Stability of sparse space–time finite element discretizations of linear parabolic evolution equations

By Roman Andreev. 2013

96 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/84a2ab81c268609654fa72d3bb1c41ca542f97c7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Christine Tobler
2. Marco Zank
3. Olaf Steinbach
4. Roman Andreev
5. Dmitry V. Savostyanov
6. V. Dolgov

In Computational Theory and Mathematics

1. Christine Tobler
2. Roman Andreev
3. Marco Zank
4. Olaf Steinbach
5. Daniel Kressner
6. Dmitry V. Savostyanov
7. V. Dolgov
8. André Uschmajew

In Numerical Analysis

1. Christine Tobler
2. Marco Zank
3. Olaf Steinbach
4. Sergey E. Mikhailov

Citations in the corpus

• Multilevel preconditioning and low‐rank tensor iteration for space–time simultaneous discretizations of parabolic PDEs (2015, methodology): “Recent numerical methods which build upon this fact are the adaptive wavelet method [34] and the a priori stable (nonadaptive) minimal residual Petrov-Galerkin discretization [1].”
• Coercive space-time finite element methods for initial boundary value problems (2020, background): “, [1, 15, 30, 31, 34, 37, 43]), the analysis of boundary integral equations and related boundary element methods for the solution of the heat equation (1.”
• Low-rank tensor methods for linear systems and eigenvalue problems (2012, methodology): “y = ttm(x, {A, B, C}, [2, 3, 4]) successively applies A,B,C to X in modes 2, 3, 4.”