Numerical Mathematics and Advanced Applications - ENUMATH 2013: Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Weakly Symmetric Mixed Finite Elements for Linear Elasticity....Pages 3-18
Energy-Corrected Finite Element Methods for Scalar Elliptic Problems....Pages 19-36
Stabilized Galerkin for Linear Advection of Vector Fields....Pages 37-45
Finite Element-Boundary Element Methods for Dielectric Relaxation Spectroscopy....Pages 47-56
On the Local Mesh Size of Nitsche’s Method for Discontinuous Material Parameters....Pages 57-63
Robust Local Flux Reconstruction for Various Finite Element Methods....Pages 65-73
On the Use of Reconstruction Operators in Discontinuous Galerkin Schemes....Pages 75-83
Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations....Pages 85-93
Harmonic Complete Flux Schemes for Conservation Laws with Discontinuous Coefficients....Pages 95-103
Analysis of Space-Time DGFEM for the Solution of Nonstationary Nonlinear Convection-Diffusion Problems....Pages 105-113
Space-Time Discontinuous Galerkin Method for the Problem of Linear Elasticity....Pages 115-123
Mimetic Finite Difference Method for Shape Optimization Problems....Pages 125-132
Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimate....Pages 133-142
A Numerical Algorithm for a Fully Nonlinear PDE Involving the Jacobian Determinant....Pages 143-151
Pattern Formation for a Reaction Diffusion System with Constant and Cross Diffusion....Pages 153-161
Front Matter....Pages 163-163
Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations....Pages 165-173
Comparison of Time Discretization Schemes to Simulate the Motion of an Inextensible Beam....Pages 175-183
Multi-value Numerical Methods for Hamiltonian Systems....Pages 185-193
Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number....Pages 195-202
Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation....Pages 203-211
Front Matter....Pages 213-213
Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis....Pages 215-223
Reliable a Posteriori Error Estimation for Plane Problems in Cosserat Elasticity....Pages 225-232
Residual Based Error Estimate for Higher Order Trefftz-Like Trial Functions on Adaptively Refined Polygonal Meshes....Pages 233-241
Stopping Criteria Based on Locally Reconstructed Fluxes....Pages 243-251
An a Posteriori Error Estimator for a New Stabilized Formulation of the Brinkman Problem....Pages 253-261
New a Posteriori Error Estimator for an Augmented Mixed FEM in Linear Elasticity....Pages 263-271
Adaptive Numerical Simulation of Dynamic Contact Problems....Pages 273-281
An Adaptive Finite Element Method for the Infinity Laplacian....Pages 283-291
Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity....Pages 293-301
Front Matter....Pages 303-303
Variational Principles for Eigenvalues of Nonlinear Eigenproblems....Pages 305-313
Tensor Formats Based on Subspaces are Positively Invariant Sets for Laplacian-Like Dynamical Systems....Pages 315-323
Accurate Computations for Some Classes of Matrices....Pages 325-333
Corrected One-Site Density Matrix Renormalization Group and Alternating Minimal Energy Algorithm....Pages 335-343
Approximating the Matrix Exponential of an Advection-Diffusion Operator Using the Incomplete Orthogonalization Method....Pages 345-353
On the Convergence of Inexact Newton Methods....Pages 355-363
Front Matter....Pages 365-365
Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media....Pages 367-375
Homogenization of the One-Dimensional Wave Equation....Pages 377-385
High-Order Asymptotic-Preserving Projective Integration Schemes for Kinetic Equations....Pages 387-395
Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation....Pages 397-405
Front Matter....Pages 407-407
Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities....Pages 409-417
Front Matter....Pages 407-407
Reduced Basis Approximation of Parametrized Advection-Diffusion PDEs with High Péclet Number....Pages 419-426
Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography....Pages 427-435
Output Error Bounds for the Dirichlet-Neumann Reduced Basis Method....Pages 437-445
One-Dimensional Surrogate Models for Advection-Diffusion Problems....Pages 447-455
Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets....Pages 457-465
Front Matter....Pages 467-467
Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints....Pages 469-478
Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations....Pages 479-487
An Accelerated Value/Policy Iteration Scheme for Optimal Control Problems and Games....Pages 489-497
Inverse Problem of a Boundary Function Recovery by Observation Data for the Shallow Water Model....Pages 499-507
Determination of Extremal Points and Weighted Discrete Minimal Riesz Energy with Interior Point Methods....Pages 509-516
Front Matter....Pages 517-517
Sensitivity Estimation and Inverse Problems in Spatial Stochastic Models of Chemical Kinetics....Pages 519-527
A Bayesian Approach to Physics-Based Reconstruction of Incompressible Flows....Pages 529-536
Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations....Pages 537-545
Adaptive Polynomial Approximation by Means of Random Discrete Least Squares....Pages 547-554
Front Matter....Pages 555-555
Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods....Pages 557-572
A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity....Pages 573-581
Scalable Hybrid Parallelization Strategies for the DUNE Grid Interface....Pages 583-590
Unveiling WARIS Code, a Parallel and Multi-purpose FDM Framework....Pages 591-599
Integrating Multi-threading and Accelerators into DUNE-ISTL....Pages 601-609
FMMTL: FMM Template Library A Generalized Framework for Kernel Matrices....Pages 611-620
Front Matter....Pages 621-621
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping....Pages 623-631
An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging....Pages 633-641
A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides....Pages 643-650
Newton-Multigrid Least-Squares FEM for S-V-P Formulation of the Navier-Stokes Equations....Pages 651-659
Compressible Flows of Viscous Fluid in 3D Channel....Pages 661-666
Numerical Investigation of Network Models for Isothermal Junction Flow....Pages 667-675
Numerical Simulation of Compressible Turbulent Flows Using Modified EARSM Model....Pages 677-687
Steady Mixed Convection in a Heated Lid-Driven Square Cavity Filled with a Fluid-Saturated Porous Medium....Pages 689-697
The Influence of Boundary Conditions on the 3D Extrusion of a Viscoelastic Fluid....Pages 699-707
Numerical Simulation of Polymer Film Stretching....Pages 709-716
Numerical Modelling of Viscoelastic Fluid-Structure Interaction and Its Application for a Valveless Micropump....Pages 717-725
Numerical Investigation of Convergence Rates for the FEM Approximation of 3D-1D Coupled Problems....Pages 727-734
The Interaction of Compressible Flow and an Elastic Structure Using Discontinuous Galerkin Method....Pages 735-743
Eulerian Techniques for Fluid-Structure Interactions: Part I – Modeling and Simulation....Pages 745-753
Eulerian Techniques for Fluid-Structure Interactions: Part II – Applications....Pages 755-762
Front Matter....Pages 763-763
A Local Projection Stabilization FEM for the Linearized Stationary MHD Problem....Pages 765-774
Domain Decomposition for Computing Ferromagnetic Effects....Pages 775-783
Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive Testing....Pages 785-793
Solving a Maxwell Interface Problem by a Local L 2 Projected C 0 Finite Element Method....Pages 795-802
Back Matter....Pages 803-810