Adaptive Galerkin finite element methods for the wave equation

From MaRDI portal
Publication:2439932

DOI10.2478/cmam-2010-0001zbMath1283.35053OpenAlexW2013519714MaRDI QIDQ2439932

Michael Ernst Geiger, Rolf Rannacher, Wolfgang Bangerth

Publication date: 26 March 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2010-0001




Related Items (41)

Adaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimations\(C^1\)-conforming variational discretization of the biharmonic wave equationAn adaptive Galerkin method for the time-dependent complex Schrödinger equationA posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equationScale-bridging with the extended/generalized finite element method for linear elastodynamicsAn adaptive finite element method for high-frequency scattering problems with smoothly varying coefficientsReceding horizon control for the stabilization of the wave equationError analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in spaceModal-based goal-oriented error assessment for timeline-dependent quantities in transient dynamicsAn MP-DWR method for \(h\)-adaptive finite element methodsHigh‐order non‐conforming discontinuous Galerkin methods for the acoustic conservation equationsAdjoint-based optimization of the actuator velocity profile in an inkjet print headTent pitching and Trefftz-DG method for the acoustic wave equationA posteriori error analysis of a fully-discrete finite element method for the wave equationAsymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave EquationNumerical modeling and open-source implementation of variational partition-of-unity localizations of space-time dual-weighted residual estimators for parabolic problemsSpace-time mixed system formulation of phase-field fracture optimal control problemsDerivation of third order Runge-Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimationGoal-oriented a posteriori error estimation for Dirichlet boundary control problemsTensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problemsSpace-Time Finite Element Methods for Distributed Optimal Control of the Wave EquationIntegral representations and quadrature schemes for the modified Hilbert transformationOptimal Dirichlet boundary control by Fourier neural operators applied to nonlinear opticsFinite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficientsVariational space-time methods for the wave equationA generalized inf-sup stable variational formulation for the wave equationError assessment in structural transient dynamicsAdaptive isogeometric analysis for plate vibrations: an efficient approach of local refinement based on hierarchical a posteriori error estimationExplicit-in-time goal-oriented adaptivityCoercive space-time finite element methods for initial boundary value problemsA DPG-based time-marching scheme for linear hyperbolic problemsFlexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flowGoal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solutionOn Time Discretizations of Fluid-Structure InteractionsPost-processed Galerkin approximation of improved order for wave equationsNumerical Study of Galerkin–Collocation Approximation in Time for the Wave EquationTime-domain goal-oriented adaptivity using pseudo-dual error representationsAn easily computable error estimator in space and time for the wave equationGalerkin–collocation approximation in time for the wave equation and its post-processingAn efficient goal‐oriented sampling strategy using reduced basis method for parametrized elastodynamic problemsVariational time discretization for mixed finite element approximations of nonstationary diffusion problems


Uses Software



This page was built for publication: Adaptive Galerkin finite element methods for the wave equation