Numerical Mathematics and Advanced Applications ENUMATH 2017 2019 ed. [Kietas viršelis]

Plenary lectures.- PDE Apps for Acoustic Ducts: A Parametrized
Component-to-System Model-Order-Reduction Approach.- Sub-voxel perfusion
modeling in terms of coupled 3d-1d problem.- Iterative linearisation schemes
for doubly degenerate parabolic equations.- Mathematics and Medicine: How
mathematics, modelling and simulations can lead to better diagnosis and
treatments.- Kernel methods for large scale problems: algorithms and
applications.- Convergence of Multilevel Stationary Gaussian
Convolution.- Anisotropic weights for RBF-PU interpolation with subdomains of
variable shapes.- Radial basis function approximation method for pricing of
basket options under jump diffusion model.- Greedy Algorithms for
Matrix-Valued Kernels.- GPU Optimization of Large-Scale Eigenvalue
Solver.- Advanced discretization methods for computational wave
propagation.- On the efficiency of the PeacemanRachford ADI-dG method for
wave-type problems.- Trefftz - Discontinuous Galerkin Approach for Solving
Elastodynamic Problem.- Unfitted finite element methods: analysis and
applications.- FETI-DP preconditioners for the Virtual Element Method on
general 2D.- Modeling flow and transport in fractured media by a hybrid
finite volume-finite element method.- A cut-cell Hybrid High-Order method for
elliptic problems with curved boundaries.- A cut finite element method with
boundary value correction for the incompressible Stokes equations.- Numerical
Integration on Hyperrectangles in Isoparametric Unfitted Finite Elements.-
Advances in numerical linear algebra methods and applications to partial
differential equations.- On a generalization of Neumann series of Bessel
functions using Hessenberg matrices and matrix exponentials.- Influence of
the SIPG penalisation on the numerical properties of linear systems for
elastic wave propagation.- Function-based Algebraic Multigrid method for the
3DPoisson problem on structured meshes.- Numerical methods in biophysics.-
Mathematical modelling of phenotypic selection within solid tumours.-
Uncertainty assessment of a hybrid cell-continuum based model for wound
contraction.- Structure preserving discretizations and high order finite
elements for differential forms.- The discrete relations between fields and
potentials with high order Whitney forms.- Model Order Reduction of an
Elastic Body under Large Rigid Motion.- On surface area and length preserving
flows of closed curves on a given surface.- Derivation of higher-order terms
in FFT-based numerical homogenization.- Monge-Ampčre solvers with
applications to illumination optics.- A Least-Squares Method for a
Monge-Ampčre Equation with Non-Quadratic Cost Function Applied to Optical
Design.- Solving inverse illumination problems with Liouvilles equation.-
Mixed and nonsmooth methods in numerical solid mechanics.- Strong vs. Weak
Symmetry in Stress-BasedMixed Finite Element Methods for Linear Elasticity.-
Evolution of load-bearing structures with phase field modeling.- An
accelerated Newton method for nonlinear materials in structure mechanics and
fluid mechanics.- A posteriori error estimation, adaptivity and
approximation.- Best error localizations for piecewise polynomial
approximation of gradients, functions and functionals.- Adaptive
Discontinuous Galerkin Methods for flow in porous media.- An adaptive
Escheme for conservation laws.- Adaptive Filtered Schemes for first order
Hamilton-Jacobi equations.- Goal-oriented a posteriori error estimates in
nearly incompressible linear elasticity.- Nitsches method for the obstacle
problem of clamped Kirchhoff plates.- Noncommutative stochastic differential
equations: Analysis and simulation.- Stochastic B-series and order conditions
for exponential integrators.- What is a post-Lie algebra and why is it useful
in geometric integration.- On non-commutative stochastic
exponentials.-Innovative numerical methods and their analysis for elliptic
and partabolic PDEs.- An introduction to the gradient discretisation method.-
Quasi-optimal nonconforming methods for second-order problems on domains with
non-Lipschitz boundary.- Convergence of adaptive finite element methods with
error-dominated oscillation.- Finite element methods for parabolic problems
with time-dependent domains application to a milling simulation.-
Polyhedral methods and applications.- Numerical investigation of the
conditioning for plane wave discontinuous Galerkin methods.- The Virtual
Element Method for the transport of passive scalars in Discrete Fracture
Networks.- On the implementation of a multiscale Hybrid High-Order method.-
VEM for the Reissner-Mindlin plate based on the MITC approach: the element of
degree 2.- Recent advances in space-time Galerkin methods.- DGM for the
solution of nonlinear dynamic elasticity.- Higher order space-time elements
for a non-linear Biot model.- Iterative Coupling of Mixed and Discontinuous
Galerkin Methods for Poroelasticity.- Stability of higher-order ALE-STDGM for
nonlinear problems in time-dependent domains.- PDE Software Frameworks.-
Implementation of mixed-dimensional models for fractured porous media.- Fast
matrix-free evaluation of hybridizable discontinuous Galerkin operators.-
Numerical methods for simulating processes in porous media.- Numerical
Benchmarking for 3D Multiphase Flow: New Results for a Rising Bubble.- A
linear domain decomposition method for two-phase flow in porous media.- A
numerical method for an inverse problem arising in two-phase fluid flow
transport through a homogeneous porous medium.- A fully-implicit, iterative
scheme for the simulation of two-phase flow in porous media.- Mass lumping
for MHFEM in two phase flow problems in porous media.- Uncertainty
quantification in injection and soil characteristics for Biots
poroelasticity model.- Reactivation of Fractures in Subsurface Reservoirs - a
Numerical Approach using a Static-Dynamic Friction Model.- Model reduction
methods for simulation and (optimal) control.- POD-Based Economic Model
Predictive Control for Heat-Convection Phenomena.- Real-Time Optimization of
Thermal Ablation Cancer Treatments.- Parametric model reduction via
interpolating orthonormal bases.- A Spectral Element Reduced Basis Method in
Parametric CFD.- POD for optimal control of the Cahn-Hilliard system using
spatially adapted snapshots.- Recent advances on polyhedral discretizations.-
New strategies for the simulation of the flow in three dimensional
porofractured media.- The Virtual Element Method on Anisotropic Polygonal
Discretizations.- FEM meshes with guaranteed geometric properties.- On
Zl\amal minimum angle condition for the longest-edge $n$-section algorithm
with $n \ge 4$.- Adaptive solution of a singularly-perturbed
convection-diffusion problem using a stabilized mixed finite element method.-
Spaces of simplicial shapes.- Simlicial vertex-normal dualty with
applications to well-centered simplices.- Maximum angle condition for
n-dimensional simplicial elements.- Discretizations and solvers for
multi-physics problems.- An oscillation-free finite volume method for
poroelasticity.- Numerical investigation on the fixed-stress splitting scheme
for Biots equations: Optimality of the tuning parameter.- Numerical
simulation of biofilm formation in a microchannel.- Numerical Methods for
Biomembranes based on PL Surfaces.- Heavy metals phytoremediation: First
mathematical modelling results.- Urban heat island effect in metropolitan
areas: An optimal control perspective.- Nitsche-based finite element method
for contact with Coulomb friction.- Electrically Driven MHD Flow Between two
Parallel Slipping and Partly Conducting Infinite Plates.- Two methods for the
numerical modelling of the PM transport and deposition on the vegetation.- On
a new mixed formulation of Kirchhoff plates on curvilinear polygonal
domains.- Reduced order models for time-dependent problems.- POD-Based
Multiobjective Optimal Control of Time-Variant Heat Phenomena.- Greedy kernel
methods for accelerating implicit integrators for parametric ODEs.- Limiter
techniques for flow problems.- Third-order Limiter Functions on
Non-Equidistant Grids.- A Linearity Preserving Algebraic Flux Correction
Scheme of Upwind Type Satisfying the Discrete Maximum Principle on Arbitrary
Meshes.- New frontiers in domain decomposition methods: Optimal control,
model reduction, and heterogeneous problems.- Optimized Schwarz methods for
advection diffusion equations in bounded domains.- Optimal coarse spaces for
FETI and their approximation.- Coupling MPC and HJB for the Computation of
POD-based Feedback Laws.- Adaptive multiple shooting for nonlinear boundary
value problems.- Error analysis for finite element methods for PDEs.-
Exponential scaling and the time growth of the error of DG for
advectionreaction problems.- Maximum norm estimates for energy-corrected
finite element method.- Digital Operators, Discrete Equations and Error
Estimates.- A simple boundary approximation for the non-symmetric coupling of
the Finite Element Method and the Boundary Element Method for
parabolicelliptic interface problems.- Fluid dynamics.- Galerkin projection
and numerical integration for a stochastic investigation of the viscous
Burgers equation: An initial attempt.- Nonlinear flux approximation scheme
for Burgers equation derived from a local BVP.- A Spectral
Solenoidal-Galerkin Method for Flow Past a Circular Cylinder.- Conservative
Mimetic Cut-cell Method for Incompressible Navier-Stokes Equations.- Author
Index.