Interpolation operators for parabolic problems
DOI10.1007/s00211-023-01373-9zbMath1523.65011arXiv2212.04134OpenAlexW4386600262MaRDI QIDQ6093394
Johannes Storn, Rob P. Stevenson
Publication date: 6 October 2023
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.04134
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) 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)
Cites Work
- Axioms of adaptivity
- Non-autonomous maximal regularity for forms of bounded variation
- A space-time DPG method for the heat equation
- Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space
- An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems
- Space-time least-squares finite elements for parabolic equations
- The completely discretized problem of the dual mixed formulation for the heat diffusion equation in a polygonal domain by the Crank-Nicolson scheme in time
- A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
- Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources
- Parabolic Lipschitz truncation and caloric approximation
- Optimality of a standard adaptive finite element method
- The $L^2$-Projection and Quasi-Optimality of Galerkin Methods for Parabolic Equations
- Space-time adaptive wavelet methods for parabolic evolution problems
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Error estimates for some mixed finite element methods for parabolic type problems
- Time-Parallel Iterative Solvers for Parabolic Evolution Equations
- Parallel-In-Space-Time, Adaptive Finite Element Framework for Nonlinear Parabolic Equations
- Symmetric Error Estimates for Moving Mesh Galerkin Methods for Advection-Diffusion Equations
- Stability of Galerkin discretizations of a mixed space–time variational formulation of parabolic evolution equations
- Finite Elements I
- Finite Elements III
- Further results on a space-time FOSLS formulation of parabolic PDEs
- A Parallel Algorithm for Solving Linear Parabolic Evolution Equations
- Inf-sup stability implies quasi-orthogonality
- Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
- An improved error bound for reduced basis approximation of linear parabolic problems
- Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations
- Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations
- MINRES for Second-Order PDEs with Singular Data
- Interpolation operator on negative Sobolev spaces
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