Numerical Mathematics and Advanced Applications Book

	Numerical analysis of finite element methods for eddy current problems : applications to electrode simulation	3
	Space decomposition preconditioners and parallel solvers	20
	Boundary conditions for hyperbolic equations or systems	39
	Fictitious domain methods in shape optimization with applications in free-boundary problems	56
	Domain decomposition method for a class of non-linear elliptic equation with arbitrary growth nonlinearity and data measure	79
	Variants of relaxation schemes and the lattice Boltzmann model relaxation systems	89
	A time semi-implicit relaxation scheme for two-phase flows in pipelines	102
	Computational study of field scale BTEX transport and biodegradation in the subsurface	112
	A two-level stabilization scheme for the Navier-Stokes equations	123
	A posteriori error estimates for parameter identification	131
	On a phase-field model with advection	141
	Fast evaluation of eddy current integral operators	151
	Adaptive computation of reactive flows with local mesh refinement and model adaptation	159
	An alternative to the least-squares mixed finite element method for elliptic problems	169
	Limit analysis method in electrostatics	176
	Finite element mesh adjusted to singularities applied to axisymmetric and plane flow	186
	The edge stabilization method for finite elements in CFD	196
	Analysis and computation of Dendritic growth in binary alloys using a phase-field model	204
	Discontinuous Galerkin methods for Timoshenko beams	221
	Numerical algorithms for solving elliptic-parabolic problems	232
	Stochastic relaxation of variational integrals with non-attainable infima	239
	A pressure-weighted upwind scheme in unstructured finite-element grids	250
	Discontinuous Galerkin finite element method for the numerical solution of viscous compressible flows	260
	A finite volume scheme on general meshes for the steady Navier-Stokes equations in two space dimensions	269
	Existence and uniqueness of a weak solution to a stratigraphic model	278
	Combined nonconforming/mixed-hybrid finite element-finite volume scheme for degenerate parabolic problems	288
	Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes	298
	Cubature-differences method for singular integro-differential equations	308
	Nonconforming discretization techniques for overlapping domain decompositions	316
	On the use of implicit updates in minimum curvature multi-step quasi-Newton methods	326
	A boundary movement identification method for a parabolic partial differential equation	336
	On computational properties of a posteriori error estimates based upon the method of duality error majorants	346
	Efficient algorithm for local-bound-preserving remapping in ALE methods	358
	Mimetic finite difference methods for diffusion equations on unstructured triangular grid	368
	On computational glaciology : FE-simulation of ice sheet dynamics	378
	Nonreflecting boundary conditions for multiple domain wave scattering in unbounded media	391
	On the choice of the regularization parameter in the case of the approximately given noise level of data	400
	Adaptive discontinuous Galerkin finite element methods with interior penalty for the compressible Navier-Stokes equations	410
	On a novel technique for parallel unstructured mesh generation in 3D	420
	Adaptive finite element methods for turbulent flow	430
	Numerical solution of a nonlinear evolution equation describing amorphous surface growth of thin films	440
	Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems	449
	Optimal shape design of diesel intake ports with evolutionary algorithm	459
	Numerical simulation of compressible fluids with moving boundaries : an effective method with applications	471
	Discontinuous Galerkin methods for the time-harmonic Maxwell equations	483
	Mixed hp-discontinuous Galerkin finite element methods for the Stokes problem in polygons	493
	A postprocessing of Hopf bifurcation points	502
	Givens' reduction of quaternion-valued matrices to upper Hessenberg form	510
	Model of compressible flow and transport in a time-dependent domain	521
	Numerical study of convection of multi-component fluid in porous medium	531
	Multi-yield elastoplastic continuum-modeling and computations	539
	Celebrating fifty years of David M. Young's successive overrelaxation method	549
	On the relational database style parallel numerical programming	559
	A dynamical system describing evolution of the implicit surfaces in incompressible viscous liquids	569
	Discrete maximum principles in finite element modelling	580
	A posteriori error estimation in terms of linear functionals for boundary value problems of elliptic type	587
	Numerical solution of flow in backward facing step	596
	Periodicity properties of solutions to a hysteresis model in micormagnetics	605
	Mixed finite element method on polygonal and polyhedral meshes	615
	Semi-discrete schemes for Hamilton-Jacobi equations on unstructured grids	623
	Numerical simulation of dislocation dynamics	631
	Implicit FEM-FCT algorithm for compressible flows	641
	A singular limit method for the Stefan problems	651
	Higher-order split-step schemes for the generalized nonlinear Schrodinger equation	658
	Numerical methods and simulation techniques for flow with shear and pressure dependent viscosity	668
	Piecewise polynomial approximations for linear volterra integro-differential equations with nonsmooth kernels	677
	On a discontinuous Galerkin method for radiation-diffusion problems	687
	Modelling of multi-phase flows with a level-set method	698
	Numerical modeling of bypass flow	708
	A posteriori estimation of dimension reduction errors	716
	Analysis of a multi-numerics/multi-physics problem	726
	The discontinuous Galerkin method for singularly perturbed problems	736
	A finite-volume mass- and vorticity-conserving shallow-water model using penta-/hexagonal grids	746
	Application of parallel computing techniques for problems of degenerated diffusion	756
	The finite element analysis of an elliptic problem with a nonlinear Newton boundary condition	766
	Automatic goal-oriented hp-adaptivity without error estimates	775
	A compression method for the Helmholtz equation	786
	Application of a stabilized FEM to problems of aeroelasticity	796
	A numerical approach to the dynamical behavior of initiated pulses in some nonlinear diffusion equations	806
	Fully two-dimensional HLLEC Riemann solver and associated difference schemes	815
	Deflation accelerated parallel preconditioned conjugate gradient method in finite element problems	825
	Advantages of binomial checkpointing for memory-reduced adjoint calculations	834
	An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies	844
	Higher-order FEM for a system of nonlinear parabolic PDE's in 2D with a-posteriori error estimates	854