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 Peaceman-Rachford 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 3D Poisson 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-Ampère solvers with applications to illumination optics -- A Least-Squares Method for a Monge-Ampère Equation with Non-Quadratic Cost Function Applied to Optical Design -- Solving inverse illumination problems with Liouville's equation -- Mixed and nonsmooth methods in numerical solid mechanics -- Strong vs. Weak Symmetry in Stress-Based Mixed 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 E-scheme for conservation laws -- Adaptive Filtered Schemes for first order Hamilton-Jacobi equations -- Goal-oriented a posteriori error estimates in nearly incompressible linear elasticity -- Nitsche's 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 Biot's 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 Biot's 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.