An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations
type: Item
instance of: scholarly article
title: An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations
author: Marco Bernreuther
author: S. Volkwein
published in: Advances in Computational Mathematics
publication date: 2024-06-25T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7870807
zbMATH Keywords: nonsmooth parabolic equations
zbMATH Keywords: space-time discretization
zbMATH Keywords: reduced basis
zbMATH Keywords: discrete empirical interpolation
zbMATH Keywords: a-posteriori error estimation
zbMATH Keywords: semismooth Newton
MaRDI profile type: Publication
cites work: Approximation of a nondifferentiable nonlinear problem related to MHD equilibria
cites work: An Introduction to Fronts in Random Media
cites work: A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems
cites work: Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations
cites work: A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems
cites work: Space-time methods. Applications to partial differential equations
cites work: Space-time finite element methods for parabolic problems
cites work: Comparison of algebraic multigrid methods for an adaptive space–time finite‐element discretization of the heat equation in 3D and 4D
cites work: A fast sparse grid based space-time boundary element method for the nonstationary heat equation
cites work: A space-time certified reduced basis method for quasilinear parabolic partial differential equations
cites work: A space-time hp-interpolation-based certified reduced basis method for Burgers' equation
cites work: An improved error bound for reduced basis approximation of linear parabolic problems
cites work: An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution
cites work: Space-time POD-Galerkin approach for parametric flow control
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: Nonlinear Model Reduction via Discrete Empirical Interpolation
cites work: A state space error estimate for POD-DEIM nonlinear model reduction
cites work: Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations
cites work: Optimal Control of Nonsmooth, Semilinear Parabolic Equations
cites work: Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations
cites work: 1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE
cites work: Q5189317
cites work: Q4360234
cites work: Model Reduction and Approximation
cites work: Certified Reduced Basis Methods for Parametrized Partial Differential Equations
cites work: Error estimates of the lumped mass finite element method for semilinear elliptic problems
cites work: Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems
cites work: Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates
DOI: 10.1007/S10444-024-10137-4
description: scientific article; zbMATH DE number 7870807