An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.
Flow Problems.- Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations.- Residual-free bubbles for a singular perturbation equation.- High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems.- High-order central WENO schemes for 1D Hamilton-Jacobi equations.- Asymptotic analysis of coupled problems for compressible flows.- On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow.- Comparison of two conservative schemes for hyperbolic interface problems.- Adaptive numerical flow simulation.- Flood modelling using mixed-hybrid finite elements.- High-order relaxation methods for incompressible Navier-Stokes equations.- New nonconforming finite elements for solving the incompressible Navier-Stokes equations.- Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm.- Genuinely multidimensional evolution Galerkin schemes for the shallow water equations.- Mixed-hybrid FEM discrete fracture network model of the fracture flow.- Numerical evaluation of FEM with application to the 1D advection-diffusion problem.- Numerical simulation of interfacial flows.- A family of finite difference schemes for the convection-diffusion equation in two dimensions.- An unstructured staggered scheme for the Navier―Stokes equations.- Electromagnetic Problems.- Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems.- Computation of Maxwell eigenvalues on curvilinear domains using hp-version Nédélec elements.- FE solution of a 3D-thermoelectrical model for metallurgical electrodes.- On the time-harmonic Maxwell equations in general domains.- FI2TD schemes for magnetic field simulations: new formulations and algorithmic improvements.- A boundary integral formulation of antenna problems suitable for nodal-based wavelet approximations.- Weighted regularization of Maxwell equations: computations in curvilinear polygons.- Perfectly matched layers in transmission lines.- The computational modelling of micromagnetic fine structures in uniaxial ferromagnets using the nonconforming domain decomposition method.- Elasticity and Structures.- Towards the convergence of 3D and shell finite elements?.- A shell model allowing folds.- A Signorini frictionless contact problem for viscoelastic materials with long-term memory.- Numerical analysis of a contact problem for elastic-visco-plastic materials with damage.- PSRI schemes for shells: a benchmark study.- Propagation of singularities on thin shells with hyperbolic regions.- An analysis of asymptotic consistency error in a parameter-dependent model problem.- Homogenized elasticity solvers for biomorphic microcellular ceramics.- Energy estimates for shell problems.- Numerical Problems in Finance.- Functional approximation and estimation for latent variable systems.- The boundary value formulation of the Asian call option.- WENO and blended BDF discretizations for option pricing problems.- A nonlinear PDE in mathematical finance.- Numerical Methods for kinetic Equations.- An adaptive numerical method for the Vlasov equation based on a multiresolution analysis.- A brief review of numerical methods for collision operators.- Numerical methods for the Vlasov equation.- On the fast evaluation of kinetic equations for driven granular flows.- Singular Free Boundary Problems.- Linear co-volume scheme for anisotropic curvature driven motions.- Consistency of a large time-step scheme for mean curvature motion.- A scheme for the shape-from-shading model with “black shadows”.- A Cahn-Hilliard equation with non-homogeneous mobility and its application to image processing.- Other Applications.- Inverse problem for the 3D equation of radiative transfer.- Numerical analysis of a coupled radiative-conductive heat transfer problem.- Hybrid FEM/FDM method for an inverse scattering problem.- The discrete maximum principle for stabilized finite element methods.- Mixed hybrid model of flow in combustion engines.- A subgrid projection method for relaxation of non-attainable differential inclusions.- Some remarks on fixed point and Newton techniques for solving the S 2 approximation of transient radiative transfer.- Numerical results and error estimates for the finite element solution of problems with nonlinear boundary condition on nonpolygonal domains.- A Posteriori Estimates and Adaptivity.- Multiscale adaptive processing for evolution equations.- Sobolev regularity estimation for hp-adaptive finite element methods.- Robustness in a posteriori error estimates for the Oseen equations with general boundary conditions.- A posteriori estimates for FE-solutions of variational inequalities.- Adaptive mesh refinement based on a posteriori error estimates for Stokes flow in a 2D problem.- Explicit error in a finite element method.- An adaptive p-wavelet method in a domain decomposition framework.- Adaptive FEM for eigenvalue problems.- A posteriori error estimators for a model parameter estimation problem.- An anisotropic recovery-based a posteriori error estimator.- A wavelet-based adaptive scheme for the solution of nonlinear equations.- Discontinuous Galerkin Finite Element Methods.- LDG methods for Stokes flow problems.- A p 2-continuous, p 1-discontinuous finite element method for the Mindlin-Reissner plate model.- Goal-oriented a posteriori error estimation for compressible fluid flows.- hp-DGFEM for Maxwell’s equations.- Multilevel preconditioners for the interior penalty method.- A survey of DG methods for elliptic problems.- Domain Decomposition Methods.- The Chimera method for a model problem.- Virtual control for fourth-order problems and for heterogeneous fourth-order second-order coupling.- Nitsche-type finite element method for elliptic problems with singularities.- Mortar element coupling between global scalar and local vector potentials to solve eddy current problems.- A mosaic preconditioner for a dual Schur complement.- ODE, IDE, and Related Problems.- A computational algorithm for Rjabov’s method for real inversion of Laplace transforms.- A high-order BVM approach to computation of embedded eigenvalues in Sturm-Liouville problems.- Numerical solution of boundary value problems with deviated arguments.- Theory of implicit extrapolation methods for ordinary differential equations.- Spline collocation methods for weakly singular Volterra integro-differential equations.- Numerical Linear Algebra.- Linear systems of equations arising in the (almost) FEM solution of low-frequency electromagnetic problems.- A preconditioned Krylov subspace solver for a saddle-point model of a single-phase induction machine.- Application of AMG to the numerical simulation of 3D ultrasonic transducers.- Bi-CGSTAB for collocation equations on distributed memory parallel architectures.- Two-level preconditioning of a discontinuous Galerkin method for radiation diffusion.- A new preconditioner for the Oseen equations.- Analysis of convergence of a restarted GMRES method augmented with eigenvectors.
