DOI10.1051/m2an/2013103zbMath1291.65339arXiv1302.5072OpenAlexW3098446318MaRDI QIDQ5419520
Gerrit Welper, Wolfgang Dahmen, Christian Plesken
Publication date: 10 June 2014
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5072
Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases,
Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm,
Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations,
Reduced basis methods with adaptive snapshot computations,
Nonlinear Reduced DNN Models for State Estimation,
A model-data weak formulation for simultaneous estimation of state and model bias,
Multiscale stabilization for convection-dominated diffusion in heterogeneous media,
Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots,
Stable model reduction for linear variational inequalities with parameter-dependent constraints,
Projection-Based Model Order Reduction Methods for the Estimation of Vector-Valued Variables of Interest,
A Discontinuous Galerkin Reduced Basis Numerical Homogenization Method for Fluid Flow in Porous Media,
A greedy sensor selection algorithm for hyperparameterized linear Bayesian inverse problems with correlated noise models,
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations,
State Estimation—The Role of Reduced Models,
Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure,
On the stability of DPG formulations of transport equations,
Stabilized reduced basis method for parametrized advection-diffusion PDEs,
Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling,
Transformed Snapshot Interpolation with High Resolution Transforms,
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods,
Reduced Basis Methods for Uncertainty Quantification,
SUPG reduced order models for convection-dominated convection-diffusion-reaction equations,
ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics,
Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries,
A two-step model order reduction method to simulate a compressible flow over an extended rough surface,
Decay of the Kolmogorov \(N\)-width for wave problems,
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs,
Certified reduced-order methods for optimal treatment planning,
A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement,
The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi),
How To Best Sample a Solution Manifold?,
Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations,
Energy Stable Model Reduction of Neurons by Nonnegative Discrete Empirical Interpolation,
Model Order Reduction for Problems with Large Convection Effects,
A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media,
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs,
Efficient Resolution of Anisotropic Structures,
Nonlinear Reduced Models for State and Parameter Estimation,
A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries
