..First, we present the PDE system to model Nematic-Isotropic mixtures,
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Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdical algorithms, overlapping subdomain methods are preferable. The domain decomposition is associated with corresponding additive representation of the problem operator. Such regionally-additive schemes are based on the general theory of additive operator-difference schemes. There are variants of de
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An Alternative Proof of a Strip Estimate for First-Order System Least-Squares for Interface Problems flow problem with incompressible flow in the subdomains. The Stokes flow problems in the subdomains are treated as first-order systems and a combination of .-conforming Raviart-Thomas and standard .-conforming elements were used for the discretization. The interface condition is built directly in t
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