Numerical solution of parabolic problems based on a weak space-time formulation

DOI10.1515/cmam-2016-0027zbMath1355.65133arXiv1603.03210OpenAlexW3106297403MaRDI QIDQ502206

Matteo Molteni, Stig Larsson

Publication date: 3 January 2017

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

Full work available at URL: https://arxiv.org/abs/1603.03210

zbMATH Keywords

heat equationnumerical experimentsfinite elementsuperconvergenceerror estimatePetrov-Galerkinquasi-optimalityweak space-time formulation

Mathematics Subject Classification ID

Heat equation (35K05) 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 (12)

Space-time \(hp\)-approximation of parabolic equations ⋮ A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations ⋮ Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme ⋮ The Auxiliary Space Preconditioner for the de Rham Complex ⋮ Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems ⋮ Space-time Petrov-Galerkin FEM for fractional diffusion problems ⋮ A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations ⋮ Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview ⋮ The $L^2$-Projection and Quasi-Optimality of Galerkin Methods for Parabolic Equations ⋮ Mittag--Leffler Euler Integrator for a Stochastic Fractional Order Equation with Additive Noise ⋮ An exact realization of a modified Hilbert transformation for space-time methods for parabolic evolution equations ⋮ Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces

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