An exact realization of a modified Hilbert transformation for space-time methods for parabolic evolution equations

DOI10.1515/cmam-2020-0026zbMath1475.65137OpenAlexW3099120560MaRDI QIDQ2052466

Marco Zank

Publication date: 26 November 2021

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

Full work available at URL: https://doi.org/10.1515/cmam-2020-0026

zbMATH Keywords

finite element methodparabolic equationsspace-timemodified Hilbert transformationGalerkin-Bubnov

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Towards coercive boundary element methods for the wave equation ⋮ Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES ⋮ Integral representations and quadrature schemes for the modified Hilbert transformation ⋮ An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization ⋮ Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces

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