DOI10.1137/110823158zbMath1260.65091OpenAlexW2031978570MaRDI QIDQ4903764
ChunYan Huang, Wolfgang Dahmen, Christoph Schwab, Gerrit Welper
Publication date: 24 January 2013
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://publications.rwth-aachen.de/record/47313
A priori error analysis of high-order LL* (FOSLL*) finite element methods,
Least-squares ReLU neural network (LSNN) method for linear advection-reaction equation,
A dual Petrov-Galerkin finite element method for the convection-diffusion equation,
Convergence rates of the DPG method with reduced test space degree,
A robust Petrov-Galerkin discretisation of convection-diffusion equations,
Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases,
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations,
Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm,
The DPG method for the Stokes problem,
Reduced basis methods with adaptive snapshot computations,
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems,
Construction of DPG Fortin operators for second order problems,
A geometric multigrid preconditioning strategy for DPG system matrices,
Saddle point least squares iterative solvers for the time harmonic Maxwell equations,
Anisotropic multiscale systems on bounded domains,
Least-squares ReLU neural network (LSNN) method for scalar nonlinear hyperbolic conservation law,
Adaptive least-squares finite element methods for linear transport equations based on an H(div) flux reformulation,
A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems,
A Registration Method for Model Order Reduction: Data Compression and Geometry Reduction,
Least-squares neural network (LSNN) method for scalar nonlinear hyperbolic conservation laws: discrete divergence operator,
Robust DPG Methods for Transient Convection-Diffusion,
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers,
Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement,
A variational multiscale method derived from an adaptive stabilized conforming finite element method via residual minimization on dual norms,
A space-time discontinuous Galerkin discretization for the linear transport equation,
State Estimation—The Role of Reduced Models,
An Optimally Stable Approximation of Reactive Transport Using Discrete Test and Infinite Trial Spaces,
Computation and learning in high dimensions. Abstracts from the workshop held August 1--7, 2021 (hybrid meeting),
On the stability of DPG formulations of transport equations,
Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models -- application to transient elastodynamics in space-time domain,
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods,
An Overview of the Discontinuous Petrov Galerkin Method,
An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations,
Dualizable shearlet frames and sparse approximation,
Isogeometric residual minimization method (iGRM) with direction splitting for non-stationary advection-diffusion problems,
A saddle point least squares approach to mixed methods,
A saddle point least squares approach for primal mixed formulations of second order PDEs,
Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach,
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations,
How To Best Sample a Solution Manifold?,
Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations,
Guaranteed and robust L2-norm a posteriori error estimates for 1D linear advection problems,
An adaptive nested source term iteration for radiative transfer equations,
On the approximation of functions with line singularities by ridgelets,
Flow solutions of transport equations,
Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov--Galerkin, and Monotone Mixed Methods,
A Spacetime DPG Method for the Schrödinger Equation,
The DPG methodology applied to different variational formulations of linear elasticity,
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms,
Using a DPG method to validate DMA experimental calibration of viscoelastic materials,
Discrete least-squares finite element methods,
Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods,
An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model,
Adaptive strategies for transport equations,
The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces,
Adaptive flux-only least-squares finite element methods for linear transport equations,
Efficient Resolution of Anisotropic Structures,
Nonlinear Reduced Models for State and Parameter Estimation,
Optimal Local Approximation Spaces for Parabolic Problems,
An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution,
Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation