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Numerical Mathematics and Advanced Applications ENUMATH 2019

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Cover of 'Numerical Mathematics and Advanced Applications ENUMATH 2019'

Table of Contents

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    Book Overview
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    Chapter 1 High Order Whitney Forms on Simplices and the Question of Potentials
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    Chapter 2 The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems
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    Chapter 3 Systematisation of Systems Solving Physics Boundary Value Problems
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    Chapter 4 On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media
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    Chapter 5 Finite Difference Solutions of 2D Magnetohydrodynamic Channel Flow in a Rectangular Duct
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    Chapter 6 Applications of the PRESB Preconditioning Method for OPT-PDE Problems
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    Chapter 7 Model Order Reduction Framework for Problems with Moving Discontinuities
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    Chapter 8 Numerical Simulation of a Phase-Field Model for Reactive Transport in Porous Media
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    Chapter 9 A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations
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    Chapter 10 Iterative Coupling for Fully Dynamic Poroelasticity
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    Chapter 11 A Time-Dependent Parametrized Background Data-Weak Approach
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    Chapter 12 Comparison of the Influence of Coniferous and Deciduous Trees on Dust Concentration Emitted from Low-Lying Highway by CFD
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    Chapter 13 A Linear Domain Decomposition Method for Non-equilibrium Two-Phase Flow Models
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    Chapter 14 An Adaptive Penalty Method for Inequality Constrained Minimization Problems
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    Chapter 15 Multipreconditioning with Application to Two-Phase Incompressible Navier–Stokes Flow
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    Chapter 16 On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition
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    Chapter 17 A Comparison of Boundary Element and Spectral Collocation Approaches to the Thermally Coupled MHD Problem
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    Chapter 18 Minimal Sets of Unisolvent Weights for High Order Whitney Forms on Simplices
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    Chapter 19 Experimental Comparison of Symplectic and Non-symplectic Model Order Reduction on an Uncertainty Quantification Problem
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    Chapter 20 3D-2D Stokes-Darcy Coupling for the Modelling of Seepage with an Application to Fluid-Structure Interaction with Contact
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    Chapter 21 A Second Order Time Integration Method for the Approximation of a Parabolic 2D Monge-Ampère Equation
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    Chapter 22 Local Flux Reconstruction for a Frictionless Unilateral Contact Problem
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    Chapter 23 Study on an Adaptive Finite Element Solver for the Cahn–Hilliard Equation
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    Chapter 24 Numerical Study of the Fracture Diffusion-Dispersion Coefficient for Passive Transport in Fractured Porous Media
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    Chapter 25 Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer
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    Chapter 26 Error Bounds for Some Approximate Posterior Measures in Bayesian Inference
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    Chapter 27 High-Order Two and Three Level Schemes for Solving Fractional Powers of Elliptic Operators
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    Chapter 28 Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method
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    Chapter 29 FFT-Based Solution Schemes for the Unit Cell Problem in Periodic Homogenization of Magneto-Elastic Coupling
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    Chapter 30 Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations
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    Chapter 31 PDE-Constrained Optimization: Optimal control with L 1-Regularization, State and Control Box Constraints
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    Chapter 32 A Time-Simultaneous Multigrid Method for Parabolic Evolution Equations
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    Chapter 33 Computing Function of Large Matrices by a Preconditioned Rational Krylov Method
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    Chapter 34 On Energy Preserving High-Order Discretizations for Nonlinear Acoustics
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    Chapter 35 Hierarchical DWR Error Estimates for the Navier-Stokes Equations: h and p Enrichment
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    Chapter 36 Towards Confident Bayesian Parameter Estimation in Stochastic Chemical Kinetics
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    Chapter 37 Strategies for the Vectorized Block Conjugate Gradients Method
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    Chapter 38 The Unfitted HHO Method for the Stokes Problem on Curved Domains
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    Chapter 39 A Non-reflective Boundary Condition for LBM Based on the Assumption of Non-equilibrium Symmetry
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    Chapter 40 ALE Space-Time Discontinuous Galerkin Method for the Interaction of Compressible Flow with Linear and Nonlinear Dynamic Elasticity and Applications to Vocal Fold Vibrations
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    Chapter 41 Efficient Solvers for a Stabilized Three-Field Mixed Formulation of Poroelasticity
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    Chapter 42 Time-Dependent Two-Dimensional Fourth-Order Problems: Optimal Convergence
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    Chapter 43 Accurate Numerical Eigenstates of the Gross-Pitaevskii Equation
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    Chapter 44 Basic Machine Learning Approaches for the Acceleration of PDE Simulations and Realization in the FEAT3 Software
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    Chapter 45 Deflated Preconditioned Conjugate Gradients for Nonlinear Diffusion Image Enhancement
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    Chapter 46 Coupled Flow and Mechanics in a 3D Porous Media with Line Sources
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    Chapter 47 A Semismooth Newton Solution of the Steady-State Non-isothermal Bingham Flow with Temperature Dependent Nonlocal Parameters
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    Chapter 48 A Sequential Sensor Selection Strategy for Hyper-Parameterized Linear Bayesian Inverse Problems
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    Chapter 49 Biomechanical Surrogate Modelling Using Stabilized Vectorial Greedy Kernel Methods
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    Chapter 50 Augmented Lagrangian Method for Thin Plates with Signorini Boundaries
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    Chapter 51 A Hybrid High-Order Method for Flow Simulations in Discrete Fracture Networks
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    Chapter 52 Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems
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    Chapter 53 Stationary Flow Predictions Using Convolutional Neural Networks
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    Chapter 54 Discontinuous Galerkin Model Order Reduction of Geometrically Parametrized Stokes Equation
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    Chapter 55 An Efficient Numerical Scheme for Fully Coupled Flow and Reactive Transport in Variably Saturated Porous Media Including Dynamic Capillary Effects
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    Chapter 56 Multistage Preconditioning for Adaptive Discretization of Porous Media Two-Phase Flow
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    Chapter 57 Biorthogonal Boundary Multiwavelets
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    Chapter 58 Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling
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    Chapter 59 A New Algebraically Stabilized Method for Convection–Diffusion–Reaction Equations
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    Chapter 60 Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow
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    Chapter 61 The Master-Slave Splitting Extended to Power Flow Problems on Integrated Networks with an Unbalanced Distribution Network
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    Chapter 62 On Mesh Regularity Conditions for Simplicial Finite Elements
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    Chapter 63 Assembly of Multiscale Linear PDE Operators
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    Chapter 64 A Least-Squares Galerkin Gradient Recovery Method for Fully Nonlinear Elliptic Equations
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    Chapter 65 A Posteriori Model Error Analysis of 3D-1D Coupled PDEs
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    Chapter 66 CG Variants for General-Form Regularization with an Application to Low-Field MRI
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    Chapter 67 Data-Driven Modeling for Wave-Propagation
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    Chapter 68 Numerical Simulation of Coupled Electromagnetic and Thermal Problems in Permanent Magnet Synchronous Machines
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    Chapter 69 Parameter Robust Preconditioning for Multi-Compartmental Darcy Equations
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    Chapter 70 Scaling of the Steady-State Load Flow Equations for Multi-Carrier Energy Systems
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    Chapter 71 A Semismooth Newton Method for Regularized L q -quasinorm Sparse Optimal Control Problems
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    Chapter 72 Monotone and Second Order Consistent Scheme for the Two Dimensional Pucci Equation
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    Chapter 73 A Multi-Scale Flow Model for Studying Blood Circulation in Vascular System
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    Chapter 74 The 8T-LE Partition Applied to the Barycentric Division of a 3-D Cube
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    Chapter 75 Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction
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    Chapter 76 Empirically Driven Orthonormal Bases for Functional Data Analysis
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    Chapter 77 Uniqueness for a Second Order Gradient Flow of Elastic Networks
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    Chapter 78 A Second Order Finite Element Method with Mass Lumping for Wave Equations in H (div)
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    Chapter 79 Model Order Reduction of Combustion Processes with Complex Front Dynamics
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    Chapter 80 Modelling of the Influence of Vegetative Barrier on Particulate Matter Concentration Using OpenFOAM
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    Chapter 81 Logistic Regression for Prospectivity Modeling
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    Chapter 82 A Monge-Ampère Least-Squares Solver for the Design of a Freeform Lens
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    Chapter 83 Reduced Order Methods for Parametrized Non-linear and Time Dependent Optimal Flow Control Problems, Towards Applications in Biomedical and Environmental Sciences
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    Chapter 84 Mathematical Assessment of the Role of Three Factors Entangled in the Development of Glaucoma by Means of the Ocular Mathematical Virtual Simulator
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    Chapter 85 Well-Balanced and Asymptotic Preserving IMEX-Peer Methods
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    Chapter 86 Approximation Schemes for Viscosity Solutions of Fully Nonlinear Stochastic Partial Differential Equations
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    Chapter 87 Approximation Method with Stochastic Local Iterated Function Systems
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    Chapter 88 Optimal Control on a Model for Cervical Cancer
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    Chapter 89 Nitsche’s Master-Slave Method for Elastic Contact Problems
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    Chapter 90 The Fixed-Stress Splitting Scheme for Biot’s Equations as a Modified Richardson Iteration: Implications for Optimal Convergence
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    Chapter 91 Modeling and Simulation of Bed Dynamics in Oxyfuel Fluidized Bed Boilers
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    Chapter 92 Monotonicity Considerations for Stabilized DG Cut Cell Schemes for the Unsteady Advection Equation
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    Chapter 93 Global Random Walk Solutions for Flow and Transport in Porous Media
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    Chapter 94 On Finite Element Approximation of Aeroelastic Problems with Consideration of Laminar-Turbulence Transition
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    Chapter 95 Second-Order Time Accuracy for Coupled Lumped and Distributed Fluid Flow Problems via Operator Splitting: A Numerical Investigation
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    Chapter 96 A CSCM Approximation of Steady MHD Flow and Heat Transfer Between Parallel Plates with Hydrodynamic Slip and Convective Boundary Conditions
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    Chapter 97 Towards Scalable Automatic Exploration of Bifurcation Diagrams for Large-Scale Applications
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    Chapter 98 Generalized Monge–Ampère Equations for Freeform Optical System Design
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    Chapter 99 A Direct Projection to Low-Order Level for p-Multigrid Methods in Isogeometric Analysis
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    Chapter 100 The Concept of Prehandling as Direct Preconditioning for Poisson-Like Problems
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    Chapter 101 Modal Analysis of Elastic Vibrations of Incompressible Materials Based on a Variational Multiscale Finite Element Method
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    Chapter 102 A Learning-Based Formulation of Parametric Curve Fitting for Bioimage Analysis
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    Chapter 103 Adaptive Time Stepping Methods Within a Data Assimilation Framework Applied to Non-isothermal Flow Dynamics
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    Chapter 104 Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems
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    Chapter 105 A Variational Formulation for LTI-Systems and Model Reduction
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    Chapter 106 Numerical Solution of Traffic Flow Models
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    Chapter 107 Numerical Approximation of Fluid-Structure Interaction Problem in a Closing Channel Near the Stability Boundary
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    Chapter 108 Approximation Properties of Discrete Boundary Value Problems for Elliptic Pseudo-Differential Equations
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    Chapter 109 Mathematical and Numerical Models of Atherosclerotic Plaque Progression in Carotid Arteries
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    Chapter 110 Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations
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    Chapter 111 Some Mathematical Properties of Morphoelasticity
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    Chapter 112 Approximating Eigenvectors with Fixed-Point Arithmetic: A Step Towards Secure Spectral Clustering
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    Chapter 113 Modelling Turbulent Combustion Coupled with Conjugate Heat Transfer in OpenFOAM
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    Chapter 114 Higher Order Regularity Shifts for the p -Poisson Problem
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    Chapter 115 A Low-Rank Approach for Nonlinear Parameter-Dependent Fluid-Structure Interaction Problems
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    Chapter 116 Simulating Two-Dimensional Viscoelastic Fluid Flows by Means of the “Tensor Diffusion” Approach
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    Chapter 117 Dynamic and Weighted Stabilizations of the L-scheme Applied to a Phase-Field Model for Fracture Propagation
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    Chapter 118 Adaptive Numerical Simulation of a Phase-Field Fracture Model in Mixed Form Tested on an L-shaped Specimen with High Poisson Ratios
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    Chapter 119 Convergence Rates for Matrix P-Greedy Variants
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    Chapter 120 Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals
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    Chapter 121 Finite Element Approximation of a System Coupling Curve Evolution with Prescribed Normal Contact to a Fixed Boundary to Reaction-Diffusion on the Curve
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    Chapter 122 The Newmark Method and a Space–Time FEM for the Second–Order Wave Equation
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    Chapter 123 A Mixed Dimensional Model for the Interaction of a Well with a Poroelastic Material
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Title
Numerical Mathematics and Advanced Applications ENUMATH 2019
Published by
Springer International Publishing, January 2021
DOI 10.1007/978-3-030-55874-1
ISBNs
978-3-03-055873-4, 978-3-03-055874-1
Editors

Fred J. Vermolen, Cornelis Vuik

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