DOI10.1093/imanum/drn039zbMath1183.65134arXiv0803.3824OpenAlexW2119556806MaRDI QIDQ3649439
Pedro Morin, Fernando D. Gaspoz
Publication date: 4 December 2009
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.3824
Space-time \(hp\)-approximation of parabolic equations,
Discontinuous Galerkin methods for acoustic wave propagation in polygons,
Finite elements with mesh refinement for elastic wave propagation in polygons,
Approximation classes for adaptive higher order finite element approximation,
Reliable a posteriori error estimation for state-constrained optimal control,
Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type,
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values,
Relaxing the CFL condition for the wave equation on adaptive meshes,
Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons,
Adaptive FEM for Helmholtz equation with large wavenumber,
Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines,
Convergence of an adaptive Kačanov FEM for quasi-linear problems,
Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs,
Adaptive IGAFEM with optimal convergence rates: T-splines,
Multilevel Quasi-Monte Carlo Uncertainty Quantification for Advection-Diffusion-Reaction,
Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs,
Besov regularity of parabolic and hyperbolic PDEs,
New error estimates of the Morley element for the plate bending problems,
New error estimates of nonconforming mixed finite element methods for the Stokes problem,
Finite elements with mesh refinement for wave equations in polygons,
Adaptive Uzawa algorithm for the Stokes equation,
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients,
A PDE approach to fractional diffusion: a space-fractional wave equation,
Tensor FEM for spectral fractional diffusion