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Space-Time Finite Element Methods for Parabolic Problems
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Olaf Steinbach
Veröffentlicht/Copyright:
9. September 2015
Abstract
We propose and analyze a space-time finite element method for the numerical solution of parabolic evolution equations. This approach allows the use of general and unstructured space-time finite elements which do not require any tensor product structure. The stability of the numerical scheme is based on a stability condition which holds for standard finite element spaces. We also provide related a priori error estimates which are confirmed by numerical experiments.
Received: 2015-7-20
Revised: 2015-8-16
Accepted: 2015-8-28
Published Online: 2015-9-9
Published in Print: 2015-10-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Editorial
- On Preservation of Positivity in Some Finite Element Methods for the Heat Equation
- An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
- A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method
- Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics
- An Algorithm for the Numerical Solution of Two-Sided Space-Fractional Partial Differential Equations
- Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control
- Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations
- Space-Time Finite Element Methods for Parabolic Problems
Artikel in diesem Heft
- Frontmatter
- Editorial
- On Preservation of Positivity in Some Finite Element Methods for the Heat Equation
- An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
- A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method
- Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics
- An Algorithm for the Numerical Solution of Two-Sided Space-Fractional Partial Differential Equations
- Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control
- Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations
- Space-Time Finite Element Methods for Parabolic Problems
